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Book Chapter

Localized turbulence and cellular structures in systems with global coupling

MPS-Authors
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Battogtokh,  D.
Fritz Haber Institute, Max Planck Society;

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Preusser,  Albrecht
Theory, 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

Battogtokh, D., Preusser, A., & Mikhailov, A. S. (1996). Localized turbulence and cellular structures in systems with global coupling. In J. Parisi, S. C. Müller, & W. Zimmermann (Eds.), Nonlinear Physics of Complex Systems (1, pp. 149-165). Berlin, Heidelberg: Springer.


Cite as: https://hdl.handle.net/21.11116/0000-0009-ACAA-6
Abstract
The effects of global coupling in oscillatory reaction-diffusion systems near the Hopf bifurcation are investigated. Global coupling, typical for the catalytic surface chemical reactions, significantly influences the properties of pattern formation. New kinds of patterns, such as cellular structures formed by standing waves and self-confined local turbulence, are found.