Spontaneous traveling waves in oscillatory systems with cross diffusion.

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Spontaneous traveling waves in oscillatory systems with cross diffusion.

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dc.contributor.author Biktashev, V. N. en_US
dc.contributor.author Tsyganov, M. A. en_US
dc.date.accessioned 2012-09-28T18:20:37Z en_US
dc.date.accessioned 2013-03-20T12:24:34Z
dc.date.issued 2009 en_US
dc.description.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. en_US
dc.identifier.citation Vol. 80 (5), article 056111 en_US
dc.identifier.doi 10.1103/PhysRevE.80.056111 en_US
dc.identifier.uri http://hdl.handle.net/10036/3810 en_US
dc.language.iso eng en_US
dc.publisher American Physical Society en_US
dc.relation.url http://link.aps.org/doi/10.1103/PhysRevE.80.056111 en_US
dc.relation.url http://dx.doi.org/10.1103/PhysRevE.80.056111 en_US
dc.subject Algorithms en_US
dc.subject Animals en_US
dc.subject Biophysics en_US
dc.subject Diffusion en_US
dc.subject Kinetics en_US
dc.subject Models, Statistical en_US
dc.subject Models, Theoretical en_US
dc.subject Oscillometry en_US
dc.subject Predatory Behavior en_US
dc.title Spontaneous traveling waves in oscillatory systems with cross diffusion. en_US
dc.date.available 2012-09-28T18:20:37Z en_US
dc.date.available 2013-03-20T12:24:34Z
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.depositing-owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.contacts.owner-email Biktashev, Vadim <V.N.Biktashev@exeter.ac.uk> en_US
exeter.place-of-publication United States en_US
dc.description Copyright © 2009 The American Physical Society en_US
dc.description Journal Article en_US
dc.identifier.journal Physical Review E - Statistical, Nonlinear and Soft Matter Physics en_US


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