On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry

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Title:	On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
Author:	Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique
Abstract:	Agraïments: E. Ponce is partially supported by MICINN/FEDER grant number MTM2009-07849 and Junta de Andalucía grant number P08-FQM-03770
Abstract:	Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are extended to continuous piecewise-linear differential systems. New results are obtained for systems with three linearity zones without symmetry and having one equilibrium point in the central region. We also revisit the case of systems with only two linear zones giving shorter proofs of known results.
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/150623