The existence of periodic solution for infinite dimensional Hamiltonian systems

2018/10/18 by W. Deng, Wenqian Deng, Deng, W. +4
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Control and Stability of Dynamical Systems #Quantum chaos and dynamical systems #math.DS

paper · pdf · doi:10.48550/arxiv.1810.07932

arxiv created 2018/10/18 · arxiv updated 2018/10/19

Abstract

In this paper, we will consider a kind of infinite dimensional Hamiltonian system(HS), by the method of saddle point reduction, topology degree and the index, we will get the existence of periodic solution for (HS).

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