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VOL. 64 | 2015 Behaviors of a front-back pulse arising in a bistable medium with jump-type heterogeneity
Kei Nishi, Yasumasa Nishiura, Takashi Teramoto

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

We consider the dynamics of an oscillatory pulse (standing breather, SB) of front-back type, in which the motion of two interfaces that interact through a continuous field is described by a mixed ODE-PDE system. We carry out a center manifold reduction around the Hopf singularity of a stationary pulse solution, which provides us insight into the underlying mechanism for a sliding motion of SB in a jump-type spatial heterogeneous medium.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1336.35198
MathSciNet: MR3381315

Digital Object Identifier: 10.2969/aspm/06410479

Subjects:
Primary: 35M11, 37L10

Rights: Copyright © 2015 Mathematical Society of Japan

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