Instantaneous frequencies of a chaotic system

Abstract : The structure and geometry of high-dimensional, complex dynamical systems is usually hidden under a profusion of numerical data. We show that time-frequency analysis allows one to analyze these data regardless of the number of degrees of freedom. Our method takes snapshots of the system in terms of its instantaneous frequencies defined as ridges of the time-frequency landscape. Using the wavelet transform of a single trajectory, it can characterize key dynamical properties like the extent of chaos, resonance transitions and trappings
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Contributor : Cristel Chandre <>
Submitted on : Thursday, March 31, 2005 - 11:53:31 AM
Last modification on : Thursday, March 22, 2018 - 6:24:02 PM
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  • HAL Id : hal-00004608, version 1


Cristel Chandre, Turgay Uzer. Instantaneous frequencies of a chaotic system. Pramana - Journal of Physics, Indian Academy of Sciences/Springer, 2005, 64, pp.371. ⟨hal-00004608⟩



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