Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions |
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摘 要: |
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收稿时间: | 25 May 2004 |
修稿时间: | 16 August 2004 |
Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions |
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Authors: | Ran Chao Wu Jian Hua Sun |
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Institution: | (1) Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China |
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Abstract: | Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied. By establishing a local
coordinate system and a Poincaré map near the homoclinic orbit, the existence and uniqueness of 1–homoclinic orbit and 1–periodic
orbit are given. Also considered is the existence of 2–homoclinic orbit and 2–periodic orbit. In additon, the corresponding
bifurcation surfaces are given.
Project supported by the National Natural Science Foundation of China (No: 10171044), the Natural Science Foundation of Jiangsu
Province (No: BK2001024), the Foundation for University Key Teachers of the Ministry of Education of China |
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Keywords: | Orbit flip Homoclinic bifurcations Poincaré map |
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