Title :
Bifurcation phenomena and chaotic oscillations in a system described by the Duffing-Van der Pol´s equation
Author :
Yamaguchi, Kenjiro ; Shibayama, Hiroshi
Author_Institution :
Fac. of Eng., Osaka Inst. of Technol., Japan
Abstract :
Bifurcation of periodic oscillations and chaotic states in a system described by the Duffing-van der Pol´s equation are considered. Bifurcation sets of periodic solutions are calculated using digital computers. The structure of invariant curves in the harmonic entrained region is studied. The strange attractor and the strange repeller obtained in the system are given. Correlations between chaotic oscillations and unstable periodic points are considered
Keywords :
chaos; circuit oscillations; nonlinear network analysis; stability; Duffing-Van der Pol´s equation; bifurcation phenomena; chaotic oscillations; harmonic entrained region; invariant curves; periodic oscillations; strange attractor; strange repeller; unstable periodic points; Bifurcation; Chaos; Density estimation robust algorithm; Frequency; Nonlinear equations; Oscillators; Periodic structures; Steady-state;
Conference_Titel :
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location :
Champaign, IL
DOI :
10.1109/MWSCAS.1989.102078
