Chaos and Oscillation Death in a Weakly Driven Bonhoeffer-van der Pol Oscillator near a Subcritical Andronov-Hopf Bifurcation

Konferenz: NDES 2012 - Nonlinear Dynamics of Electronic Systems
11.07.2012 - 13.07.2012 in Wolfenbüttel, Germany

Tagungsband: NDES 2012

Seiten: 4Sprache: EnglischTyp: PDF

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Shinotsuka, Yoshimasa; Endo, Tetsuro (Department of Electronics and Bioinformatics, Meiji University, Kawasaki, Japan 214–)
Inaba, Naohiko (Organisation for the Strategic Coordination, of Research and Intellectual Property, Meiji University, Kawasaki, Japan 214–)
Sekikawa, Munehisa (Institute of Industrial Science, The University of Tokyo, Tokyo, Japan 153–)

We carry out bifurcation analysis for a piecewise-linear Bonhoeffer-van der Pol oscillator under weak periodic perturbation. The parameter values are chosen such that a stable focus and a stable relaxation oscillation coexist when no perturbation is applied. When we apply weak periodic perturbation, complicated phenomena such as sudden change from chaos to oscillation death emerge. We analyze these phenomena by applying a piecewise-linear technique combined with a degenerate technique.