Periodic solutions and their connecting orbits of Hamiltonian systems

Chao Nien Chen; Shyuh yaur Tzeng

doi:10.1006/jdeq.2000.3996

Periodic solutions and their connecting orbits of Hamiltonian systems

Chao Nien Chen, Shyuh yaur Tzeng

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

This article deals with second order periodic Hamiltonian systems. We apply variational methods to obtain non-constant periodic solutions. For the time reversible Hamiltonian systems, there exist connecting orbits joining pairs of periodic solutions. Our methods can also be used to treat heteroclinic orbits connecting an equilibrium to a periodic solution.

Original language	English
Pages (from-to)	121-145
Number of pages	25
Journal	Journal of Differential Equations
Volume	177
Issue number	1
DOIs	https://doi.org/10.1006/jdeq.2000.3996
Publication status	Published - 2001 Nov 20

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1006/jdeq.2000.3996

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title = "Periodic solutions and their connecting orbits of Hamiltonian systems",

abstract = "This article deals with second order periodic Hamiltonian systems. We apply variational methods to obtain non-constant periodic solutions. For the time reversible Hamiltonian systems, there exist connecting orbits joining pairs of periodic solutions. Our methods can also be used to treat heteroclinic orbits connecting an equilibrium to a periodic solution.",

author = "Chen, {Chao Nien} and Tzeng, {Shyuh yaur}",

note = "Funding Information: 1Research was partially supported by the National Science Council of Republic of China.",

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AU - Tzeng, Shyuh yaur

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AB - This article deals with second order periodic Hamiltonian systems. We apply variational methods to obtain non-constant periodic solutions. For the time reversible Hamiltonian systems, there exist connecting orbits joining pairs of periodic solutions. Our methods can also be used to treat heteroclinic orbits connecting an equilibrium to a periodic solution.

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