PMID: 11308741Apr 20, 2001Paper

Dynamic localization of Lyapunov vectors in Hamiltonian lattices

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Arkady Pikovsky, Antonio Politi

Abstract

The convergence of the Lyapunov vector toward its asymptotic shape is investigated in two different one-dimensional Hamiltonian lattices: the so-called Fermi-Pasta-Ulam and Phi(4) chains. In both cases, we find an anomalous behavior, i.e., a clear difference from the previously conjectured analogy with the Kardar-Parisi-Zhang equation. The origin of the discrepancy is eventually traced back to the existence of nontrivial long-range correlations both in space and time. As a consequence of this anomaly, we find that, in a Hamiltonian lattice, the largest Lyapunov exponent is affected by stronger finite-size corrections than standard space-time chaos.

References

Sep 1, 1990·Physical Review. B, Condensed Matter·Y C Zhang
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
Jan 16, 1995·Physical Review Letters·L CasettiM Pettini

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Citations

Jan 30, 2007·Computers in Biology and Medicine·Linda AchourJean-François Muir
Oct 29, 2005·Journal of Neuroscience Methods·Andy MüllerKlaus Lehnertz
Jul 28, 2005·Journal of Physiology, Paris·Björn SchelterJens Timmer
Jun 28, 2005·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·Avgis HadjipapasGareth R Barnes
Jul 1, 2008·Biophysical Journal·Jane H SheebaPeter V E McClintock
Jun 15, 2015·Human Movement Science·Gregory ZelicChris Davis
Sep 28, 2010·Progress in Biophysics and Molecular Biology·Angela J LangdonMichael Breakspear
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tooru Taniguchi, Gary P Morriss
Jun 1, 2004·Physical Review Letters·Alejandro D SánchezManuel A Matías
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ramaz Khomeriki
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong-liu Yang, Günter Radons
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong-liu Yang, Günter Radons
Apr 12, 2006·Physical Review Letters·Hong-liu Yang, Günter Radons
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hong-Liu Yang, Günter Radons
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jacobus A van Meel, Harald A Posch
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Romero-BastidaMiguel A Rodríguez
Jul 30, 2016·Physical Review Letters·Diego PazóAntonio Politi
Sep 28, 2017·Physical Review Letters·Moupriya Das, Jason R Green
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tony ChungGary P Morriss
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Diego PazóMiguel A Rodríguez
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Diego PazóMiguel A Rodríguez
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Diego Pazó, Juan M López
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Diego PazóAntonio Politi
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ivan G SzendroMiguel A Rodríguez
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tooru Taniguchi, Gary P Morriss
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tooru Taniguchi, Gary P Morriss

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