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April  2000, 6(2): 275-292. doi: 10.3934/dcds.2000.6.275

Symbolic dynamics in nondifferentiable system originating in R-L-Diode driven circuit

Safya Belghith 1,

1. 

Department of Electrical Engineering, Ecole Nationale d'Ingenieurs Tunis, Tunis II University, BP 37, 1002 Tunis Belvedere, Tunisia

Received  September 1998 Revised  October 1999 Published  January 2000

In this paper, we will study a simple, piecewise linear model which mimics the transformation in a chaotic electrical circuit: R-L-Diode driven by a sinusoïdal voltage source. This map leads to a complicated chaotic structure, with infinitly many distinct, prime homoclinic points. We prove here that there are infinitly many distinct homoclinic points. Their dynamical classification is not completely understood. They are derived through a nonlinear ($-+$) map, built with piecewise linear pieces. To different two sequences, should correspond two distinct prime homoclinic points. We have derived, we believe, the basic phenomena leading to the complicated dynamics.
Keywords: Homoclinic points, R-L-Diode driven circuit., Chaos, Symbolic dynamics, Electrical circuits.
Mathematics Subject Classification: 94C05, 58F1.
Citation: Safya Belghith. Symbolic dynamics in nondifferentiable system originating in R-L-Diode driven circuit. Discrete & Continuous Dynamical Systems, 2000, 6 (2) : 275-292. doi: 10.3934/dcds.2000.6.275
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