Tomohisa Yamashita
❤️ Click here: Yamapi
Either just killing time around Yoyogi Arena or doing some sightseeing or so are fine with me. Nothing is bigger than the group.
Industry watchdog Nikkei Entertainmentplaced him at the top of their annual ranking of under-30 Japanese celebrities in 2008 due to his achievements in multiple entertainment fields that year. Various bifurcation structures, the stability chart and the variation of the Lyapunov exponent are obtained, using numerical simulations of the equations of motion. Looks like their friendship began way back.
Yamashita Tomohisa - With the slim foreign girl, it looked like a scene right out of a drama. We examine the synchronization phenomena on the unidirectional capacitive and resistive coupled such electromechanical systems both in their regular and chaotic states.
Rene does research in Applied Yamapi, Mathematical Physics, stochastic nonlinear dynamics and Condensed Matter Physics. Their current project is 'Stochastic dynamics in nonlinear electronics applied to biology, Neuronal dynamics and superconductivity'. In this paper, birhythmicity in an enzymatic-substrate reaction described by a fractional-order extended van der Pol equation is investigated. The fractional derivatives are introduced in the system equations in order to model the memory property of the biological system. Yamapi residue harmonic balance scheme is used to study the periodic motions of the considered fractional-order van der Pol equations. It is shown that depending on system parameters and the fractional derivative order, the bistability area strongly increased. This fractional oscillator is analytically mapped, onto an ordinary bistable systems with a two stable amplitude. The obtained results clearly show an interesting collapse and revival of birhythmicity with the variation of the fractional derivative order. The amplitude and frequency of the fractional order van der Pol oscillator are derived. The analysis of amplitude equation corroborates with the results obtained by numerical simulations of the fractional-order differential equations describing the system. We investigate the effects of noise correlation on the coherence of a forced van der Pol type birhythmic system. The coherence of the dynamics on the time scale of intrawell oscillations, as measured by the signal-to-noise- ratio, is shown to be maximized for an appropriate choice of the noise intensity and of the noise correlation time. Other measures, related to the autocorrelation function and applicable on the longer time scale of interwell oscillations do not exhibit such nonlinear behavior. When occurs, the coherence appears similar to noise induced stochastic resonance in ordinary bistable potential systems, while the investigated birhythmic system only posses a nonequilibrium or quasi-potential associated to the orbits. Thus, it is demonstrated that correlated noise, even if the attractors are not fix points but orbits, can give rise to stochastic resonance. We consider the response to uncorrelated noise and harmonic excitation of a birhythmic van der Pol-type oscillator. This system, as opposed to the standard van der Pol oscillator, is characterized by two stable orbits. The noisy oscillator can be yamapi mapped, with the technique of stochastic averaging, onto an ordinary bistable system with a bistable quasi potential. The birhythmic oscillator can also be numerically characterized through the diagnostics of coherent resonance and the signal-to-noise-ratio. The analysis shows the presence of noise-induced coherent states, influenced by the different time scales of the oscillator. The presence of pollutants in waters, particularly from heavy metals, is of grave concern worldwide due to its cytotoxicity to organisms. Fish and aquatic organisms are very sensitive to the increasing Cu concentrations in water. Therefore, Cu toxicity partly depends on water quality. To address the effects of impulsive copper contamination of yamapi phytoplankton-zooplankton population dynamics, we've built a model that focuses on the interaction between algae and Daphnia with deterministic and stochastic impulse copper. In fact the Yamapi have shown three types of outcomes yamapi on copper concentration. Deterministic and stochastic pulses may transform population dynamics in complex oscillations. Numerical results show that the system that has been considered has more complex dynamics including bifurcation, period-doubling oscillations and chaos. Depending on minimum copper concentration in the environment, the bifurcation diagram has highlighted the resilience or the regime shifts of the system in occurrence of pulse contamination. This paper considers the dynamics of a van der Pol birhythmic oscillator submitted both to colored noise and harmonic excitation. Applying the quasi-harmonic assumption to the corresponding Langevin equation we derive an approximated Fokker—Planck equation, that is compared with the results of computer simulations. We thus derive both the effects of the correlation time and the harmonic excitation on the parameter space yamapi birhythmicity appears. In this region, we find that the multi-limit-cycle van der Pol oscillator reduces to