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Drifting pattern domains in a reaction-diffusion system with nonlocal coupling

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Nicola,  E. M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Or-Guil,  M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Bär,  M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Nicola, E. M., Or-Guil, M., Wolf, W., & Bär, M. (2002). Drifting pattern domains in a reaction-diffusion system with nonlocal coupling. Physical Review E, 65(5): 055101. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000065000005055101000001&idtype=cvips&gifs=yes&j.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-37A4-0
Abstract
Drifting pattern domains (DPDs), i.e., moving localized patches of traveling waves embedded in a stationary (Turing) pattern background and. vice versa, are observed in simulations of a reaction-diffusion model with nonlocal coupling. Within this model, a region of bistability between Turing patterns and traveling waves arises from a codimension-2 Turing-wave bifurcation (TWB). DPDs are found within that region in a substantial distance from the TWB. We investigated the dynamics of single interfaces between Turing and wave patterns. It is found that DPDs exist due to a locking of the interface velocities, which is imposed by the absence of space-time defects near these interfaces.