摘要
A class of functions {g(x)} will be provided, such that the differential equation d^2x/dt^2+ g(x) = p(t) possesses an infinitely many number of invariant tori in the orbit space(t, x,dx/dt)∈S^1×R^2. Moreover, each solution of the equation is bounded. The proof is basedon the twist theorem.
A class of functions {g(x)} will be provided, such that the differential equation d^2x/dt^2+ g(x) = p(t) possesses an infinitely many number of invariant tori in the orbit space(t, x,dx/dt)∈S^1×R^2. Moreover, each solution of the equation is bounded. The proof is basedon the twist theorem.