Chaos for Discrete Dynamical System | Zendy

Lidong Wang | Zendy; Heng Liu | Zendy; Yuelin Gao | Zendy

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Chaos for Discrete Dynamical System

Author(s) -

Lidong Wang,

Heng Liu,

Yuelin Gao

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/212036

Subject(s) - chaotic , transitive relation , sequence (biology) , mathematics , dynamical systems theory , chaos (operating system) , synchronization of chaos , sense (electronics) , dynamical system (definition) , chaotic hysteresis , pure mathematics , statistical physics , control theory (sociology) , computer science , physics , combinatorics , artificial intelligence , quantum mechanics , control (management) , computer security , biology , electrical engineering , genetics , engineering

We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in the strong sense of Li-Yorke

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