Symmetrically homoclinic orbits for symmetric Hamiltonian systems
The author studies the existence of a symmetric homoclinic orbit for the first order symmetric Hamiltonian system and existence of infinitely many odd homoclinic orbits for classical Hamiltonian systems with even potentials. Note that in contrast to all previous results, the author removes a quadratic term for the Hamiltonian function.
scientific article; zbMATH DE number 1497266