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THE SPECTRUM OF CHAOTIC TIME SERIES (II): WAVELET ANALYSIS

GOONG CHEN

Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA

Science Program, Texas A&M University at Qatar Doha, Qatar

Work was completed while visiting Center for Theoretical Sciences, National Tsing Hua University, Hsinchu, Taiwan.

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SZE-BI HSU

Department of Mathematics, National Tsing Hua University, No. 101, Sec. 2, Guangfu Rd., Hsinchu, Taiwan 300, R.O.C.

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YU HUANG

Department of Mathematics, Sun Yat-sen (Zhongshan) University, No. 135 Xingang Road West, Guangzhou 510275, P. R. China

Work was completed while visiting Center for Theoretical Sciences, National Tsing Hua University, Hsinchu, Taiwan.

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, and

MARCO A. ROQUE-SOL

Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA

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https://doi.org/10.1142/S0218127411029148Cited by:6 (Source: Crossref)

Abstract

This paper is a continuation of Part I where the authors treated the Fourier analysis of chaotic time series generated by a chaotic interval map. Here, we perform multiresolution analysis by using wavelet coefficients and characterize some necessary and sufficient conditions for the occurrence of chaos by the exponential growth with respect to the number of iterations n of certain sums of the wavelet coefficients.

Keywords:

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