Publicação: Soliton parameters and chaotic sets
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2009-01-30
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Pergamon-Elsevier B.V. Ltd
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In this work we apply a nonperturbative approach to analyze soliton bifurcation ill the presence of surface tension, which is a reformulation of standard methods based on the reversibility properties of the system. The hypothesis is non-restrictive and the results can be extended to a much wider variety of systems. The usual idea of tracking intersections of unstable manifolds with some invariant set is again used, but reversibility plays an important role establishing in a geometrical point of view some kind of symmetry which, in a classical way, is unknown or nonexistent. Using a computer program we determine soliton solutions and also their bifurcations ill the space of parameters giving a picture of the chaotic structural distribution to phase and amplitude shift phenomena. (C) 2009 Published by Elsevier Ltd.
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Chaos Solitons & Fractals. Oxford: Pergamon-Elsevier B.V. Ltd, v. 39, n. 2, p. 547-555, 2009.