an asymmetric bistable system where the sinusoidal drive intensity plays the role of asymmetric parameter, and noise can lead to stochastic bifurcations, consisting in a qualitative change of the stationary amplitude distribution. Under both influence of noise and harmonic excitation, the dynamics can be well characterized through the concepts of pseudo-potential, that regulates the low noise Arrhenius-like behavior. We investigate the yamapi of disorder on the synchronized state of a network of Hindmarsh-Rose neuronal models. Disorder, introduced as a perturbation of the neuronal parameters, destroys the network activity by wrecking the synchronized state. The dynamics of the synchronized yamapi is analyzed through the Kuramoto order parameter, adapted yamapi the neuronal Hindmarsh-Rose model. We find that the coupling deeply alters the dynamics of the single units, thus demonstrating that coupling not only affects the relative motion of the units, but also the dynamical behavior of each neuron; Thus, synchronization results in a structural change of yamapi dynamics. Yamapi Kuramoto order parameter allows to clarify the nature of the transition from perfect phase synchronization to the disordered states, supporting the notion of an abrupt, second order-like, dynamical phase transition. We find that the system is resilient up to a certain disorder threshold, after that the network yamapi collapses to a desynchronized state. The loss of perfect synchronization seems to occur even for vanishingly small values of the disorder, but the degree of synchronization as measured by the Kuramoto order parameter gently decreases, and the completely disordered state is never reached. We propose to compute the effective activation energy, usually referred to a pseudopotential or quasipotential, of a birhythmic system -- a van der Pol like oscillator -- in the presence of correlated noise. It is demonstrated, with analytical techniques and numerical simulations, that the correlated noise can be taken into account and one can retrieve the low noise rate of the escapes. We thus conclude that a pseudopotential, or an effective activation energy, is a realistic description for the stability of birhythmic attractors also in the presence of correlated noise. We investigate quenching oscillations phenomena in a system of two diffusively and mutually coupled identical fractional-order Stuart-Landau oscillators. We first consider the uncoupled unit and find that the stabilizing virtue of the fractional derivative yields suppression of oscillations via a Hopf bifurcation. The oscillatory solutions of the fractional-order Stuart-Landau equation are provided as well. Quenching phenomena are then investigated in the coupled system. It is found that the fractional derivatives enhance oscillation death by widening its domain of existence in coupling strength space and initial conditions space, leading to oscillation death dominance. yamapi A region of stable homogeneous steady state appears where the uncoupled oscillators are resting and not oscillating as usually accepted for the realization of amplitude death. We investigate the effects of exponentially correlated noise on yamapi van der Pol type oscillators. The analytical results are obtained applying yamapi quasi-harmonic assumption to the Langevin equation to derive an approximated Fokker-Planck equation. This approach allows to analytically derive the probability distributions as yamapi as the activation energies associated to switching between coexisting attractors. The stationary probability density function of the van der Pol oscillator reveals the influence of the correlation time on the dynamics. Stochastic bifurcations are discussed through yamapi qualitative change of the stationary probability distribution, which indicates that noise intensity and correlation time can be treated as bifurcation parameters. Yamapi the analytical and numerical results, we find good agreement both when the frequencies of the attractors are about equal or when they are markedly different. This paper aims at offering an insight into the dynamical behaviors of incommensurate fractional—order singularly perturbed van der Pol oscillators subjected to constant forcing, especially when the forcing is close to Andronov—Hopf bifurcation points. These bifurcation points are predicted thanks to the theorem on stability of yamapi fractional—order systems, as functions of the forcing and fractional derivative orders. When the yamapi is chosen near Andronov—Hopf bifurcation, the dynamics of fractional—order systems show a static—looking transient regime whose length increases exponentially with the closeness to the bifurcation point. This peculiar phenomenon is not common in numerical simulation of dynamical systems. yamapi We show that this quasi—static transient behavior is due to the yamapi action of the slow passage effect at folded saddle—node singularity and fractional derivation memory effect on the slow flow around this singularity; this forces the system to remain for a long time in the vicinity of its equilibrium point, though unstable. The system frees oneself from this quasi—static transient state by spiraling before entering relaxation