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

Author: Sánchez L.A.

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Volume 132, Number 3, 21 June 2002 , pp. 711-728(18)

Publisher: Royal Society of Edinburgh

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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.

Document Type: Research article

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