Stable stationary and breathing holes at the onset of a weakly inverted instability

Orazio Descalzi, Helmut R. Brand

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We show numerically different stable localized structures including stationary holes, moving holes, breathing holes, stationary and moving pulses in the one-dimensional subcritical complex Ginzburg-Landau equation with periodic boundary conditions, and using two classes of initial conditions. The coexistence between different types of stable solutions is summarized in a phase diagram. Stable breathing moving holes as well as breathing nonmoving holes have not been described before for dissipative pattern-forming systems including reaction-diffusion systems.
Original languageAmerican English
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number5
DOIs
StatePublished - 1 Nov 2005

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