scholarly journals Computations of cohomology groups and nontrivial periodic solutions of Hamiltonian systems

2007 ◽  
Vol 330 (1) ◽  
pp. 259-275 ◽  
Author(s):  
Zhi-Qing Han
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Cohomology Groups ◽  
Nontrivial Periodic Solutions

scholarly journals Existence of multiple critical points for an asymptotically quadratic functional with applications

1996 ◽  
Vol 1 (3) ◽  
pp. 277-289 ◽  
Author(s):  
Shujie Li ◽  
Jiabao Su
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Critical Points ◽  
Morse Theory ◽  
Quadratic Functional ◽  
Functional Applications ◽  
Critical Points At Infinity ◽  
Nontrivial Periodic Solutions

Morse theory for isolated critical points at infinity is used for the existence of multiple critical points for an asymptotically quadratic functional. Applications are also given for the existence of multiple nontrivial periodic solutions of asymptotically Hamiltonian systems.

Three periodic solutions for -Hamiltonian systems

2011 ◽  
Vol 74 (5) ◽  
pp. 1596-1606 ◽  
Author(s):  
Chun Li ◽  
Zeng-Qi Ou ◽  
Chun-Lei Tang
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems
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