Art

J-GLOBAL ID：201902245289387460   Reference number：19A1167319

A numerical framework for designing periodic orbits embedded in chaotic attractors

カオス的アトラクタに埋め込まれた周期軌道を設計するための数値フレームワーク

Author (3)： Ito Hidetaka (Faculty of Engineering Science, Kansai University) ,  Hikawa Hiroomi (Faculty of Engineering Science, Kansai University) ,  Maeda Yutaka (Faculty of Engineering Science, Kansai University)
Material： Nonlinear Theory and Its Applications, IEICE (Web)  (Nonlinear Theory Its Appl IEICE (Web))
Volume： 10  Issue： 2  Page： 256-267(J-STAGE)  Publication year： 2019 
JST Material Number： U0219A  ISSN： 2185-4106  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *attractor ,  *periodic orbit ,  continuous time system ,  dynamic system ,  framework ,  conservation ,  vector field ,  numerical calculation ,  packaging(mounting) ,  limit cycle ,  function approximation
Semi thesaurus term： *Chaotic attractor ,  *unstable periodic orbit ,  continuous time system ,  dynamic system ,  Topology preservation

Author keywords (4)： chaos ,  unstable periodic orbits ,  vector field ,  numerical design

JST classification (2)： Fluctuation phenomena,random process,Brownian motion,and transport process  (BA08020B) ,  System and control theory in general  (IA02010H)

Reference (18)：

• [1] G. Chen and T. Ueta (eds.), Chaos in Circuits and Systems, World Scientific, 2002.
• [2] I. Zelinka, G. Chen, and S. Celikovsky, “Chaos synthesis by means of evolutionary algorithms,”International Journal of Bifurcation and Chaos, vol. 18, no. 4, pp. 911-942, 2008.
• [3] J.M. Muñoz-Pacheco, and E. Tlelo-Cuautle, “Automatic synthesis of 2D-n-scrolls chaotic systems by behavioral modeling,”Journal of Applied Research and Technology, vol. 7, no. 1, pp. 5-14, 2009.
• [4] E. Ott,Chaos in Dynamical Systems, 2nd ed., Cambridge University Press, 2002.
• [5] E. Ott, C. Grebogi, and J.A. Yorke, “Controlling chaos,”Physical Review Letters, vol. 64, no. 11, pp. 1196-1199, 1990.

Terms in the title (6)： カオス ,  アトラクタ ,  周期軌道 ,  設計 ,  数値 ,  フレームワーク