Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)

Date:	2015
Abstract:	We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations x = y + sgn(gm (x, y))F (x), y = −x, where the zero set of the function sgn(gm (x, y)) with m = 2, 4, 6, . . . is the product of m/2 straight lines passing through the origin of coordinates dividing the plane in sectors of angle 2π/m, and sgn(z) denotes the sign function.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-0410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Liénard equation ; Limit cycles ; Piecewise differential equation
Published in:	ZAMP. Journal of Applied Mathematics and Physics, Vol. 66 Núm. 1 (2015) , p. 51-66, ISSN 1420-9039

DOI: 10.1007/s00033-013-0393-2

Postprint 18 p, 797.8 KB

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