Existence of a homoclinic orbit in a generalized Liénard type system
The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard 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. Suc...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Liénard rendszer, Dinamikus rendszer |
| doi: | 10.14232/ejqtde.2021.1.34 |
| Online Access: | http://acta.bibl.u-szeged.hu/73686 |
| Tartalmi kivonat: | The object of this paper is to study the existence and nonexistence of an important orbit in a generalized Liénard 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. |
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| Terjedelem/Fizikai jellemzők: | 13 |
| ISSN: | 1417-3875 |