Analog simulation of the dynamics of a van der Pol oscillator coupled to a Duffing oscillator
Jean Chamberlain ChedjouDepartment de Physique, Universite de Dschang, Dschang, CameroonHilaire Bertrand FotsinDepartment de Physique, Universite de Dschang, Dschang, CameroonP. WoafoDepartment de Physique, Universite de Yaounde, Yaounde, CameroonS. DomngangDepartment de Physique, Universite de Yaounde, Yaounde, Cameroon
2001en
ABI
Abstract
This paper studies, with analog simulators, the dynamics of a system consisting of a van der Pol oscillator coupled to a Duffing oscillator. Amplitude-response curves are obtained in the case of internal resonance. The jump or hysteresis phenomenon is found. Various bifurcations are observed, and it is found that chaos can appear suddenly, through period-adding or through torus breakdown. The experimental results are compared with the numerical solutions.
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