Limit cycles bifurcations of a Liénard system with a hyperelliptic Hamiltonian of degree five
We deal with limit cycles bifurcating from the period annulus of Liénard system with a hyperelliptic Hamiltonian of degree five under quartic perturbation, where Liénard system has a normal form x˙ = y, y˙ = x(x − 1)(x 2 + ax + b), a 2 − 4b < 0. It is proved that the perturbation of this system c...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Liénard-rendszer, Poincaré-bifurkáció, Differenciálegyenlet - nemlineáris - ordinárius |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.62 |
| Online Access: | http://acta.bibl.u-szeged.hu/88864 |
| Tartalmi kivonat: | We deal with limit cycles bifurcating from the period annulus of Liénard system with a hyperelliptic Hamiltonian of degree five under quartic perturbation, where Liénard system has a normal form x˙ = y, y˙ = x(x − 1)(x 2 + ax + b), a 2 − 4b < 0. It is proved that the perturbation of this system can produce at most six limit cycles for a = b = 2. |
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| Terjedelem/Fizikai jellemzők: | 15 |
| ISSN: | 1417-3875 |