Quasi-periodic spiral tip trajectories in a parametrically modulated Ginzburg-Landau equation

Lee, Jysoo; Lee, Kyoung J.
February 2000
AIP Conference Proceedings;2000, Vol. 501 Issue 1, p53
Academic Journal
Spiral waves are observed in many different spatially extended systems with oscillatory, excitable or bistable nature. The interaction of spiral waves with extrinsic perturbation is an important, but not fully resolved, issue. We study the effect of parametric modulations on a simple spiral shaped domain wall that forms in a model system described by a Ginzburg-Landau equation. The local dynamics of the unperturbed system is basically bistable, and the patterns that arise in the system consist of two stable domains separated by bloch domain walls. Periodic modulations on two parameters of the equation cause the tip of a spiral meander forming a complex quasi-periodic trajectory. No evidence of frequency-locking is observed. A simple argument for the unusual shape of tip trajectories is presented. © 2000 American Institute of Physics.


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