Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system

DOI10.1007/BF02465383zbMath1144.68386MaRDI QIDQ939848

Yu-Shu Chen, Biao Ren, Junhai Ma

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

saddle pointchaoticrepellercomplicated systemreconstruction technique

Mathematics Subject Classification ID

Model theory (03C99) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Algorithms in computer science (68W99)

Cites Work

• Threshold value for diagnosis of chaotic nature of the data obtained in nonlinear dynamic analysis
• The influence of the different distributed phase-randomized on the experimental data obtained in dynamic analysis.
• A fundamental bias in calculating dimensions from finite data sets
• Study on the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system. I
• Study on the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system. II.
• Modelling the dynamics of nonlinear time series using canonical variate analysis
• Predicting chaotic time series with wavelet networks
• Modeling chaotic motions of a string from experimental data
• The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis
• Fractal dimension of higher-dimensional chaotic repellors
• An analytic and application to state space reconstruction about chaotic time series
• Study on the prediction method of low-dimension time series that arise from the intrinsic nonlinear dynamics