Phase Diffusion in Localized Spatio-Temporal Amplitude Chaos

Abstract

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.

4 pages incl. 5 figures uucompressed

References in corpus (2)

• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
• Characterization of the transition from defect- to phase-turbulence

Cited by in corpus (6)

• Localization of Waves without Bistability: Worms in Nematic Electroconvection
• Chimera States in Continuous Media: Existence and Distinctness
• Ordered and Disordered Defect Chaos
• Holes and chaotic pulses of traveling waves coupled to a long-wave mode
• Double Phase Slips and Bound Defect Pairs in Parametrically Driven Waves
• Modulation of Localized States in Electroconvection