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dc.contributor.authorBrucal-Hallare, Maila
dc.contributor.authorVan Vleck, Erik S.
dc.date.accessioned2015-03-30T21:03:24Z
dc.date.available2015-03-30T21:03:24Z
dc.date.issued2011-06-06
dc.identifier.citationBrucal-Hallare, Maila & Van Vleck, Erik. "Traveling Wavefronts in an Antidiffusion Lattice Nagumo Model." (2011) SIAM J. Appl. Dyn. Syst., 10(3), 921–959. (39 pages). http://dx.doi.org/10.1137/100819461.en_US
dc.identifier.urihttp://hdl.handle.net/1808/17244
dc.descriptionThis is the published version, also available here: http://dx.doi.org/10.1137/100819461.en_US
dc.description.abstractWe consider a system of lattice Nagumo equations with cubic nonlinearity, but with a negative discrete diffusion coefficient. We are interested in the existence, uniqueness, stability, and nonexistence of the traveling wavefront solutions of this system, and we shall call this problem the antidiffusion lattice Nagumo problem. By rewriting this system as a spatially periodic system with inhomogeneous but positive periodic diffusion coefficients and periodic nonlinearities, we uncover a rich solution behavior that includes many possible connecting orbits in the antidiffusion case. Second, we observe the presence of bistable and monostable dynamics. In the bistable region, we study the phenomenon of propagation of failure while in the monostable region, we compute the minimum wave speed.en_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.subjectantidiffusionen_US
dc.subjectspatially discreteen_US
dc.subjectreaction-diffusionen_US
dc.subjecttraveling wavesen_US
dc.subjectbistableen_US
dc.subjectmonostableen_US
dc.titleTraveling Wavefronts in an Antidiffusion Lattice Nagumo Modelen_US
dc.typeArticle
kusw.kuauthorVan Vleck, Erik
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1137/100819461
kusw.oaversionScholarly/refereed, publisher version
kusw.oapolicyThis item meets KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


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