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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