EXPONENTIAL ATTRACTORS FOR BELOUSOV-ZHABOTINSKII REACTION MODEL

Yagi, Atsushi; Osaki, Koichi; Sakurai, Tatsunari

アクセス数:220件（2024-04-25 15:09 集計）

固定URL: https://hdl.handle.net/11094/24743

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タイトル	EXPONENTIAL ATTRACTORS FOR BELOUSOV-ZHABOTINSKII REACTION MODEL
著者	NRID 1000070116119 1000070116119 著者名 Yagi, Atsushi
	NRID 1000040353320 1000040353320 著者名 Osaki, Koichi
	NRID 1000060353322 1000060353322 著者名 Sakurai, Tatsunari
キーワード等	lousov-Zhabotinskii reaction
	Reaction-diffusion model
	Exponential attractors
内容	Supplement 2009
抄録	This paper is concerned with the Belousov-Zhabotinskii reaction model. We consider the reaction-diffusion model due to Keener-Tyson. After constructing a dynamical system, we will construct exponential attractors and will estimate the attractor dimension from below. In particular, it will be shown that, as the excitability ε> 0 tends to zero, the attractor dimension tends to infinity, although the exponential attractor can depend on the excitability continuously.
出版者	American Institute of Mathematical Science
収録物名	Discrete and Continuous Dynamical Systems - Series A
ページ	846-856
刊行年月	2009-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24743
PISSN	10780947
NCID	AA11026216
関連情報 (references)	URI http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=4700
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Discrete and Continuous Dynamical Systems - Series A. 2009, p. 846-856
DC.title	EXPONENTIAL ATTRACTORS FOR BELOUSOV-ZHABOTINSKII REACTION MODEL
DC.creator	Yagi, Atsushi
	Osaki, Koichi
	Sakurai, Tatsunari
DC.publisher	American Institute of Mathematical Science
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2009-09
DC.relation' scheme='DCTERMS.URI	http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=4700
DC.subject	lousov-Zhabotinskii reaction
	Reaction-diffusion model
	Exponential attractors
DC.description	Supplement 2009
DCTERMS.abstract	This paper is concerned with the Belousov-Zhabotinskii reaction model. We consider the reaction-diffusion model due to Keener-Tyson. After constructing a dynamical system, we will construct exponential attractors and will estimate the attractor dimension from below. In particular, it will be shown that, as the excitability ε> 0 tends to zero, the attractor dimension tends to infinity, although the exponential attractor can depend on the excitability continuously.
DC.format	application/pdf
citation_title	EXPONENTIAL ATTRACTORS FOR BELOUSOV-ZHABOTINSKII REACTION MODEL
citation_author	Yagi, Atsushi
	Osaki, Koichi
	Sakurai, Tatsunari
citation_publisher	American Institute of Mathematical Science
citation_language	英語
citation_date	2009-09
citation_journal_title	Discrete and Continuous Dynamical Systems - Series A
citation_firstpage	846
citation_lastpage	856
citation_public_url	https://hdl.handle.net/11094/24743
citation_abstract_html_url	http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=4700

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