Time-frequency analysis of chaotic systems

C Chandre, SR Wiggins, T Uzer

Research output: Contribution to journalArticle (Academic Journal)peer-review

118 Citations (Scopus)

Abstract

We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also called instantaneous frequencies, enable us to analyze the phase space structures. In particular, this method detects resonance trappings and transitions and allows a characterization of the notion of weak and strong chaos. We illustrate the method with the trajectories of the standard map and the hydrogen atom in crossed magnetic and elliptically polarized microwave fields. (C) 2003 Elsevier Science B.V. All rights reserved.
Translated title of the contributionTime-frequency analysis of chaotic systems
Original languageEnglish
Pages (from-to)171 - 196
Number of pages26
JournalPhysica D: Nonlinear Phenomena
Volume181 (3-4)
DOIs
Publication statusPublished - Jul 2003

Bibliographical note

Publisher: Elsevier Science BV
Other identifier: IDS number 703UM

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