Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Regular Section
Onset of the propagating pulse wave in a ring of coupled bistable oscillators
Kuniyasu ShimizuMotomasa KomuroTetsuro Endo
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2011 Volume 2 Issue 1 Pages 139-151

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Abstract

One of the onset mechanisms of the propagating pulse wave observed in a ring of coupled bistable oscillators is investigated. In particular, a formation mechanism of the propagating pulse wave solution and its related dynamics are discussed. For the 6-coupled oscillator case, it is verified that a global bifurcation of maps based on the heteroclinic tangle converts the fixed point corresponding to the standing pulse wave into the invariant circle corresponding to the propagating pulse wave.

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© 2011 The Institute of Electronics, Information and Communication Engineers
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