Periodic orbits of a one dimensional non autonomous Hamiltonian system
Abstract
In this paper we study the properties of the periodic orbits of \"x + V'x(t, x) = 0 with x ∈ S1 and V(t, x) a T0 periodic potential. Called ∈ (1/T0)Q the frequency of windings of an orbit in S1 we show that exists an infinite number of periodic solutions with a given . We give a lower bound on the number of periodic orbits with a given period and by means of the Morse theory.
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