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arXiv · 0908.0029

Minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems

Chungen Liu
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Abstract

In this paper, we consider the minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems. We prove that if the Hamiltonian function $H\in C^2(\Bbb R^{2n}, \Bbb R)$ is super-quadratic and convex, for every number $τ>0$, there exists at least one $τ$-periodic brake orbit $(τ,x)$ with minimal period $τ$ or $τ/2$ provided $H(Nx)=H(x)$.

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Chungen Liu. 2009-08-01. Minimal period estimates for brake orbits of nonlinear symmetric Hamiltonian systems. https://arxiv.org/abs/0908.0029

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