Limit cycles near a homoclinic loop by perturbing a class of integrable systems (Q2347417)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles near a homoclinic loop by perturbing a class of integrable systems |
scientific article |
Statements
Limit cycles near a homoclinic loop by perturbing a class of integrable systems (English)
0 references
27 May 2015
0 references
The authors study the problem of limit cycle bifurcations by perturbing a class of integrable systems with a homoclinic loop. This problem is solved by means of the asymptotic expansion of the Melnikov function along the level curves of the first integral inside the homoclinic loop under the assumption that the loop passes through a degenerate singular point at the origin.
0 references
integrable system
0 references
homoclinic loop
0 references
limit cycle
0 references
Melnikov function
0 references
0 references
0 references
0 references
