Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems

Yiming Long

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Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems

Yiming Long

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Abstract

In recent years, we have established the iteration theory of the index for symplectic matrix paths and applied it to periodic solution problems of nonlinear Hamiltonian systems. This paper is a survey on these results.

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Yiming Long. 2003-04-18. Index iteration theory for symplectic paths with applications to nonlinear Hamiltonian systems. https://arxiv.org/abs/math/0304265

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