Title :
Analog simulation of the dynamics of a van der Pol oscillator coupled to a Duffing oscillator
Author :
Chedjou, J.C. ; Fotsin, H.B. ; Woafo, P. ; Domngang, S.
Author_Institution :
Dept. de Phys., Univ. de Dschang, Cameroon
fDate :
6/1/2001 12:00:00 AM
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
Keywords :
analogue simulation; bifurcation; chaos; coupled circuits; nonlinear dynamical systems; relaxation oscillators; Duffing oscillator; Van der Pol oscillator; amplitude-response curves; analog simulators; bifurcations; chaos; hysteresis phenomenon; internal resonance; period-adding; torus breakdown; Bifurcation; Biological system modeling; Chaos; Circuit simulation; Couplings; Density estimation robust algorithm; Numerical simulation; Oscillators; Perturbation methods; Resonance;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
