Abstract
In hamiltonian systems, which are close to nondegenerate integrable systems, Arnold diffusion does not arise in the case of two degrees freedom; for a larger number of gegrees of freedom the diffusion is, generally speaking, exponentially slow. If a nonperturbed system is degenerate, diffusion proceeding according to a stochastic pattern may arise, even in the case of two degrees of freedom. The results pertain to the 21/2 degree of freedom problem of the motion of a charged particle in a magnetic field or in the field of a wave propagating at angle with respect to the magnetic field.
Zaslavskij, G M;
Zakharov, M Yu;
Nejshtadt, A I;
Sagdeev, P Z;
Usikov, D A;
Chernikov, A A
[1]
- AN SSSR, Moscow (USSR). Inst. Kosmicheskikh Issledovanij
Citation Formats
Zaslavskij, G M, Zakharov, M Yu, Nejshtadt, A I, Sagdeev, P Z, Usikov, D A, and Chernikov, A A.
Multidimensional Hamiltonian chaos. Mnogomernyj gamil'tonovskij khaos.
USSR: N. p.,
1989.
Web.
Zaslavskij, G M, Zakharov, M Yu, Nejshtadt, A I, Sagdeev, P Z, Usikov, D A, & Chernikov, A A.
Multidimensional Hamiltonian chaos. Mnogomernyj gamil'tonovskij khaos.
USSR.
Zaslavskij, G M, Zakharov, M Yu, Nejshtadt, A I, Sagdeev, P Z, Usikov, D A, and Chernikov, A A.
1989.
"Multidimensional Hamiltonian chaos. Mnogomernyj gamil'tonovskij khaos."
USSR.
@misc{etde_5728301,
title = {Multidimensional Hamiltonian chaos. Mnogomernyj gamil'tonovskij khaos}
author = {Zaslavskij, G M, Zakharov, M Yu, Nejshtadt, A I, Sagdeev, P Z, Usikov, D A, and Chernikov, A A}
abstractNote = {In hamiltonian systems, which are close to nondegenerate integrable systems, Arnold diffusion does not arise in the case of two degrees freedom; for a larger number of gegrees of freedom the diffusion is, generally speaking, exponentially slow. If a nonperturbed system is degenerate, diffusion proceeding according to a stochastic pattern may arise, even in the case of two degrees of freedom. The results pertain to the 21/2 degree of freedom problem of the motion of a charged particle in a magnetic field or in the field of a wave propagating at angle with respect to the magnetic field.}
journal = []
volume = {96:5}
journal type = {AC}
place = {USSR}
year = {1989}
month = {Jan}
}
title = {Multidimensional Hamiltonian chaos. Mnogomernyj gamil'tonovskij khaos}
author = {Zaslavskij, G M, Zakharov, M Yu, Nejshtadt, A I, Sagdeev, P Z, Usikov, D A, and Chernikov, A A}
abstractNote = {In hamiltonian systems, which are close to nondegenerate integrable systems, Arnold diffusion does not arise in the case of two degrees freedom; for a larger number of gegrees of freedom the diffusion is, generally speaking, exponentially slow. If a nonperturbed system is degenerate, diffusion proceeding according to a stochastic pattern may arise, even in the case of two degrees of freedom. The results pertain to the 21/2 degree of freedom problem of the motion of a charged particle in a magnetic field or in the field of a wave propagating at angle with respect to the magnetic field.}
journal = []
volume = {96:5}
journal type = {AC}
place = {USSR}
year = {1989}
month = {Jan}
}