S ep 2 00 2 Time-frequency analysis of chaotic systems

  title={S ep 2 00 2 Time-frequency analysis of chaotic systems},
  author={Cristel Chandre and Stephen Wiggins and Turgay Uzer},
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… CONTINUE READING

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