Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 1997, Vol. 8 ›› Issue (4): 193

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Nonlinear feedback synchronization of hyperchaos in higher dimensional systems

Fang Jin-Qing1, Ali M K2   

  1. 1 China Institute of Atomic Energy, Beijing 102413;
    2 Department of Physics, The University of Lethbridge, Lethbridge, Alberta TIK 3M%, Canada
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Fang Jin-Qing, Ali M K. Nonlinear feedback synchronization of hyperchaos in higher dimensional systems.Nuclear Science and Techniques, 1997, 8(4): 193

Abstract: Nonlinear feedback functional method is presented to realize synchronization of hyperchaos in higher dimensional systems. New nonlinear feedback functions and superpositions of linear and nonlinear feedback functions are also introduced to synchronize hyperchaos. The robustness of the method based on the flexibility of choices of feedback functions is discussed. By coupling well-known chaotic or chaotic-hyperchaotic systems in low-dimensional systems, such as Lorenz system, Van der Pol oscillator, Duffing oscillator and Rössler system, ten dimensional hyperchaotic systems are formed as the model systems. It can be found that there is not any noticeable difference in synchronization based on the nnmbers of positive Lyapnınov exponents and of dimensions.

Key words: Hyperchaos, Syuchronization, Nonlinear feedback functions, Ten-dimension