Spontaneous traveling waves in oscillatory systems with cross diffusion.

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Spontaneous traveling waves in oscillatory systems with cross diffusion.

Please use this identifier to cite or link to this item: http://hdl.handle.net/10036/3810


Title: Spontaneous traveling waves in oscillatory systems with cross diffusion.
Author: Biktashev, V. N.
Tsyganov, M. A.
Citation: Vol. 80 (5), article 056111
Publisher: American Physical Society
Journal: Physical Review E - Statistical, Nonlinear and Soft Matter Physics
Date Issued: 2009
URI: http://hdl.handle.net/10036/3810
DOI: 10.1103/PhysRevE.80.056111
Links: http://link.aps.org/doi/10.1103/PhysRevE.80.056111 http://dx.doi.org/10.1103/PhysRevE.80.056111
Abstract: We identify a type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently large domain, spatially uniform oscillations in such systems are unstable with respect to small perturbations. This instability, through a transient regime appearing as spontaneous focal sources, leads to establishment of periodic traveling waves. The traveling wave regime is established even if boundary conditions do not favor such solutions. The stable wavelength is within a range bounded both from above and from below, and this range does not coincide with instability bands of the spatially uniform oscillations.
Description: Copyright © 2009 The American Physical SocietyJournal Article
Keywords: AlgorithmsAnimalsBiophysicsDiffusionKineticsModels, StatisticalModels, TheoreticalOscillometryPredatory Behavior

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