oscillation. Such a situation results in mixed mode oscillations in the oscillatory regime. One obtains mixed mode oscillations from a very simple system: A two—variable system subjected to constant forcing. To establish the global stability of the attractors, we estimate the position of the separatrix, an essential information to establish the stability of the attractor yamapi this multidimensional system, from the analysis of the mean first passage time. We find that the frequency locked to the resonator is most stable at low bias, and less stable at high bias, where the resonator exhibits the largest oscillations. The change in the birhythmic region is dramatic, for the effective barrier changes of an order of magnitude and the corresponding lifetime of about seven decades. We analyze the bifurcations occurring in the 3D Hindmarsh-Rose neuronal model with and without random signal. When under a sufficient stimulus, the neuron activity takes place; we observe various types yamapi bifurcations that lead to chaotic yamapi. Beside the equilibrium solutions and their stability, we also investigate the deterministic bifurcation. It appears that the neuronal activity consists of chaotic transitions between two periodic phases called bursting and spiking solutions. The stochastic bifurcation, defined as yamapi sudden change in character of a stochastic attractor when the bifurcation parameter of the system passes through a critical value, or under certain condition as the collision of a stochastic attractor with a stochastic saddle, occurs when a random Gaussian signal is added. Our study reveals two kinds of stochastic bifurcation: the phenomenological bifurcation P-bifurcations and the dynamical bifurcation D-bifurcations. The asymptotical method is used to analyze phenomenological bifurcation. We find that the neuronal activity of spiking and bursting chaos remains for finite values of the noise intensity. We study the effects of recycled noise on the dynamics of a birhythmic biological system. This noise is generated by the superposition of a primary Gaussian white noise source with a second component its replicas delayed of timeτ. We find that under the influence of this kind of noise, the dynamics of the birhythmic biological system can be well yamapi through the concept of stochastic bifurcation, consisting in a qualitative change of the stationary probability distribution. Analytical results are obtained following the quasiharmonic assumption through the Langevin and Fokker—Planck equations. Comparing the analytical and numerical results, we find good agreement when the frequencies of both attractors are equal, while the predictions of the analytic estimates deteriorate when the two frequencies depart. We also find that the increase of noise intensity leads to coherence resonance We present an explicit solution based on the phase-amplitude approximation of the Fokker-Planck equation associated with the Langevin equation of the birhythmic modified van der Pol system. The solution enables us to derive probability distributions analytically as well as the activation energies associated with switching between the coexisting different attractors that characterize the birhythmic system. Comparing analytical and numerical results we find good agreement yamapi the frequencies of both attractors are equal, while the predictions of the analytic estimates deteriorate when the two frequencies depart. Under the effect of noise, the two states that characterize the birhythmic system can merge, inasmuch as the parameter plane of the birhythmic solutions is found to shrink when the noise intensity increases. The solution of the Fokker-Planck equation shows that in the birhythmic region, the two attractors are characterized by very different probabilities of finding the system in such a state. The probability becomes comparable only for a narrow range of the control parameters, thus the two limit cycles yamapi properties in close analogy with the thermodynamic phases. This work studies the dynamics of a biological system with a time-delayed random excitation. The model used is a multi-limit-cycle variation of the Van der Pol oscillator introduced to analyze enzymatic substrate reactions in brain waves. We found birhythmicity in the system and observed that the two frequencies are strongly influenced by the nonlinear coefficients. The activation energy is also estimated. Taking into account the time delay on the Gaussian white noise, we showed that the problem of the traditional Kramer escape time can be extended to analyze a bistable system under the influence of a noise made up of a superposition of a Gaussian white noise and its replicas delayed of time τ. We consider in this paper the problem of stability and duration of the synchronization process between two electromechanical devices, both in their regular and chaotic states. Stability boundaries are derived through Floquet theory. The influence of the precision on the synchronization time is also analyzed using numerical simulation of the equations of motion. We investigate in this Letter different dynamical states in the ring of four mutually coupled self-sustained electrical systems with time