Phase Diffusion in Localized Spatio-Temporal Amplitude Chaos

Details Phase Diffusion in Localized Spatio-Temporal Amplitude Chaos Phase Diffusion in Localized Spatio-Temporal Amplitude Chaos

1996-04-04

arxiv.org/abs/chao-dyn/9603020v1

Nonlinear Sciences

Chaotic Dynamics

4 pages incl. 5 figures uucompressed

Scientific paper

10.1103/PhysRevLett.77.2451

We present numerical simulations of coupled Ginzburg-Landau equations describing parametrically excited waves which reveal persistent dynamics due to the occurrence of phase slips in sequential pairs, with the second phase slip quickly following and negating the first. Of particular interest are solutions where these double phase slips occur irregularly in space and time within a spatially localized region. An effective phase diffusion equation utilizing the long term phase conservation of the solution explains the localization of this new form of amplitude chaos.

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