Periodic solutions of dynamical systems with Newtonian type potentials. (English) Zbl 0632.34038

Degiovanni, Marco; Giannoni, Fabio; Marino, Antonio

Periodic solutions of Hamiltonian systems and related topics, Proc. NATO Adv. Res. Workshop, Il Ciocco/Italy 1986, NATO ASI Ser., Ser. C 209, 111-115 (1987).

[For the entire collection see Zbl 0621.00013.]
Periodic solutions of some singular dynamical systems are sought, under assumptions which include the case of Newtonian potential generated by a mass concentrated in a point. A result concerning solutions of minimal period is also given.

MSC:

34C25	Periodic solutions to ordinary differential equations
37-XX	Dynamical systems and ergodic theory

Keywords:

singular dynamical systems; Newtonian potential; solutions of minimal period

Citations:

Zbl 0621.00013