We show the existence of periodic solutions of certain singularly perturbed systems having symmetry properties. Our results apply to some singular systems arising in the study of Hamiltonian systems with a strong restoring force.
机构:
Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Yoshida Honmachi, Kyoto 6068501, JapanKyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Yoshida Honmachi, Kyoto 6068501, Japan