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Periodic Solutions for Discrete Convex Hamiltonian Systems via Clarke Duality
Jianshe Yu 1 * #,Honghua Bin 2,Zhiming Guo 1
1.Guangzhou University
2.Hunan University
*Correspondence author
#Submitted by
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Funding: 国家自然科学基金，广东省自然科学基金（No.10471029，04300034）
Opened online:12 December 2005
Accepted by: none
Citation: Jianshe Yu,Honghua Bin,Zhiming Guo.Periodic Solutions for Discrete Convex Hamiltonian Systems via Clarke Duality[OL]. [12 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4231
 
 
Based on the Legendre transform, the dual action functional which corresponds to discrete Hamiltonian systems is given. In this paper, the existence of periodic solution for discrete convex Hamiltonian systems with forcing terms is obtained by using the dual least action principle and perturbation technique.
Keywords:Clarke duality, perturbation technique, dual least action principle, discrete Hamiltonian systems, periodic solution, convex
 
 
 

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