Behaviors of solutions to network diffusion equation with power-nonlinearity

Material type: 文書・図像類

Author: Zhang, Xiaoyanほか

Publisher: EDP Sciences

Publication date: 2020-03-12

Material Format: Digital

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Note (General)：: We study a certain class of network diffusion equation with large power-nonlinearity. We first report several interesting behaviors like synchronizati...

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Material Type: 文書・図像類
Title: Behaviors of solutions to network diffusion equation with power-nonlinearity
Author/Editor: Zhang, Xiaoyan
Senyo, Taiga
Sakai, Hiroto
Ohara, Atsumi
Author Heading: Zhang, Xiaoyan
Senyo, Taiga
Sakai, Hiroto
Ohara, Atsumi
Publication, Distribution, etc.: EDP Sciences
Publication Date: 2020-03-12
Publication Date (W3CDTF): 2020-03-12
Alternative Title: Behaviors of solutions to network diffusion equation with power-nonlinearity
Behaviors of solutions to network diffusion equation with power-nonlinearity : A role of the q-exponential function for suffciently large power-exponent
Periodical title: The European Physical Journal Special Topics
No. or year of volume/issue: 229 5
Volume: 229
Issue: 5
Pages: 729-741
ISSN (Periodical Title): ISSN : 1951-6355
Text Language Code: eng
Target Audience: 一般
Note (General): We study a certain class of network diffusion equation with large power-nonlinearity. We first report several interesting behaviors like synchronization and mode-switching, and next analytically clarify their mechanism. Throughout the investigation we demonstrate that the q-exponential function plays an important role and that the nonlinear behaviors are critically concerned with network topology.
Access Restrictions: 限定公開
Related Material (DOI): 10.1140/epjst/e2020-900202-5
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 福井大学 : 福井大学学術機関リポジトリ