Experimental study of complex mixed-mode oscillations generated in a Bonhoeffer-van der Pol oscillator under weak periodic perturbation.
Bifurcations of complex mixed-mode oscillations denoted as mixed-mode oscillation-incrementing bifurcations (MMOIBs) have frequently been observed in chemical experiments. In a previous study [K. Shimizu et al., Physica D 241, 1518 (2012)], we discovered an extremely simple dynamical circuit that exhibits MMOIBs. Our model was represented by a slow/fast Bonhoeffer-van der Pol circuit under weak periodic perturbation near a subcritical Andronov-Hopf bifurcation point. In this study, we experimentally and numerically verify that our dynamical circuit captures the essence of the underlying mechanism causing MMOIBs, and we observe MMOIBs and chaos with distinctive waveforms in real circuit experiments.
Department of Electrical, Electronics and Computer Engineering, Chiba Institute of Technology, Narashino 275-0016, Japan.
Kuniyasu
K
Shimizu
Department of Mechanical and Intelligent Engineering, Utsunomiya University, Utsunomiya 321-8585, Japan.
Munehisa
M
Sekikawa
Organization for the Strategic Coordination of Research and Intellectual Property, Meiji University, Kawasaki 214-8571, Japan.
Naohiko
N
Inaba