• Instantaneous frequencies of a chaotic system

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    • Keywords


      Time-frequency analysis; wavelets; Hamiltonian systems

    • 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.

    • Author Affiliations


      C Chandré1 T Uzer2

      1. Centre de Physique Théorique, CNRS Luminy, Case 907, Marseille Cedex 9 - F-13288, France
      2. Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, Georgia - 30332-0430, USA
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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