Results 51 to 56 of about 180 (56)
Pinball dynamics: unlimited energy growth in switching Hamiltonian systems [PDF]
arXiv, 2013 A family of discontinuous symplectic maps on the cylinder is considered. This family arises naturally in the study of nonsmooth Hamiltonian dynamics and in switched Hamiltonian systems. The transformation depends on two parameters and is a canonical model for the study of bounded and unbounded behavior in discontinuous area-preserving mappings due to ...
arxiv
On the Lyapunov instability in Newtonian dynamics [PDF]
arXiv, 2019 We prove Lyapunov instability for cases in which the local minimum of the potential energy is reached on a hypersurface of the configuration space. In contrast to the known results in this direction, which hold for potentials satisfying hypotheses in the first non-zero jet, this new result covers several real analytic cases that the previous ones do ...
arxiv
Nekhoroshev theory and discrete averaging [PDF]
arXivThis paper contains a proof of the Nekhoroshev theorem for quasi-integrable symplectic maps. In contrast to the classical methods, our proof is based on the discrete averaging method and does not rely on transformations to normal forms. At the centre of our arguments lies the theorem on embedding of a near-the-identity symplectic map into an autonomous
arxiv
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed.
Caracciolo, Chiara +2 more
core
Periodic orbits of the spatial anisotropic Manev problem [PDF]
, 2012 Ammar Makhlouf +12 more
core +2 more sources
Periodic orbits of Hamiltonian systems: Applications to perturbed Kepler problems [PDF]
Alhassid +18 more
core +1 more source