Bifurcations of Periodic Orbits for a Four-Dimensional System |
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| Authors: | LIU Xuan-liang |
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| Affiliation: | Dept.of Mathematics,Shanghai Jiaotong Univ.,Shanghai,200240,Chian |
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| Abstract: | Consider a four-dimensional system having a two-dimensional invariant surface. By analyzing the solutions of bifurcation equations, this paper studied the bifurcation phenomena of a k multiple closed orbit in the invariant surface. Sufficient conditions for the existence of periodic orbits generated by the k multiple closed orbit were given. |
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| Keywords: | bifurcation periodic orbit four-dimensional system |
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