A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS-Reference-Cited by-同舟云学术

A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS

Published:2012-03 Issue:01 Volume:11 Page:1240002
ISSN:0219-4775
Container-title:Fluctuation and Noise Letters
language:en
Short-container-title:Fluct. Noise Lett.

Author:

SOSKIN STANISLAV M.¹,MANNELLA RICCARDO²,YEVTUSHENKO OLEG M.³,KHOVANOV IGOR A.⁴,McCLINTOCK PETER V. E.⁵

Affiliation:

1. Institute of Semiconductor Physics, 03028 Kiev, Ukraine

2. Dipartimento di Fisica, Università di Pisa, 56127 Pisa, Italy

3. Physics Department, Ludwig-Maximilians-Universität München, D-80333 München, Germany

4. School of Engineering, University of Warwick, Coventry CV4 7AL, UK

5. Physics Department, Lancaster University, Lancaster LA1 4YB, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219477512400020

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