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Propagation failure in discrete periodic media

By Shih-Gang Liao and Chin-Chin Wu


We study the periodic lattice dynamical systems with bistable nonlinearity. We use Moser's theorem to show that there exist infinitely many stationary solutions when one of the migration coefficients is sufficiently small. Moreover, we prove that the propagation failure occurs when both migration coefficients are sufficiently small

Topics: lattice dynamical system, bistable, travelling wave, propagation failure
Year: 2014
DOI identifier: 10.1080/10236198.2012.739169
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