scholarly journals An Index Theory with Applications to Homoclinic Orbits of Hamiltonian Systems and Dirac Equations

2020 ◽  
Vol 32 (3) ◽  
pp. 1177-1201
Author(s):  
Qi Wang ◽  
Chungen Liu
Keyword(s):  
Hamiltonian Systems ◽  
Index Theory ◽  
Homoclinic Orbits ◽  
Dirac Equations

scholarly journals Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems with Some Twisted Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Qi Wang ◽  
Qingye Zhang
Keyword(s):  
Hamiltonian Systems ◽  
Index Theory ◽  
Maslov Index ◽  
Homoclinic Orbits ◽  
Asymptotically Linear ◽  
Existence And Multiplicity ◽  
Hamiltonian Functions

By the Maslov index theory, we will study the existence and multiplicity of homoclinic orbits for a class of asymptotically linear nonperiodic Hamiltonian systems with some twisted conditions on the Hamiltonian functions.

scholarly journals Erratum to: Homoclinic orbits for an unbounded superquadratic Hamiltonian systems

2010 ◽  
Vol 18 (1) ◽  
pp. 115-115
Author(s):  
Jun Wang ◽  
Junxiang Xu ◽  
Fubao Zhang ◽  
Lei Wang
Keyword(s):  
Hamiltonian Systems ◽  
Homoclinic Orbits

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
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