Partial hyperbolicity for symplectic diffeomorphisms
Periodic and heteroclinic orbits for a periodic hamiltonian system
Periodic orbits close to elliptic tori and applications to the three-body problem
We prove, under suitable non-resonance and non-degeneracy “twist” conditions, a Birkhoff-Lewis type result showing the existence of infinitely many periodic solutions, with larger and larger minimal period, accumulating onto elliptic invariant tori (of hamiltonian systems). We prove the applicability of this result to the spatial planetary three-body problem in the small eccentricity-inclination regime. Furthermore, we find other periodic orbits under some restrictions on the period and the masses...
Periodic points of Hamiltonian surface diffeomorphisms.
Periodic solution of second-order Hamiltonian systems with a change sign potential on time scales.
Periodic solutions for a class of non-coercive Hamiltonian systems.
Periodic solutions for a class of second-order Hamiltonian systems.
Periodic solutions for second order Hamiltonian systems
By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.
Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
Periodic solutions for second-order Hamiltonian systems with the p-Laplacian.
Periodic solutions for second-order Hamiltonian systems with a p -Laplacian
In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
Periodic solutions for singular hamiltonian systems and closed geodesics on non-compact riemannian manifolds
Periodic solutions for some nonautonomous -Laplacian Hamiltonian systems
In this paper, we deal with the existence of periodic solutions of the -Laplacian Hamiltonian system Some new existence theorems are obtained by using the least action principle and minimax methods in critical point theory, and our results generalize and improve some existence theorems.
Periodic solutions for subquadratic discrete Hamiltonian systems.
Periodic solutions of hamiltonian systems of 3-body type
Periodic Solutions of Hamiltonian Systems on Hypersurfaces in Torus.
Periodic solutions of second order hamiltonian systems bifurcating from infinity
Periodic solutions of second-order nonautonomous dynamical systems.
Periodic solutions of some problems of 3-body type
Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.