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Ergodic Properties of the Relaxation Phase in Nonchaotic Unimodal Maps
p. 239-253
Abstract
The convergence to the mean values of observables is studied for nonlinear dynamical systems in the period-doubling bifurcation regime. The phase space convergence to the mean values is studied numerically; it reveals a characteristic behaviour induced by several special points in phase space. The convergence to the mean value for these points is exponential as opposed to the power-law convergence of the majority of the phase space. The issue of universality of these results which characterize the period doubling bifurcation behaviour is discussed.
Index
Text
References
Bibliographical reference
Konstantin Karamanos, I. Kapsomenakis and F. K. Diakonos, « Ergodic Properties of the Relaxation Phase in Nonchaotic Unimodal Maps », CASYS, 17 | 2006, 239-253.
Electronic reference
Konstantin Karamanos, I. Kapsomenakis and F. K. Diakonos, « Ergodic Properties of the Relaxation Phase in Nonchaotic Unimodal Maps », CASYS [Online], 17 | 2006, Online since 10 October 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=3491
Authors
Konstantin Karamanos
Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, C.P. 231
I. Kapsomenakis
University of Athens, GR-15771, Zografou, Athens
F. K. Diakonos
University of Athens, GR-15771, Zografou, Athens