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An application of the theory of monotone systems to an electrical circuit

Published online by Cambridge University Press:  12 July 2007

Luis A. Sánchez
Luis A. Sánchez
Affiliation:
Departamento de Matemática Aplicada y Estadística, Escuela Universitaria de Ingeniería Técnica Civil, Universidad Politécnica de Cartagena, 30203 Cartagena (Murcia), Spain ([email protected])
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Abstract

This paper considers the dynamics of a three-dimensional nonlinear autonomous system that models the behaviour of an electrical circuit. Results on the existence of stable periodic oscillations and the behaviour of Poincaré–Bendixon types are obtained. The work is based on a variation of classical monotone systems theory.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 3 , June 2002 , pp. 711 - 728
Copyright
Copyright © Royal Society of Edinburgh 2002

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