Symbolic Dynamics for the Sin Map |
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Authors: | Bin DUAN Ying-Hai WANG Hong ZHAO |
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Institution: | Department of Physics, Lanzhou University, Lanzhou 730000, China |
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Abstract: | By investigating the sin map, the symbolic dynamics on the two-dimensional map was generalized. We constructed the infinite-word symbolic dynamics, and reduced it to the definiteword symbolic dynamics composed of a suitable number of the words. In the examples of the symbol analysis, all the permitted periodic objects up to period four were identified, and some chaotic trajectors were derived. |
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