PINNING OF A KINK IN A NONLINEAR DIFFUSIVE MEDIUM WITH A GEOMETRICAL BIFURCATION: THEORY AND EXPERIMENTS
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Published:2004-01
Issue:01
Volume:14
Page:257-262
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ISSN:0218-1274
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Container-title:International Journal of Bifurcation and Chaos
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language:en
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Short-container-title:Int. J. Bifurcation Chaos
Author:
MORFU S.1,
MARQUIÉ P.1,
BILBAULT J. M.1
Affiliation:
1. Université de Bourgogne, LE2I, UMR CNRS 5158, BP 47870-21078 Dijon Cedex, France
Abstract
We study the dynamics of a kink propagating in a Nagumo chain presenting a geometrical bifurcation. In the case of weak couplings, we define analytically and numerically the coupling conditions leading to the pinning of the kink at the bifurcation site. Moreover, real experiments using a nonlinear electrical lattice confirm the theoretical and numerical predictions.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)