Effect of slow manifold structure on relaxation oscillations and one-dimensional map in a model for plastic instability

Rajesh, S and Ananthakrishna, G (1999) Effect of slow manifold structure on relaxation oscillations and one-dimensional map in a model for plastic instability. In: Physica A, 270 (1-2). pp. 182-189.

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Abstract

Relaxation oscillations or stick-slip dynamics exhibited by a model, originally proposed for a form of plastic instability namely, Portevin Le-Chatelier effect, has been analysed. The model exhibits atypical slow manifold which has a bent structure. It is this geometry that gives rise to a new mechanism of relaxation oscillations. A partial representation of the slow manifold in the form of the next maximal amplitude (NMA) maps has also been analysed. Minimal information of principal periodic orbit embedded in four dimensions and the slow manifold structure is shown to be sufficient to reproduce the qualitative features of the NMA maps

Item Type:	Journal Article
Publication:	Physica A
Publisher:	Elsevier
Additional Information:	Copyright of this article belongs to Elsevier.
Keywords:	Nonlinear dynamical system;Stick-slip;Relaxation oscillations;Slow manifold;Poincare maps
Department/Centre:	Division of Chemical Sciences > Materials Research Centre
Date Deposited:	26 Mar 2007
Last Modified:	19 Sep 2010 04:36
URI:	http://eprints.iisc.ac.in/id/eprint/10253

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