Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 21, Issue 5, Pages 1457-1467Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127411029148
Keywords
Topological entropy; total variation; chaos; wavelet; multiresolution analysis
Funding
- THECB [010336-0149-2009]
- Qatar National Research Fund (QNRF) [NPRP 09-462-1-074]
- National Science Council
- Ministry of Education of Republic of China
- National Natural Science Foundation of China [10771222, 11071263]
- NSF of Guangdong Province
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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.
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