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Type: Artigo de periódico
Title: Limit cycles of the generalized polynomial Lienard differential equations
Author: Llibre, J
Mereu, AC
Teixeira, MA
Abstract: We apply the averaging theory of first, second and third order to the class of generalized polynomial Lienard differential equations. Our main result shows that for any n, m >= 1 there are differential equations of the form x + f(x)(x) Over dot + g(x) = 0, with f and g polynomials of degree n and m respectively, having at least [(n+m-1)/2] limit cycles, where [] denotes the integer part function.
Country: EUA
Editor: Cambridge Univ Press
Citation: Mathematical Proceedings Of The Cambridge Philosophical Society. Cambridge Univ Press, v. 148, n. 363, n. 383, 2010.
Rights: embargo
Identifier DOI: 10.1017/S0305004109990193
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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