Existence of homoclinic orbit in generalized Liénard type system
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 34,p. 1-13
- https://doi.org/10.14232/ejqtde.2021.1.34
Abstract
The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Lienard type system. This trajectory is doubly asymptotic to an equilibrium solution, i.e., an orbit which lies in the intersection of the stable and unstable manifolds of a critical point. Such an orbit is called a homoclinic orbit.Keywords
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