Annihilation of two interfaces in a hybrid system

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

Research output: Contribution to journalArticlepeer-review

2 Citations (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 languageEnglish
Pages (from-to)857-869
Number of pages13
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume8
Issue number5
DOIs
Publication statusPublished - 2015 Oct 1

Keywords

  • Annihilation dynamics
  • Dynamical system
  • Interface equation
  • Reaction-diffusion

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Annihilation of two interfaces in a hybrid system'. Together they form a unique fingerprint.

Cite this