Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré–Birkhoff theorem

Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré–Birkhoff theorem

Abstract In this paper, we study the multiplicity of periodic solutions of one kind of planar Hamiltonian systems with a nonlinear term satisfying semilinear conditions. Using a generalized Poincaré–Birkhoff fixed point theorem, we prove that the system has infinitely many periodic solutions, provid...

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Bibliographic Details
Main Authors: Zaihong Wang, Tiantian Ma
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Boundary Value Problems
Subjects:
Planar Hamiltonian system
Time map
Periodic solution
Online Access:http://link.springer.com/article/10.1186/s13661-018-1022-y

Internet

http://link.springer.com/article/10.1186/s13661-018-1022-y

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