| Autor: |
SOLEIMANI, L., RABIEIMOTLAGH, O. |
| Předmět: |
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| Zdroj: |
Journal of Mahani Mathematical Research Center; 2024, Vol. 13 Issue 1, p1-11, 11p |
| Abstrakt: |
We consider a planar symmetric vector field that undergoes a homoclinic bifurcation. In order to study the existence of exterior periodic solutions of the vector field around broken symmetric homoclinic orbits, we investigate the existence of fixed points of the exterior Poincaré map around these orbits. This Poincaré map is the result of the combination of flows inside and outside the homoclinic orbits. It shows how a big periodic orbit converts to two small periodic orbits by passing through a double homoclinic structure. Finally, we use the results to investigate the existence of periodic solutions of the perturbed Duffing equation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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