Art

J-GLOBAL ID：201902266769467979   Reference number：19A1167320

Tracking bifurcation curves in the Henon map from only time-series datasets

エノン写像における時系列データセットのみからの分岐曲線の追跡

Author (2)： Itoh Yoshitaka (Department of Electrical and Electronic Engineering, Tokyo Denki University) ,  Adachi Masaharu (Department of Electrical and Electronic Engineering, Tokyo Denki University)
Material： Nonlinear Theory and Its Applications, IEICE (Web)  (Nonlinear Theory Its Appl IEICE (Web))
Volume： 10  Issue： 2  Page： 268-278(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： *Henon map ,  *data ,  tracking ,  space ,  set ,  experiment ,  singular point ,  branching ,  diagrams and charts ,  algorithm ,  reconstitution ,  *longitudinal data ,  Dataset ,  numerical experiment ,  bifurcation diagram ,  bifurcation
Semi thesaurus term： parameter space ,  diagram

Author keywords (5)： chaotic system ,  parameterized unknown system ,  bifurcation curve ,  reconstruction of bifurcation diagram ,  extreme learning machine

JST classification (2)： Fluctuation phenomena,random process,Brownian motion,and transport process  (BA08020B) ,  Artificial intelligence  (JE08000Z)

Reference (21)：

• [1] R. Tokunaga, S. Kajiwara, and S. Matsumoto, “Reconstructing bifurcation diagrams only from time-waveforms,” Physica D, vol. 79, pp. 348-360, 1994.
• [2] R.W. Preisendorfer and C.D. Mobley, “Principal component analysis in meteorology and oceanography,” Elsevier, Amsterdam, 1988.
• [3] D.E. Rumelhart, G.E. Hinton, and R.J. Williams, “Learning representations by back-propagating errors,” Nature, vol. 323, pp. 533-536, 1986.
• [4] I. Tokuda, S. Kajiwara, R. Tokunaga, and T. Matsumoto, “Recognizing chaotic time-waveforms in terms of a parametrizzed family of nonlinear predictors,” Physica D, vol. 95, pp. 380-395, 1996.
• [5] S. Ogawa, T. Ikeguchi, T. Matozaki, and K. Aihara, “Nonlinear modeling by Radial basis function networks,” IEICE Trans. Fundamentals, vol. E79-A, no. 10, 1996.

Terms in the title (3)： エノン写像 ,  時系列データ ,  分岐