||Annihilation of two interfaces in a hybrid system
Ei, Shin-Ichiro ,
Nishi, Kei Nishiura, Yasumasa ,
Discrete and continuous dynamical systems series S
869 , 2015-10 , American Institute of Mathematical Sciences (AIMS)
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 framework. We study the bifurcation property of the resulting hybrid system and construct an unstable standing pulse solution, which plays the role of a separator for dynamic transition from standing breather to annihilation behavior between two interfaces.