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Phase space analysis of chaotic spectra in a conservative Hamiltonian system

Autocorrelation functions for a chaotic coupled quartic oscillator system are found to have typical recurrence times. Phase space decomposition of the associated spectrum at the peak frequency shows that the peak comes from well defined localized regions bounded by the stable and unstable manifolds...

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Bibliographic Details
Published in:Chemical physics letters 1990-11, Vol.174 (3-4), p.325-332
Main Authors: Eckhardt, Bruno, Gomez Llorente, Jose M., Pollak, Oli
Format: Article
Language:English
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Summary:Autocorrelation functions for a chaotic coupled quartic oscillator system are found to have typical recurrence times. Phase space decomposition of the associated spectrum at the peak frequency shows that the peak comes from well defined localized regions bounded by the stable and unstable manifolds of a class of periodic orbits. This localization may be thought as a classical analog of quantum scars.
ISSN:0009-2614
1873-4448
DOI:10.1016/0009-2614(90)85354-F