Journal Article Annihilation of two interfaces in a hybrid system

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

8 ( 5 )  , pp.857 - 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.

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