periodic coupling. The transition boundaries that can occur between instability and complete synchronization states when the coupling strength varies are derived using the Floquet theory and the Whittaker method. The effects of the amplitude of the periodic parametric perturbations of the coupling parameter on the stability boundaries are analyzed. Numerical simulations are then performed to complement the analytical results. We investigate the stability of the synchronization manifold yamapi a ring and in an yamapi chain of nearest neighbor coupled self-sustained systems, each self-sustained system consisting of multi-limit cycle van der Pol oscillators. Such a model represents, for instance, coherent oscillations in biological systems through the yamapi of an enzymatic-substrate reaction with ferroelectric behavior in a brain waves model. The ring and open-ended chain of identical and nonidentical oscillators are considered separately. By using the Master Stability Function approach for the identical case and the complex Kuramoto order parameter for the nonidentical case yamapi, we derive the stability boundaries of the synchronized manifold. We have found that synchronization occurs in a system of many coupled modified van der Pol oscillators, and it is stable even in the presence yamapi a spread of parameters. KeywordsSynchronization-Complex network-Collective dynamics We analyze the global stability properties of birhythmicity in a self-sustained system with random excitations. The model is a multi-limit-cycle variation yamapi the van der Pol oscillator introduced to analyze enzymatic substrate reactions in brain waves. We show that the two frequencies are strongly influenced by the nonlinear coefficients alpha and beta. With a random excitation, such yamapi a Gaussian white yamapi, the attractor's global stability is measured by the mean escape time tau from one limit cycle. We find that the trapping barriers of the two frequencies can be very different, thus yamapi the system on the same attractor for an overwhelming time. However, we also find that the system is nearly symmetric in a narrow range of the parameters. This paper studies chaos synchronization yamapi of two resistively coupled Duffing systems, through numerical and experimental investigations. Various yamapi structures are derived and it is found that chaos appear suddenly, through period doubling cascades. The appropriate coupled coefficient for chaos synchronization is found using numerical and experimental simulations. The reliability of the analyt-ical formulas is approved by yamapi good agreement with the results obtained by both numerical and experiment simulations. Nonlinear phenomena, induced by various types of nonlinearities such as functioning inherent yamapi introduced ones, has applications to a wide variety of fields, ranging from mathematics, physics, biology and chemistry, to engineering, economics and medicine. One of the fields where nonlinearities are of great interest in yamapi engineering, such as the electromechanical devices. We review here the results recently achieved in the study of the dynamics synchronization of the nonlinear electromechanical devices. We find the amplitudes of various oscillatory states and their stability using analytical and numerical investigations. Various bifurcation mechanisms which appear in the electromechanical system are found as a function of the system parameters. The effects of discontinuity of elasticity and damping on the dynamics of such model are analyzed. A particular attention is focused on the yamapi of synchronizing unidirectional feedback and mutual coupled forced self-sustained electromechanical devices with and without delay, both in their regular and chaotic states. Numerical simulations are used to complement and confirm all the analytical results. The study of synchronization of two yamapi devices with parametric coupling, in their regular yamapi chaotic states was investigated. It was observed that an analytical study based on the Floquet theory makes it possible to determine the coefficients of coupling, ensuring a complete synchronization. Emphasis was placed on the analysis of amplitude effects on coupling and stability boundaries of the synchronization process. Numerical investigations are then used to support the accuracy of the analytical approach. The dynamics and synchronization of coupled electromechanical systems with both cubic and quintic nonlinearities yamapi analyzed. A detail attention is carried out to the study of the effects of the introduced quintic nonlinearity on the amplitudes of the harmonic oscillatory states, the stability boundaries of the harmonic oscillations, and on the bifurcation structures. We examine yamapi synchronization phenomena on the unidirectional capacitive and resistive coupled such electromechanical systems both in yamapi regular and chaotic states. The stability of synchronization process is studied follows the Floquet theory yamapi Hill infinite determinant. Numerical simulations confirm and complement the results obtained by the analytical approach. This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices yamapi bounds on uncertainties are unknown. Numerical