Minimal periodic problem for brake orbits of first-order Hamiltonian systems

Xiaofei Zhang, Chungen Liu, Xinnian Lu

DOI: http://dx.doi.org/10.12775/TMNA.2020.032

Abstract


In this paper, with the aid of $L_{0}$-index iteration theory, the minimal period estimates are considered on brake orbits of nonlinear $N$-symmetric Hamiltonian systems with a mild superquadratic growth condition.

Keywords


Hamiltonian system; brake orbit; $L_{0}$-index; minimal periodic problem

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