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| BIFURCATION OF PERIODIC ORBITS OF A THREE-DIMENSIONAL SYSTEM |
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Citation： |
LIU Xuanliang,HAN Maoan.BIFURCATION OF PERIODIC ORBITS OF A THREE-DIMENSIONAL SYSTEM[J].Chinese Annals of Mathematics B,2005,26(2):253~274 |
| Page view： 1184
Net amount： 931 |
Authors： |
LIU Xuanliang; HAN Maoan |
Foundation： |
Project supported by the Ministry of Education of China (No.20010248019, No.20020248010) and the
National Natural Science Foundation of China (No.10371072). |
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| Abstract： |
Consider a three-dimensional system having an invariant surface. By using bifurcation
techniques and analyzing the solutions of bifurcation equations, the authors study
the spacial bifurcation phenomena of a k multiple closed orbit in the invariant surface.
The sufficient conditions of the existence of many closed orbits bifurcate from the k
multiple closed orbit are obtained. |
Keywords： |
Bifurcation, Invariant surface, Three-dimensional system, Closed orbit |
Classification： |
34C23, 37G15 |
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