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 |
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Pages (from-to) | 857-869 |
Number of pages | 13 |
Journal | Discrete and Continuous Dynamical Systems - Series S |
Volume | 8 |
Issue number | 5 |
DOIs | |
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