Lee, Cheng2019-11-212019-11-211999-10-12Lee, C. (1999). Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries. <i>Electronic Journal of Differential Equations, 1999</i>(42), pp. 1-12.1072-6691https://hdl.handle.net/10877/8866This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems ż = JHz(t, z) without any periodicity assumption on H, providing that H(t, z) is G-symmetric with respect to z ∈ R2N, is superquadratic as |z| → ∞, and satisfies some additional assumptions.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalHamiltonian systemHomoclinic orbitsArticle