Diffusion in Hamiltonian systems
Copyright policy )Diffusion in Hamiltonian systems
The study is reported of a diffusion in a model of degenerate Hamiltonian systems. The Hamiltonian under consideration is the sum of a linear function of action variables and a periodic function of angle variables. Under certain choices of these functions the diffusion of action variables exists. In the case of two degrees of freedom during the process of diffusion, the vector of the action variables returns many times near its initial value. In the case of three degrees of freedom the choice of Hamiltonian allows one to obtain a diffusion rate faster than any prescribed one.
- Lomonosov Moscow State University Russian Federation
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, Hamilton's equations, degenerate Hamiltonian systems, Growth and boundedness of solutions to ordinary differential equations, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Periodic and quasi-periodic flows and diffeomorphisms, diffusion of action variables
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, Hamilton's equations, degenerate Hamiltonian systems, Growth and boundedness of solutions to ordinary differential equations, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Periodic and quasi-periodic flows and diffeomorphisms, diffusion of action variables
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