Bifurcation of Degenerate Homoclinic Orbits to Saddle-Center in Reversible Systems |
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Authors: | Xingbo LIU and Deming ZHU |
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Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, China.;Department of Mathematics, East China Normal University, Shanghai 200241, China. |
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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. |
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Keywords: | Reversible system Homoclinic orbits Saddle-center Bifurcation |
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