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| Bifurcation of Degenerate Homoclinic Orbits to Saddle-Center in Reversible Systems |
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Citation： |
Xingbo LIU,Deming ZHU.Bifurcation of Degenerate Homoclinic Orbits to Saddle-Center in Reversible Systems[J].Chinese Annals of Mathematics B,2008,29(6):575~584 |
| Page view： 1099
Net amount： 832 |
Authors： |
Xingbo LIU; Deming ZHU |
Foundation： |
the National Natural Science Foundation of China (No. 10671069) and the Shanghai Leading Academic Discipline Project (No. B407). |
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| Abstract： |
The authors study the bifurcation of homoclinic orbits from a degenerate homoclinic
orbit in reversible system. The unperturbed system is assumed to have saddlecenter type equilibrium whose stable and unstable manifolds intersect in two-dimensional manifolds. A perturbation technique for the detection of symmetric and nonsymmetric homoclinic orbits near the primary homoclinic orbits is developed. Some known results are extended. |
Keywords： |
Reversible system, Homoclinic orbits, Saddle-center, Bifurcation |
Classification： |
34C23, 34C37, 37C29 |
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