Maximum number of limit cycles for generalized Kukles differential system
Author:
Affiliation:
1. Department of Mathematics , Laboratory LMA , University of Annaba , P. O. Box 12 , Annaba 23000 , Algeria
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
Link
https://www.degruyter.com/document/doi/10.1515/jaa-2021-2070/pdf
Reference22 articles.
1. S. Badi, E. Bendib and A. Makhlouf, On the maximum number of limit cycles for a generalization of polynomial Liénard differential systems via averaging theory, J. Pure Appl. Algebra 12 (2016), no. 4, 2971–2985.
2. A. Boulfoul, A. Makhlouf and N. Mellahi, On the limit cycles for a class of generalized Kukles differential systems, J. Appl. Anal. Comput. 9 (2019), no. 3, 864–883.
3. A. Buică and J. Llibre, Averaging methods for finding periodic orbits via Brouwer degree, Bull. Sci. Math. 128 (2004), no. 1, 7–22.
4. Y. Cao and C. Liu, The estimate of the amplitude of limit cycles of symmetric Liénard systems, J. Differential Equations 262 (2017), no. 3, 2025–2038.
5. J. Chavarriga, E. Sáez, I. Szántó and M. Grau, Coexistence of limit cycles and invariant algebraic curves for a Kukles system, Nonlinear Anal. 59 (2004), no. 5, 673–693.
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