On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems

1994 ◽  
Vol 1 (1) ◽  
pp. 1-46 ◽  
Author(s):  
Fabio Giannoni ◽  
Paul H. Rabinowitz
Keyword(s):  
Hamiltonian Systems ◽  
Riemannian Manifolds ◽  
Homoclinic Orbits ◽  
Second Order ◽  
Second Order Hamiltonian Systems

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.

Two homoclinic orbits for some second-order Hamiltonian systems

2019 ◽  
pp. 1
Author(s):  
Patricio Cerda ◽  
Luiz F.O. Faria ◽  
Eduard Toon ◽  
Pedro Ubilla
Keyword(s):  
Hamiltonian Systems ◽  
Homoclinic Orbits ◽  
Second Order ◽  
Second Order Hamiltonian Systems
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