Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:A3L-F
Session:
Number:A3L-F-1
MMO-Incrementing Bifurcations in Two Coupled Bonhoeffer-Van der Pol Oscillators
Hirotaka Ichikawa, Kuniyasu Shimizu, Munehisa Sekikawa, Naohiko Inaba,
pp.201-204
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
Mixed-mode oscillations (MMOs) have a distinctive waveform in the time series, and consist of large amplitude excursions and small peaks. The MMO-incrementing bifurcations (MMOIBs) trigger an MMO sequence that is followed by another type of an MMO sequence. In this study, we observe MMOIBs in two-coupled Bonhoeffer-van der Pol (BVP) oscillators connected by a resistor by changing a coupling factor. The parameter values of one of the BVP oscillators chosen near a supercritical Andronov-Hopf bifurcation (AHB) point of the isolated oscillator, whereas those of the other BVP oscillator are chosen near a subcritical AHB point.