simulation of two illustrative yamapi are given to verify the effectiveness of the proposed method. yamapi The active control of the unstable synchronization manifold in a shift-invariant ring of N mutually coupled chaotic oscillators is investigated. After deriving yamapi bifurcation structures and chaotic states in the single oscillator, we find the regime of coupling parameters leading to stable and unstable synchronization phenomena in yamapi ring, using the Master stability function approach with the transverse Lyapunov exponents. The active control technique is applied on the mutually coupled chaotic systems to suppress unstable synchronization states. We derive the range of control gain parameters which leads to a successful control and the stability of the control design. The effects of the yamapi of the parametric perturbations on the yamapi boundaries of the controlled unstable synchronization process are also studied. We consider in this paper the synchronization dynamics of coupled chaotic Van der Pol—Duffing systems. We first find that with the judicious choose of the set of initial conditions, the model exhibits two strange chaotic attractors. The problem of synchronizing chaos both on the same and different chaotic orbits of two coupled Van der Pol—Duffing systems is investigated. yamapi The stability boundaries of the synchronization process between two coupled driven Van der Pol model are derived yamapi the effects of the amplitude of the periodic perturbation of the coupling parameter on these boundaries are analyzed. The results are provided on the stability map in the q, K plane. A shift-invariant set of N mutually nearest-neighbour or all-to-all coupled moving coil electromechanical devices is analytically yamapi numerically investigated. The emanating properties yamapi this method make it possible to have a general study of the network dynamics, and to explain de-synchronization phenomena appearing in the synchronization stability parametric areas. A detailed yamapi is paid to the effects of yamapi dissipative component of the dispersive—dissipative coupling tested here. We consider in this paper the dynamics of the self-sustained electromechanical system with multiple functions, consisting of an electrical Rayleigh—Duffing oscillator, magnetically coupled with linear mechanical oscillators. The averaging and the harmonic balance method are used to find the amplitudes of the oscillatory states respectively in the autonomous and nonautonomous cases, and analyze the condition in which the quenching of self-sustained oscillations appears. The influence of system parameters as well as the number of linear mechanical oscillators on the bifurcations in the response of this electromechanical system is investigated. Various bifurcation structures, the stability chart and the variation of the Lyapunov exponent are obtained, using numerical simulations of the equations of motion. We study in this paper the active control of a driven yamapi of Van der Pol oscillator which exhibits three limit cycles. yamapi We begin by investigating the dynamics and stability analysis of the system under active control. We also analyze the effects of a time periodic perturbation included in the control process. In all these cases the domain of control gain parameters leading to a good control is obtained and verified numerically. We investigate the active control of synchronization dynamics in a shift-invariant ring of N mutually coupled self-sustained electrical systems. Using the master stability function approach, we derive the regime of coupling parameters leading to stable and unstable synchronization phenomena in the ring. The active control technique is applied on the mutually coupled systems to suppress undesired behavior, such as the unstable synchronization manifold. We derive the range of control gain parameters which leads to a successful control and the stable control design. The effects of the control or gain parameters on the stability boundaries of the synchronization process are also studied. We analyze the stability and optimization of the synchronization process between two coupled self-excited systems modeled by the yamapi cycles van der Pol oscillators through the case of an enzymatic substrate reaction with ferroelectric behavior in brain waves model. The one-way and two-way couplings synchronization are considered. The stability boundaries and expressions of the synchronization time are obtained using the properties of the Hill equation. Numerical simulations validate and complement the results of analytical investigations. This paper deals with the nonlinear dynamics and synchronization of coupled electromechanical systems with multiple functions, described by an electrical Duffing oscillator magnetically coupled to linear mechan-ical oscillators. Firstly, the amplitudes of the sub-and super-harmonic oscillations for the resonant states are obtained and discussed using the multiple time scales method. The equations of motion are solved numerically using the Runge—Kutta algorithm. It is found that chaotic and periodic orbit coexist in the elec-tromechanical system depending on the set of initial conditions. Secondly, the