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. (2012) A new approach to the treatment of Separatrix Chaos. Fluctuation and Noise Letters, 11 (1): 1240002. -. ISSN 0219-4775

[thumbnail of newapproach8PostPrint]
Preview
PDF (newapproach8PostPrint)
newapproach8PostPrint.pdf - Accepted Version

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.

Item Type:
Journal Article
Journal or Publication Title:
Fluctuation and Noise Letters
Additional Information:
Electronic version of this article published as A new approach to the treatment of Separatrix Chaos in Fluctuation and Noise Letters, 11, 1, 2012, 1240002 10.1142/S0219477512400020 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0219477512400020
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
?? chaotic layerseparatrix map nonlinear resonance global chaos superlattice meandering flow mathematics(all) ??
ID Code:
61483
Deposited By:
Deposited On:
02 Jan 2013 10:14
Refereed?:
Yes
Published?:
Published
Last Modified:
29 Jan 2024 00:21