Annihilation of two interfaces in a hybrid system

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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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
Issue number5
Publication statusPublished - 2015 Oct 1


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

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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