Velocity selection in coupled-map lattices

Parekh, Nita ; Puri, Sanjay (1993) Velocity selection in coupled-map lattices Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 47 (2). pp. 1415-1418. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v47/i2/p1415_1

Related URL: http://dx.doi.org/10.1103/PhysRevE.47.1415

Abstract

We investigate the phenomenon of velocity selection for traveling wave fronts in a class of coupled-map lattices, derived by discretizations of the Fisher equation [Ann. Eugenics 7, 355 (1937)]. We find that the velocity selection can be understood in terms of a discrete analog of the marginal-stability hypothesis. A perturbative approach also enables us to estimate the selected velocity accurately for small values of the discretization mesh sizes.

Item Type:Article
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