Parabolic resonance: a route to hamiltonian spatiotemporal chaos.
نویسندگان
چکیده
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 Schrödinger 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.
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ورودعنوان ژورنال:
- Physical review letters
دوره 102 3 شماره
صفحات -
تاریخ انتشار 2009