Parameter Estimation of a Class One-Dimensional Discrete Chaotic System | Zendy

Lidong Liu | Zendy; Jinfeng Hu | Zendy; Huiyong Li | Zendy; Jun Li | Zendy; Zishu He | Zendy; Chunlin Han | Zendy

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Parameter Estimation of a Class One-Dimensional Discrete Chaotic System

Author(s) -

Lidong Liu,

Jinfeng Hu,

Huiyong Li,

Jun Li,

Zishu He,

Chunlin Han

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/696017

Subject(s) - chaotic , synchronization (alternating current) , chebyshev filter , computer science , chaos (operating system) , ergodic theory , estimation theory , control theory (sociology) , chaotic systems , value (mathematics) , synchronization of chaos , mathematics , algorithm , statistics , control (management) , mathematical analysis , artificial intelligence , computer security , computer network , channel (broadcasting) , computer vision

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method (MVM). It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exact than MVM. Finally, numerical simulations on Chebyshev map and Tent map show that the proposed method has better performance of parameter estimation than MVM

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