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A bifurcation approach to non‐planar traveling waves in reaction‐diffusion systems
Author(s) -
Haragus Mariana,
Scheel Arnd
Publication year - 2007
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.200790012
Subject(s) - library science , planar , computer science , telecommunications , mathematics , art history , humanities , operations research , algorithm , art , computer graphics (images)
A striking phenomenon in the dynamics of nonlinear, spatially extended systems is the prop-agation of coherent interfaces that monitor the competition between metastable states. A prototypical example of such systems are reaction-diffusion systems, describing for instance the effect of diffusion, reaction, and convection on combustion fronts [16], or arising as phe-nomenological models in areas ranging from phase boundary motion in material science [3, 4]