Chaotic Behaviour of the General Symbolic Dynamics

Fu Xin-chu; Chou Huan-wen

Volume 13 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(2): 103-109

Fu Xin-chu, Chou Huan-wen. Chaotic Behaviour of the General Symbolic Dynamics[J]. Applied Mathematics and Mechanics, 1992, 13(2): 103-109.

Citation:

Fu Xin-chu, Chou Huan-wen. Chaotic Behaviour of the General Symbolic Dynamics[J]. Applied Mathematics and Mechanics, 1992, 13(2): 103-109.

Citation:

Fu Xin-chu, Chou Huan-wen. Chaotic Behaviour of the General Symbolic Dynamics[J]. Applied Mathematics and Mechanics, 1992, 13(2): 103-109.

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Chaotic Behaviour of the General Symbolic Dynamics

Fu Xin-chu¹,
Chou Huan-wen²

1.
Wuhan Institute of Mathematical Sciences, Wuhan;
2.
Wuhan University, Wuhan

Received Date: 1990-12-15
Publish Date: 1992-02-15

Abstract

Abstract

This paper extends symbolic dynamics to general cases, Some chaotic properties and applications of the general symbolic dynamics(∑(X), σ) and its special cases are discussed, where X is a separable metric space.
- symbolic dynamics,
- chaos,
- shift-invariant set

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References(10)

References

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[2]	傅新楚,非紧致符号空间上移位映射的Li-Yorke浑沌性态,非线性动力学研讨会交流论文,中国科技大学(1990).
[3]	傅新楚,自映射的无穷阶移位不变集,同上,并刊于《青年论文荟萃—常微分方程专辑》,科学出版社(1991).
[4]	Wiggins,S,,Global Bifurcations and Chaos:Analytical Methods,Springer Verlag(1988).
[5]	张筑生,《微分动力系统原理》,科学出版社(1987).
[6]	郭友中、周焕文、分叉、怪引子、阵发性与浑沌,力学进展,14(3)(1984),255-274.
[7]	Li,T,Y.and J.A,Yorke. Period three implies chaos,Amer. Math.Monthly,82(1975),985-992.
[8]	周作领.转移自映射的紊动性状,数学学报.30(2)(1979),284-288.
[9]	周作领,紊动与全紊动.科学通报,(4)(1987),248-250.
[10]	Zhou,Z.L.(周作领).The topological Markov chain,Acta Math,Sinica(New Series),4(4)(1988),330-337.

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