Periodic solutions of a non coercive Hamiltonian system.
M. Timoumi, A. Trad (1995)
Collectanea Mathematica
Similarity:
Displaying similar documents to “Remarks on some monotonicity conditions for the period function”
Periodic solutions of a non coercive Hamiltonian system.
Monotonicity of the period map of a non-Hamiltonian center.
Jorge Billeke, Eduardo Sáez (1994)
Collectanea Mathematica
Similarity:
Period function's convexity for Hamiltonian centers with separable variables
M. Sabatini (2005)
Annales Polonici Mathematici
Similarity:
A convexity theorem for the period function T of Hamiltonian systems with separable variables is proved. We are interested in systems with non-monotone T. This result is applied to proving the uniqueness of critical orbits for second order ODE's.
On the prescribed-period problem for autonomous Hamiltonian systems.
Zevin, A.A. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Subharmonics of convex non-coercive Hamiltonian systems.
Mohsen Timoumi (1992)
Collectanea Mathematica
Similarity:
Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Chengfu Che, Xiaoping Xue (2012)
Annales Polonici Mathematici
Similarity:
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.
Solutions with minimal period for hamiltonian systems in a potential well
Antonio Ambrosetti, Vittorio Coti Zelati (1987)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Periodic solutions for a class of autonomous hamiltonian systems
H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Periodic orbits close to elliptic tori and applications to the three-body problem
Massimiliano Berti, Luca Biasco, Enrico Valdinoci (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
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...
Convergence results for periodic solutions of nonautonomous Hamiltonian systems
Mario Girardi, Michele Matzeu (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We prove some stability results for a certain class of periodic solutions of nonautonomous Hamiltonian systems in the case of Hamiltonian functions either with subquadratic growth or homogeneous with superquadratic growth. Thus we extend to the nonautonomous case some results recently established by the Authors for the autonomous case.