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Abstract
The main aim of the present paper is to study the existence of limit cycles (i.e. close trajectories in the phase space having the property that at least one other trajectory spirals into them either as time approaches infinity or as time approaches negative infinity) of a class of piecewise generalized Liénard differential system modulated by a two variable polynomial and a piecewise linear function respectively.
The main tool that we use to obtain these results is the averaging theory of the dynamical systems worthy to detect the initial conditions of the birth of isolated orbits of a system.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
The first and the second author have been partially supported by Ministerio de Ciencia, Innovación y Universidades Grant Number PGC2018-097198-B-I00 and Fundación Séneca de la Región de Murcia Grant Number 20783/PI/18.