Experimental Study of Mixed-Mode Oscillations in a Four-Segment Piecewise Linear Bonhoeffer-van der Pol Oscillator under Weak Periodic Perturbation -Successive and Nonsuccessive MMO-Incrementing Bifurcations-

Tri Quoc TRUONG  Tadashi TSUBONE  Kuniyasu SHIMIZU  Naohiko INABA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.7   pp.1522-1531
Publication Date: 2017/07/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 
mixed-mode oscillations,  mixed-mode oscillation-incrementing bifurcations,  chaos,  driven Bonhoeffer-van der Pol oscillator,  

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Summary: 
This report presents experimental measurements of mixed-mode oscillations (MMOs) generated by a weakly driven four-segment piecewise linear Bonhoeffer-van der Pol (BVP) oscillator. Such a roughly approximated simple piecewise linear circuit can generate MMOs and mixed-mode oscillation-incrementing bifurcations (MMOIBs). The laboratory experiments well agree with numerical results. We experimentally and numerically observe time series and Lorenz plots of MMOs generated by successive and nonsuccessive MMOIBs.