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Date : 1991-03-01
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Bifurcation and Chaos in Coupled Oscillators ~ Dynamics of Two Coupled ExternallyDriven Oscillators Chaos in a Sinusoidally Parametrically and Externally Driven System with Three Degrees of Freedom Dynamics of the Human Vocal Cords Readership Nonlinear scientists researchers and students of mechanical engineering physics and applied mathematics
BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS ~ Bonhöffer–van der PolBVP oscillator is a classic model exhibiting typical nonlinear phenomena in the planar autonomous system This paper gives an analysis of equilibria periodic solutions strange attractors of two BVP oscillators coupled by a resister
Bifurcations and chaos of coupled electrical circuits ~ Yu and Leung introduced the notion called simplest normal form to determine bifurcation of a nonlinear electrical circuit For coupled oscillators because there may exist internal resonance many interesting phenomena such as energy saturation can be observed
PDF Bifurcation and Chaos in Coupled Oscillators ~ Also the condition for the Hopf bifurcation threshold is defined corresponding to the flutter oscillations In the second part the analytical predictions are verified numerically
Experiment on Bifurcation and Chaos in Coupled ~ Also in order to show the reader the validity of the numerically observed phenomena related to oscillation quenching and bifurcation to chaos of two coupled van der PolDuffing oscillators fullscale experiment with electronic circuits would have been welcomed With the motivation of shedding more light on the dynamics of such a coupled system our objective in this paper is threefold i to consider the dynamics of the coupled oscillators and define analytically regions of parameters
Bifurcation and chaos in unidirectionally coupled oscillators ~ ally coupled oscillators are presented by calculating Hopf bifurcation sets of equilibrium points By calculating bifurcation sets of periodic solutions transitions between the solutions with different symmetrical properties are discussed Moreover we observe chaotic repellor without symmetry created by a cascade of perioddoubling bifurcations
Bifurcation and Chaos in Coupled BVP Oscillators ~ Bifurcation and Chaos in Coupled BVP Oscillators Tetsushi Ueta Hisayo Miyazaki y Takuji Kousaka z and Hiroshi Kawakami x Abstract Bonh ffan der PolBVP oscillator is one of classic model exhibiting typical nonlinear phenomena in the planar autonomous system This paper gives an analysis of equilibria periodic solutions
Bifurcation analysis of a simple 3D oscillator and chaos ~ Chaos synchronization in coupled oscillators As we have revealed that dynamic properties of Tamaševičius circuit by depicting bifurcation diagrams Tamaševičius circuit is a possible nonlinear oscillation unit which can exhibit a rich variety of attractors by changing parameters
PDF Bifurcation and Chaos in Coupled Periodically Forced ~ Using the amplitude and the frequency of the driving force as control parameters we show that our model presents phenomena which were not observed in coupled periodically forced Duffing oscillators with identical potentials In the regime of relatively weak coupling bubbles of bifurcations and chains of symmetrybreaking are identified
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