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On properties of hyperchaos: Case study
Authors:Liu Zengrong  Chen Liqun  Yang Ling
Institution:(1) LNM, The Institute of Mechanics, Academia Sinica, 100080 Beijing, China;(2) Dept. of Math., Shanghai University, 201800 Shanghai, China
Abstract:Some properties of hyperchaos are exploited by studying both uncoupled and coupled CML. In addition to usual properties of chaotic strange attractors, there are other interesting properties, such as: the number of unstable periodic points embedded in the strange attractor increases dramatically increasing and a large number of low-dimensional chaotic invariant sets are contained in the strange attractor. These properties may be useful for regarding the edge of chaos as the origin of complexity of dynamical systems. The project supported by the National Natural Science Foundation of China
Keywords:hyperchaos  strange attractor  unstable periodic point  pattern formation
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