A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS

SOSKIN, STANISLAV M. and MANNELLA, RICCARDO and YEVTUSHENKO, OLEG M. and KHOVANOV, IGOR A. and McCLINTOCK, PETER V. E. (2022) A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS. In: The Random and Fluctuating World : Celebrating Two Decades of Fluctuation and Noise Letters. World Scientific Publishing Co. Pte Ltd, pp. 213-224. ISBN 9789811252136

Text (SeparatrixChaosPostPrint)
SeparatrixChaosPostPrint.pdf - Accepted Version
Available under License Creative Commons Attribution.
Download (3MB)

Abstract

We review an approach to separatrix chaos that has allowed us to solve some significant problems by: (i) finding analytically the maximum width of the chaotic layer, a problem that lay unsolved for 40 years, and showing that the maximum may be much larger than had previously been assumed; (ii) describing the drastic facilitation of the onset of global chaos between neighboring separatrices, a phenomenon discovered eight years ago.