Saturday, 8 January 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of APPLIED MATHEMATICS AND INFORMATICS
Transactions ID Number: 20-241
Full Name: Sen Pei
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: Room 115,19#dormitory,No.37 Xueyuan Road, Beihang University,Haidian District,Beijing,PR China,100191.
Country: CHINA
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E-mail address: peisen1988@126.com
Other E-mails: peisenbuaa@gmail.com
Title of the Paper: analysis of complexity of one-dimensional chaotic maps with entropy characteristic
Authors as they appear in the Paper: Sen Pei,Zhiming Zheng
Email addresses of all the authors: peisen1988@126.com
Number of paper pages: 8
Abstract: Chaotic phenomena are widespread in a variety of research fields. In this paper, we investigate the complexity of one-dimensional chaotic maps with entropy characteristic. First we analyze the dynamics of one-dimensional chaotic maps. Then we analogize the iteration of maps to a one-sided shift transformation, and give a probability explanation of Lyapunov exponent by Ergodic Theory. We use the entropy of corresponding shift to reflect the complexity of these maps, providing a new way to characterize complexity of chaotic systems.
Keywords: Chaos, Complexity, Entropy, Ergodicity, Lyapunov Exponent.
EXTENSION of the file: .doc
Special (Invited) Session: the dynamics of a class of one-dimensional chaotic maps
Organizer of the Session: 657-293
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