Parabolic Resonance: A Route to Hamiltonian Spatiotemporal Chaos
Journal Article
·
· Physical Review Letters
- Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Post Office Box 26, Rehovot 76100 (Israel)
We show that initial data near an unperturbed stable plane wave can evolve into a regime of spatiotemporal chaos in the slightly forced conservative periodic one-dimensional nonlinear Schroedinger equation. Statistical measures are employed to demonstrate that this spatiotemporal chaos is intermittent: there are windows in time for which the solution gains spatial coherence. The parameters and initial profiles that lead to such intermittency are predicted by utilizing a novel geometrical description of the integrable unforced equation.
- OSTI ID:
- 21180141
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 102; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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