ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF A CLASS OF GENERALIZED LIÉNARD DIFFERENTIAL SYSTEMS-Reference-Cited by-同舟云学术

ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF A CLASS OF GENERALIZED LIÉNARD DIFFERENTIAL SYSTEMS

Published:2012-03 Issue:03 Volume:22 Page:1250063
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ALAVEZ-RAMÍREZ JUSTINO¹,BLÉ GAMALIEL¹,LÓPEZ-LÓPEZ JORGE¹,LLIBRE JAUME²

Affiliation:

1. División Académica de Ciencias Básicas, UJAT, Km 1 Carretera Cunduacán–Jalpa de Méndez, c.p. 86690, Cunduacán Tabasco, México

2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain

Abstract

Applying the averaging theory of first, second and third order to one class generalized polynomial Liénard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412500630

Reference28 articles.

1. The number of small-amplitude limit cycles of Liénard equations

2. Averaging methods for finding periodic orbits via Brouwer degree

3. Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces

4. Some Quadratic Systems with at most One Limit Cycle

5. Classical Liénard equations of degree n⩾6 can have [n−12]+2 limit cycles

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5. Limit cycles of generalized Liénard polynomial differential systems via averaging theory;Chaos, Solitons & Fractals;2014-05