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Updated: Apr 16, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
Experimental study of complex mixed-mode oscillations generated in a Bonhoeffer-van der Pol oscillator under weak
Kuniyasu Shimizu1, Munehisa Sekikawa2, Naohiko Inaba3
1Department of Electrical, Electronics and Computer Engineering, Chiba Institute of Technology, Narashino 275-0016, Japan.
Abstract:
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.
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