Periodic orbits in analytically perturbed Poisson systems
نویسندگان
چکیده
منابع مشابه
Periodic Orbits of Hamiltonian Systems: Applications to Perturbed Kepler Problems
We provide for a class of Hamiltonian systems in the action– angle variables sufficient conditions for showing the existence of periodic orbits. We expand this result to the study of the existence of periodic orbits of perturbed spatial Keplerian Hamiltonians with axial symmetry. Finally, we apply these general results for finding periodic orbits of the Matese– Whitman Hamiltonian, of the spati...
متن کاملChaotic diffusion on periodic orbits: the perturbed Arnold cat map.
Chaotic diffusion on periodic orbits (POs) is studied for the perturbed Arnold cat map on a cylinder, in a range of perturbation parameters corresponding to an extended structural-stability regime of the system on the torus. The diffusion coefficient is calculated, using the following PO formulas: (1). the curvature expansion of the Ruelle zeta function; (2). the average of the PO winding-numbe...
متن کاملPerturbed Closed Geodesics Are Periodic Orbits: Index and Transversality
We study the classical action functional SV on the free loop space of a closed, finite dimensional Riemannian manifold M and the symplectic action AV on the free loop space of its cotangent bundle. The critical points of both functionals can be identified with the set of perturbed closed geodesics in M . The potential V ∈ C∞(M × S,R) serves as perturbation and we show that both functionals are ...
متن کاملPeriodic Orbits of Hamiltonian Systems
5 The Variational principles and periodic orbits 21 5.1 Lagrangian view point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 5.2 Hamiltonian view point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 5.3 Fixed energy problem, the Hill’s region . . . . . . . . . . . . . . . . . . . . . . . . . . 27 5.4 Continuation of periodic orbits as critical p...
متن کاملGravitational Ionization: Periodic Orbits of Binary Systems Perturbed by Gravitational Radiation
The long term perturbation of a Newtonian binary system by an incident gravitational wave is discussed in connection with the issue of gravitational ionization. The periodic orbits of the planar tidal equation are investigated and the conditions for their existence are presented. The possibility of ionization of a Keplerian orbit via gravitational radiation is discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2014
ISSN: 0167-2789
DOI: 10.1016/j.physd.2014.02.008