Art

J-GLOBAL ID：201802252974833576   Reference number：18A1417140

A Subspace Newton-Type Method for Approximating Transversely Repelling Chaotic Saddles

横方向斥力カオスサドルを近似するための部分空間ニュートン法

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： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Web)  (IEICE Trans Fundam Electron Commun Comput Sci (Web))
Volume： E101.A  Issue： 7  Page： 1127-1131(J-STAGE)  Publication year： 2018 
JST Material Number： U0466A  ISSN： 1745-1337  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *Newton-Raphson method ,  *space ,  *repulsive force ,  chaos ,  saddle ,  dynamics ,  design
Semi thesaurus term： *Newton method ,  algorithm design ,  dynamics ,  *subspace

Author keywords (5)： chaotic saddles ,  unstable periodic orbits ,  bifurcation ,  Newton iteration ,  subspace method

JST classification (3)： Numerical analysis,approximation method  (AB04000F) ,  Numerical computation  (JE02000J) ,  Computer utilization technology in general  (JE01000C)

Reference (14)：

• [1] D. Roose, K. Lust, A. Champneys, and A. Spence, “A Newton-Picard shooting method for computing periodic solutions of large-scale dynamical systems,” Chaos Solitons & Fractals, vol.5, no.10, pp.1913-1925, 1995. 10.1016/0960-0779(95)90873-q
• [2] H. Ito and A. Kumamoto, “Locating fold bifurcation points using subspace shooting,” IEICE Trans. Fundamentals, vol.E81-A, no.9, pp.1791-1797, Sept. 1998.
• [3] P.M. Battelino, C. Grebogi, E. Ott, J.A. Yorke, and E.D. Yorke, “Multiple coexisting attractors, basin boundaries and basic sets,” Physica D, vol.32, no.2, pp.296-305, 1988. 10.1016/0167-2789(88)90057-7
• [4] H.E. Nusse and J.A. Yorke, “A procedure for finding numerical trajectories on chaotic saddles,” Physica D, vol.36, no.1-2, pp.137-156, 1989. 10.1016/0167-2789(89)90253-4
• [5] P. Moresco and S.P. Dawson, “The PIM-simplex method: An extension of the PIM-triple method to saddles with an arbitrary number of expanding directions,” Physica D, vol.126, no.1-2, pp.38-48, 1999. 10.1016/s0167-2789(98)00234-6

Terms in the title (7)： 横方向 ,  斥力 ,  カオス ,  サドル ,  近似 ,  部分空間 ,  ニュートン法