Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems
Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems
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DOI：
10.1088/0951-7715/26/5/1345
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发表时间：
2013-05
期刊：
影响因子：
1.7
通讯作者：
K. Yagasaki
中科院分区：
文献类型：
--
作者：
K. Yagasaki
We study bifurcations from one-parameter families of symmetric periodic orbits in reversible systems and give simple criteria for subharmonic symmetric periodic orbits to be born from the one-parameter families. Our result is illustrated for a generalization of the Hénon–Heiles system. In particular, it is shown that there exist infinitely many families of symmetric periodic orbits bifurcating from a family of symmetric periodic orbits under a general condition. Numerical computations for these bifurcations and symmetric periodic orbits are also given.
