On the uniqueness of limit cycles in discontinuous Liénard-type systems

Autor: Fangfang Jiang, Jitao Sun
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 71, Pp 1-12 (2015)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2014.1.71
Popis: In this paper, we investigate the uniqueness and stability of limit cycles for a nonlinear Liénard-type differential system with a discontinuity line. By employing a transformation technique and considering the characteristic exponent of periodic orbit, we give several criteria for the discontinuous planar nonlinear Liénard-type system. An example with different nonlinear functions $H(y)$ is presented to illustrate the obtained results.
Databáze: Directory of Open Access Journals