45 citations · 132 across the 11 of their papers we have counts for
5 papers · 1 filter
Stochastic webs and quantum transport in superlattices: an introductory review
S. M. Soskin, P. V. E. McClintock, T. M. Fromhold +2
Stochastic webs were discovered, first by Arnold for multi-dimensional Hamiltonian systems, and later by Chernikov et al. for the low-dimensional case. Generated by weak perturbati…
Maximal width of the separatrix chaotic layer
S. M. Soskin, R. Mannella
The main goal of the paper is to find the {\it absolute maximum} of the width of the separatrix chaotic layer as function of the frequency of the time-periodic perturbation of a on…
A New Approach To The Treatment Of Separatrix Chaos And Its Applications
S. M. Soskin, R. Mannella, O. M. Yevtushenko +2
We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when th…
New approach to the treatment of separatrix chaos and its application to the global chaos onset between adjacent separatrices
S. M. Soskin, R. Mannella, O. M. Yevtushenko
We have developed the {\it general method} for the description of {\it separatrix chaos}, basing on the analysis of the separatrix map dynamics. Matching it with the resonant Hamil…
Divergence of the Chaotic Layer Width and Strong Acceleration of the Spatial Chaotic Transport in Periodic Systems Driven by an Adiabatic ac Force
S. M. Soskin, O. M. Yevtushenko, R. Mannella
We show for the first time that a {\it weak} perturbation in a Hamiltonian system may lead to an arbitrarily {\it wide} chaotic layer and {\it fast} chaotic transport. This {\it ge…