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math.DS2016
Minimal -symmetric period problem of first-order autonomous Hamiltonian Systems
Chungen Liu, Ben-Xing Zhou
Let satisfying , we consider the minimal -symmetric period problem of the autonomous nonlinear Hamiltonian system \begin{equation*} \dot x(t) = JH^{\…
math.DS2016★ 1 cited
Subharmonic Solutions and Minimal Periodic Solutions of First-order Hamiltonian Systems with Anisotropic Growth
Chungen Liu, Xiaofei Zhang
Using a homologically link theorem in variational theory and iteration inequalities of Maslov-type index, we show the existence of a sequence of subharmonic solutions of non-autono…