Annihilation of two interfaces in a hybrid system

Shin Ichiro Ei; Kei Nishi; Yasumasa Nishiura; Takashi Teramoto

doi:10.3934/dcdss.2015.8.857

Annihilation of two interfaces in a hybrid system

Shin Ichiro Ei, Kei Nishi, Yasumasa Nishiura, Takashi Teramoto

Advanced Institute for Materials Research (AIMR)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We consider the mixed ODE-PDE system called a hybrid system, in which the two interfaces interact with each other through a continuous medium and their equations of motion are derived in a weak interaction frame- work. We study the bifurcation property of the resulting hybrid system and construct an unstable standing pulse solution, which plays the role of a sepa- rator for dynamic transition from standing breather to annihilation behavior between two interfaces.

Original language	English
Pages (from-to)	857-869
Number of pages	13
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	8
Issue number	5
DOIs	https://doi.org/10.3934/dcdss.2015.8.857
Publication status	Published - 2015 Oct 1

Keywords

Annihilation dynamics
Dynamical system
Interface equation
Reaction-diffusion

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdss.2015.8.857

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AU - Nishi, Kei

AU - Nishiura, Yasumasa

AU - Teramoto, Takashi

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Y1 - 2015/10/1

N2 - We consider the mixed ODE-PDE system called a hybrid system, in which the two interfaces interact with each other through a continuous medium and their equations of motion are derived in a weak interaction frame- work. We study the bifurcation property of the resulting hybrid system and construct an unstable standing pulse solution, which plays the role of a sepa- rator for dynamic transition from standing breather to annihilation behavior between two interfaces.

AB - We consider the mixed ODE-PDE system called a hybrid system, in which the two interfaces interact with each other through a continuous medium and their equations of motion are derived in a weak interaction frame- work. We study the bifurcation property of the resulting hybrid system and construct an unstable standing pulse solution, which plays the role of a sepa- rator for dynamic transition from standing breather to annihilation behavior between two interfaces.

KW - Annihilation dynamics

KW - Dynamical system

KW - Interface equation

KW - Reaction-diffusion

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SN - 1937-1632

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Annihilation of two interfaces in a hybrid system

Abstract

Keywords

ASJC Scopus subject areas

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