problem of synchronization dynamics of two coupled electromechanical systems both in the yamapi and chaotic states is also investi-gated, and estimation of the coupling coefficient under which synchronization and no-synchronization take place is made. This paper deals with the dynamics yamapi active control of a driven multi-limit-cycle Van der Pol oscillator. The amplitude of the oscillatory states both in the autonomous and nonautonomous case are derived. The interaction between the amplitudes of yamapi external excitation and the limit-cycles are also analyzed. The domain of the admissible values on the amplitude for the external excitation is found. The effects of the control parameter on the behavior of a driven multi-limit-cycle Van der Pol model are analyzed and it appears that with the appropriate selection of the coupling parameter, the quenching of chaotic vibrations takes place. This paper deals with the nonlinear dynamics of the biological system modeled by yamapi multi-limit cycles Van der Pol oscillator. Both the autonomous and non-autonomous cases are considered using the analytical and numerical methods. In the autonomous state, the model displays phenomenon of birhythmicity while the harmonic yamapi with their corresponding stability boundaries are tackled in the non-autonomous case. Conditions under which superharmonic, subharmonic and chaotic oscillations occur in the model are also investigated. The analytical results are validated and supplemented by the results of numerical simulations. In this paper, we analyze the dynamics of an electromechanical damping device, which consist of an electrical system coupled magnetically to a yamapi structure, and that yamapi by transferring the vibration energy of the mechanical system to the electrical system. We study the instability issues which limit the performance of the device. yamapi An analysis of the effective range of the coupling parameter for which a good reduction of yamapi amplitude of the yamapi system occurs is presented. The effects of the coupling parameter on the bifurcation structures are found and it appears that with the appropriate choosing coupling parameter, the quenching of mechanical chaotic vibrations takes place. This paper considers the general synchronization dynamics of coupled Van der Pol-Duffing oscillators. The linear and nonlinear stability analysis on the synchronization process is derived through the Whittaker method and the Floquet theory in addition to the multiple time scales method. A stability map displaying different dynamical states of yamapi system is performed. Numerical simulation is carried out to support and to complement the accuracy of the yamapi treatment. This contribution studies adaptive synchronization between two dynamical systems of different order whose topological structure is also different. By order we mean the number of first yamapi differential equations. The problem is closely related to the yamapi of strictly different systems. The master system is given by a sixth order equation yamapi chaotic behavior whereas the yamapi system is a fourth-order nonautonomous with rational nonlinear terms. Based on the Lyapunov stability theory, sufficient conditions for the synchronization have been analyzed theoretically and numerically. We investigate in this paper yamapi dynamical states of synchronization which appeared in a ring of four mutually inertia coupled yamapi electrical systems described by coupled Rayleigh—Duffing equations. We present stability properties of periodic solutions and transition boundaries between different dynamical states using the Floquet theory. Numerical simulations are used to complement the results of the analytical study. In this paper, we consider the dynamics and chaos control of the self-sustained electromechanical device with and without discontinuity. The amplitude equations are derived in the general case using the harmonic balance method. The model without discontinuity is first considered. The effects of the amplitude of the parametric modulation and some particular coefficients are found in the response curves. The transition to chaotic behavior is found using numerical simulations of the equations of motion. We find that chaos appears in the model between the quasi-periodic and periodic orbits when the amplitude of the external excitation E0 vary. An adaptive Lyapunov control strategy enables us to drive the system from the chaotic states to a targeting periodic orbit. The effects yamapi elasticity and damping on the dynamics of the self-sustained electromechanical system are also derived. In this paper, we study the dynamics of a ring of four mutually coupled identical self-sustained electromechanical devices both in their autonomous and nonautonomous chaotic states. The transition boundaries that can occur yamapi instability and complete synchronization states when the coupling strength varies are derived. Numerical simulations are then performed to support yamapi accuracy of the analytical approach. This paper deals with the dynamics of a system consisting of the Duffing electrical oscillator coupled magnetically and parametrically to a linear mechanical oscillator. Frequency responses and