Islands of accelerator modes and homoclinic tangles

Chaos
Vered Rom-Kedar, G M Zaslavsky

Abstract

Islands are divided according to their phase space structure-resonant islands and tangle islands are considered. It is proved that in the near-integrable limit these correspond to two distinct sets, hence that in general their definitions are not trivially equivalent. It is demonstrated and proved that accelerator modes of the standard map and of the web map are necessarily of the tangle island category. These islands have an important role in determining transport-indeed it has been demonstrated in various works that stickiness to these accelerator modes may cause anomalous transport even for initial conditions starting in the ergodic component. (c) 1999 American Institute of Physics.

References

Sep 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G M ZaslavskyH Weitzner
May 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G M Zaslavsky, S S Abdullaev
Jun 5, 2003·Chaos·R. B. WhiteG. M. Zaslavsky
Jun 1, 1995·Chaos·Vered Rom-Kedar

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Citations

Dec 3, 2008·Chaos·G M Zaslavsky, M Edelman
Oct 4, 2006·Chaos·S V PrantsG M Zaslavsky
May 2, 2009·The Journal of Chemical Physics·R PaskauskasT Uzer
Oct 3, 2015·Chaos·J D Meiss
Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D A Rakhlin
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Iomin, G M Zaslavsky
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·X LeonciniG M Zaslavsky
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A IominG M Zaslavsky
Feb 1, 2008·Physical Review Letters·L Benet, O Merlo
May 20, 2018·Physical Review. E·André L P LivoratiEdson D Leonel
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tiago KroetzIberê L Caldas
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xavier Leoncini, George M Zaslavsky
Nov 21, 2020·Physical Review. E·L Lugosi, T Kovács
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Itzhack Dana
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eduardo G AltmannHolger Kantz
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oded Barash, Itzhack Dana
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L Kuznetsov, G M Zaslavsky
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G DatserisP Schmelcher
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oded Barash, Itzhack Dana

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