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

doi:10.1587/transfun.E100.A.1522

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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

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Keywords: mixed-mode oscillations, mixed-mode oscillation-incrementing bifurcations, chaos, driven Bonhoeffer-van der Pol oscillator

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2017 Volume E100.A Issue 7 Pages 1522-1531

DOI https://doi.org/10.1587/transfun.E100.A.1522

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Abstract

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.

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