Annihilation of two interfaces in a hybrid system

Ei, Shin-Ichiro; Nishi, Kei; Nishiura, Yasumasa et al.

Discrete and continuous dynamical systems series S, 2015, 8(5), 857-869

Permalink : https://hdl.handle.net/2115/59767

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アクセス権	open access
URI	https://hdl.handle.net/2115/59767
タイトル	Annihilation of two interfaces in a hybrid system
著者	Ei, Shin-Ichiro ; Nishi, Kei ; Nishiura, Yasumasa ; Teramoto, Takashi
e-Rad_Researcher 30201362 著者名 Ei, Shin-Ichiro
著者名 Nishi, Kei
e-Rad_Researcher 00131277 著者名 Nishiura, Yasumasa
e-Rad_Researcher 40382543 著者名 Teramoto, Takashi
言語	英語
キーワード	Dynamical system
	reaction-diffusion
	interface equation
	annihilation dynamics
発行日	2015-10
出版者	American Institute of Mathematical Sciences (AIMS)
収録物名	Discrete and continuous dynamical systems series S
巻(号)	8(5)
ページ	857-869
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
PISSN	1937-1632
EISSN	1937-1179
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.3934/dcdss.2015.8.857