Nontrivial homoclinic orbits for second-order singular and periodic Hamiltonian systems

1999 ◽  
Vol 44 (2) ◽  
pp. 123-129 ◽  
Author(s):  
Chengyue Li ◽  
Tianyou Fan ◽  
Mingsheng Tong
Keyword(s):  
Hamiltonian Systems ◽  
Homoclinic Orbits ◽  
Second Order

scholarly journals Existence and Multiplicity of Homoclinic Orbits for Second-Order Hamiltonian Systems with Superquadratic Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Ying Lv ◽  
Chun-Lei Tang
Keyword(s):  
Hamiltonian Systems ◽  
Mountain Pass Theorem ◽  
Homoclinic Orbits ◽  
Second Order ◽  
Mountain Pass ◽  
Fountain Theorem ◽  
Existence And Multiplicity ◽  
Second Order Hamiltonian Systems ◽  
Superquadratic Potential

We investigate the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems with local superquadratic potential by using the Mountain Pass Theorem and the Fountain Theorem, respectively.

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