Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:A3L-A

Session:

Number:A3L-A3

MMO-Adding Phenomena in the Driven Bonhoeffer-van der Pol Oscillator

Yuto Saito,  Kuniyasu Shimizu,  Munehisa Sekikawa,  Naohiko Inaba,  Yutaka Haga,  

pp.164-167

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.A3L-A3

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Summary:
Mixed-mode oscillations(MMOs) have been a hot topic in recent years. In this paper, we report discovery of MMO-adding phenomena generated by the Bonhoeffer-van der Pol oscillator under weak periodic perturbation. Period-adding is a well-known phenomenon often caused in a MMO-sequence. MMO-adding is a phenomenon where another MMO sequence is added gradually to the base MMO sequence. MMO-adding phenomena are generated successively. As far as numerical results are concerned, these phenomena are often observed between various neighboring successive two MMOs.