PMID: 12786462Jun 6, 2003Paper

Can simple renormalization theories describe the trapping of chaotic trajectories in mixed systems?

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M WeissRoland Ketzmerick

Abstract

We investigate the relation between the chaotic dynamics and the hierarchical phase-space structure of the standard map as an example for generic Hamiltonian systems with a mixed phase space. We demonstrate that even in ideal situations when the phase-space structure is dominated by a single scaling, the long-time dynamics is not dominated by this scaling. This has consequences for the power-law decay of correlations and Poincaré recurrences.

References

Sep 1, 1986·Physical Review A: General Physics·J D Meiss
Oct 15, 1996·Physical Review. B, Condensed Matter·R Ketzmerick
Dec 16, 1985·Physical Review Letters·J D Meiss, E Ott
Nov 30, 1987·Physical Review Letters·T GeiselG Radons
Jun 15, 1992·Physical Review Letters·Y C LaiC Grebogi
Mar 2, 1992·Physical Review Letters·R FleischmannR Ketzmerick
Apr 29, 1996·Physical Review Letters·S Ruffo, D L Shepelyansky
Sep 16, 2000·Physical Review Letters·B HuckesteinC H Lewenkopf
Sep 16, 2000·Physical Review Letters·R KetzmerickM Weiss
Oct 4, 2000·Physical Review Letters·G CasatiG Maspero
Jul 20, 2001·Physical Review Letters·A P MicolichP B Wilkinson
Dec 18, 2002·Physical Review Letters·M WeissR Ketzmerick

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Citations

Oct 29, 2005·Chaos·Eduardo G AltmannHolger Kantz
Oct 3, 2015·Chaos·J D Meiss
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adilson E MotterHolger Kantz
Jun 4, 2008·Physical Review Letters·Eduardo G Altmann, Tamás Tél
Mar 5, 2009·Physical Review Letters·Roberto Venegeroles
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eduardo G Altmann, Tamás Tél
Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Or AlusJames D Meiss
Apr 16, 2020·Physical Review. E·Swetamber Das, Arnd Bäcker
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eduardo G AltmannHolger Kantz
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marten Kopp, Henning Schomerus
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroyuki Tanaka, Akira Shudo
Jun 4, 2008·Physical Review Letters·G Cristadoro, R Ketzmerick
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Akaishi, A Shudo
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jung-Wan RyuYoung-Jai Park
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Roy Ceder, Oded Agam
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Patrick Grete, Mario Markus

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