Mathematical analysis of the wavelet method of chaos control

Shih Feng Shieh, Yiqian Wang, Guowei Wei, Choy Heng Lai

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, we provide mathematical analysis for the controllability of chaos in wavelet subspaces. We prove that depending on the scale of the wavelet operation and the number of the coupled oscillators, the critical coupling strength for the occurrence of chaos synchronization becomes many times smaller if the original coupling matrix is appropriately treated with the wavelet transform. Moreover, we obtain rigorous relations connecting the critical values and the wavelet subspace operations. Our mathematical results are completely consistent with early numerical simulations.

Original languageEnglish
Article number082701
JournalJournal of Mathematical Physics
Volume47
Issue number8
DOIs
Publication statusPublished - 2006 Sep 11

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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