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Annihilation of two interfaces in a hybrid system

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/59767

Title: Annihilation of two interfaces in a hybrid system
Authors: Ei, Shin-Ichiro Browse this author →KAKEN DB
Nishi, Kei Browse this author
Nishiura, Yasumasa Browse this author →KAKEN DB
Teramoto, Takashi Browse this author →KAKEN DB
Keywords: Dynamical system
reaction-diffusion
interface equation
annihilation dynamics
Issue Date: Oct-2015
Publisher: American Institute of Mathematical Sciences (AIMS)
Journal Title: Discrete and continuous dynamical systems series S
Volume: 8
Issue: 5
Start Page: 857
End Page: 869
Publisher DOI: 10.3934/dcdss.2015.8.857
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 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.
Type: article
URI: http://hdl.handle.net/2115/59767
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 栄 伸一郎

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