Separatrix chaos: new approach to the theoretical treatment
Abstract
We develop a new approach to the theoretical treatment of the separatrix chaos, using a special analysis of the separatrix map. The approach allows us to describe boundaries of the separatrix chaotic layer in the Poincar\'{e} section and transport within the layer. We show that the maximum which the width of the layer in energy takes as the perturbation frequency varies is much larger than the perturbation amplitude, in contrast to predictions by earlier theories suggesting that the maximum width is of the order of the amplitude. The approach has also allowed us to develop the self-consistent theory of the earlier discovered (PRL 90, 174101 (2003)) drastic facilitation of the onset of global chaos between adjacent separatrices. Simulations agree with the theory.
Keywords
Cite
@article{arxiv.0711.4827,
title = {Separatrix chaos: new approach to the theoretical treatment},
author = {S. M. Soskin and R. Mannella and O. M. Yevtushenko},
journal= {arXiv preprint arXiv:0711.4827},
year = {2016}
}
Comments
10 pages, 4 figures, proceedings of the conference "Chaos, Complexity and Transport" (Marseille, 5-9 June 2007), in press