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1994•Communications in Theoretical PhysicsOpen access

Symbolic Dynamics for the Sin Map

Bin Duan, Ying-Hai Wang, Hong Wang Zhao

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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 definite-word 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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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 definite-word 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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Available 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 definite-word 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.

Key concepts: Symbolic dynamics, Symbol (formal), The Symbolic, Dynamics (music), Chaotic, Word (group theory), Computer science, Symbolic data analysis

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