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Heterogeneous pacemakers in oscillatory media

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Stich,  Michael
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Mikhailov,  Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Stich, M., & Mikhailov, A. S. (2004). Heterogeneous pacemakers in oscillatory media. In G. Dangelmayer, & I. Oprea (Eds.), Dynamics and Bifurcation of Patterns in Dissipative Systems (pp. 214-2285). Singapore: World Scientific Publ. Co.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-0B03-5
Abstract
We discuss analytical and numerical results related to target patterns produced by heterogeneous pacemakers in oscillatory reaction-diffusion systems. The model consists of a complex Ginzburg-Landau equation where the oscillation frequency is space-dependent. Analytical calculations are performed in the framework of the phase dynamics approximation. We present results on stable inward and outward traveling target waves in one and two space dimensions. Furthermore, we consider large heterogeneities, positive and negative wave dispersion, localized wave sink patterns, and the case where phase slips develop.