Asymptotic stabilization with phase of periodic orbits of three-dimensional Hamiltonian systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.07.001
Abstract: Abstract We provide a geometric method to stabilize asymptotically with phase an arbitrary fixed periodic orbit of a locally generic three-dimensional Hamiltonian dynamical system. The main advantage of this method is that one need not… read more here.
Keywords: three dimensional; dimensional hamiltonian; phase periodic; asymptotic stabilization ... See more keywords
Quasiperiodic Perturbations of Two-Dimensional Hamiltonian Systems
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations"
DOI: 10.1134/s0012266117120047
Abstract: Quasiperiodic nonconservative perturbations of two-dimensional Hamiltonian systems are studied. The behavior of solutions in a neighborhood of resonance and nonresonance levels is considered. Conditions for the existence of resonant quasiperiodic solutions (m-dimensional resonance tori) are… read more here.
Keywords: dimensional hamiltonian; two dimensional; perturbations two; quasiperiodic perturbations ... See more keywords
The Effect of On-Site Potentials on Supratransmission in One-Dimensional Hamiltonian Lattices
Sign Up to like & getrecommendations! Published in 2023 at "Entropy"
DOI: 10.3390/e25030423
Abstract: We investigated a class of one-dimensional (1D) Hamiltonian N-particle lattices whose binary interactions are quadratic and/or quartic in the potential. We also included on-site potential terms, frequently considered in connection with localization phenomena, in this… read more here.
Keywords: site potential; effect; potential terms; one dimensional ... See more keywords