Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems
نویسنده
چکیده
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. AMS classification scheme numbers: 37G15, 37G40, 34C23, 34C14, 37J15
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