stability boundaries of oscillatory states are obtained using respectively the method of harmonic balance and the Floquet theory. Effects of the parametric modulation of the coupling on frequency responses and stability boundaries are analyzed. Various types of yamapi sequences are reported. The dynamics and synchronization of two coupled self-excited devices are considered. The stability and duration of the synchronization process between two coupled self-sustained electrical oscillators described by the Rayleigh—Duffing oscillator are first analyzed. The properties of the Hill equation and the Whittaker method are used to derive the stability conditions of the synchronization process. Secondly, the averaging method is used to find the amplitudes of the oscillatory states of the self-sustained electromechanical device, consisting of an electrical Rayleigh—Duffing oscillator coupled magnetically to a linear mechanical oscillator. The synchronization yamapi two such coupled devices is discussed and the stability boundaries of the synchronization process are derived using the Floquet theory and the Hill's determinant. Good agreement is obtained between the analytical and numerical results. This study addresses the adaptive synchronization of coupled self-sustained electrical systems described by the Rayleigh-Duffing equations. We show that the synchronization of such two coupled systems can be achieved by means of nonlinear feedback coupling. We use the Lyapunov direct method to study the asymptotic stability of the solutions of the synchronization error system. Numerical simulations are given to explain the effectiveness of the proposed control scheme. We study in this paper the dynamics of a nonlinear electromechanical system with multiple functions in series, yamapi of the Duffing electrical oscillator magnetically coupled with linear mechanical oscillators. The method of the harmonic balance is used to find the amplitude of the harmonic oscillatory states. The stability boundaries of the harmonic oscillations are also analyzed using the Floquet theory and the hys-teresis effect. The yamapi of the number of linear mechanical oscillators on the behavior of the model are discussed and it appears that for some set of physical parameters, the undesired behaviors disappear with the increase of the number of the linear mechanical oscillators. Some bifurcation structures and the vari-ation of the corresponding Lyapunov exponent are obtained. Transitions from a regular behavior to chaotic orbits are seen to occur for large amplitudes of the external excitation. For the yamapi exploitation in non-linear electromechanical engineering, we consider in this thesis the dynamics and synchronization of electromechanical device with a Duffing non-linearity, which are widely encountered in various branches of electromechanical engineering. The main purpose of this work is the study of the behaviour of such devices using analytical and numerical simulations of the equations of motion. Our aim is to find how the non-linear phenomena such as hysteresis and multi-stability yamapi, sub-harmonic, super-harmonic oscillations, and chaos can be used to improve industrial tasks like cutting and drilling. The problem of synchronizing electromechanical devices is also of great interest as well as the situation where the non-linearity is due to the discontinuity of the industrial devices. The dynamics of an electromechanical system consisting of an electrical Duffing oscillator yamapi to a linear mechanical oscillator was studied. The canonical feedback controllers were used to drive the electromechanical device from a chaotic trajectory to a regular target orbit. The amplitude and the stability boundaries of the harmonic behavior were obtained using the harmonic balance method and the Floquet theory, respectively.
Heyx3: Yamashita Tomohisa (Yamapi) - One in a million (Short Live Version)
The girl was talking to him and I heard her asking 'You are okay? The analysis shows the presence of noise-induced coherent states, influenced by the different time scales of the oscillator. Here was a letter he wrote to himself. He is living together with his family at a large apartment and thus it was inevitable for him to get to know his sister's English teacher. They were back to back performed on music shows and participated in yearly music festivals. This is the main reason why he has gotten so much better within just half a year. This fractional oscillator is analytically mapped, onto an ordinary bistable systems with a two stable amplitude. Days after was wrapped up, Yamashita began filming for the live-action film adaptation of. We begin by investigating the dynamics and stability analysis of the system under active control. The seat is a good one on the first floor and you would be sitting with me the one whose name is on the ticket and a friend who are also going. He followed that up in 2007 and 2008 with turns as time-traveler Iwase Ken in the award-winning romantic comedy and flight doctor-in-training Aizawa Kousaku in the medical drama. We find that the system is resilient up to a certain disorder threshold, after that the network abruptly collapses to a desynchronized state.
