Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-02-19
Phys. Rev. Lett. 86 2018-2021 (2001)
Nonlinear Sciences
Chaotic Dynamics
Extensive revision; accepted for PRL
Scientific paper
10.1103/PhysRevLett.86.2018
We study the dynamics of holes and defects in the 1D complex Ginzburg--Landau equation in ordered and chaotic cases. Ordered hole--defect dynamics occurs when an unstable hole invades a plane wave state and periodically nucleates defects from which new holes are born. The results of a detailed numerical study of these periodic states are incorporated into a simple analytic description of isolated "edge" holes. Extending this description, we obtain a minimal model for general hole--defect dynamics. We show that interactions between the holes and a self--disordered background are essential for the occurrence of spatiotemporal chaos in hole--defect states.
Hecke Martin van
Howard Martin
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