Pattern selection and spatiotemporal transition to chaos in the Ginzburg-Landau equation

Details Pattern selection and spatiotemporal transition to chaos in the Ginzburg-Landau equation Pattern selection and spatiotemporal transition to chaos in the Ginzburg-Landau equation

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvl..51.2171n&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 51, Dec. 12, 1983, p. 2171-2174.

Physics

83

Chaos, Landau-Ginzburg Equations, Nonstabilized Oscillation, Order-Disorder Transformations, Wave Attenuation, Wave Propagation, Plane Waves, Spatial Distribution, Temporal Distribution, Transition

Scientific paper

It is shown that a modulationally unstable pattern is selected and propagates into an initially unstable motionless state in the one-dimensional generalized Ginzburg-Landau equation. A further spatiotemporal transition occurs with a sharp interface from the selected unstable pattern to a stabilized pattern or a chaotic state. The distinct transition makes a coherent structure coexist with a chaotic state.

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