Characterizing the dynamics of stochastic bistable systems by measures of complexity
The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case when the barrier fluctuates due to additional external colored noise. In case of additive noise we calcu...
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Universität Potsdam
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ndltd-Potsdam-oai-kobv.de-opus-ubp-14552013-01-08T00:56:16Z Characterizing the dynamics of stochastic bistable systems by measures of complexity Witt, Annette Neiman, Alexander Kurths, Jürgen Physics The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers problem with additive white noise and the case when the barrier fluctuates due to additional external colored noise. In case of additive noise we calculate the Lyapunov exponents and all measures of complexity analytically as functions of the noise intensity resp. the mean escape time. For the problem of fluctuating barrier the usual description of the dynamics with the mean escape time is not sufficient. The application of the concept of measures of complexity allows to describe the structures of motion in more detail. Most complexity measures sign the value of correlation time at which the phenomenon of resonant activation occurs with an extremum. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Physik und Astronomie Wissenschaftliche Einrichtungen. Interdisziplinäres Zentrum Dynamik komplexer Systeme 1997 Preprint application/pdf urn:nbn:de:kobv:517-opus-14556 http://opus.kobv.de/ubp/volltexte/2007/1455/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php |
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English |
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Others
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Physics Witt, Annette Neiman, Alexander Kurths, Jürgen Characterizing the dynamics of stochastic bistable systems by measures of complexity |
description |
The dynamics of noisy bistable systems is analyzed by means of Lyapunov exponents and measures of complexity. We consider both the classical Kramers
problem with additive white noise and the case when the barrier fluctuates due to additional external colored noise. In case of additive noise we calculate the Lyapunov exponents and all measures of complexity analytically as functions of the noise intensity resp. the mean escape time. For the problem of fluctuating barrier the usual description of the dynamics with the mean escape time is not
sufficient. The application of the concept of measures of complexity allows to describe the structures of motion in more detail. Most complexity measures sign
the value of correlation time at which the phenomenon of resonant activation occurs with an extremum.
|
author |
Witt, Annette Neiman, Alexander Kurths, Jürgen |
author_facet |
Witt, Annette Neiman, Alexander Kurths, Jürgen |
author_sort |
Witt, Annette |
title |
Characterizing the dynamics of stochastic bistable systems by measures of complexity |
title_short |
Characterizing the dynamics of stochastic bistable systems by measures of complexity |
title_full |
Characterizing the dynamics of stochastic bistable systems by measures of complexity |
title_fullStr |
Characterizing the dynamics of stochastic bistable systems by measures of complexity |
title_full_unstemmed |
Characterizing the dynamics of stochastic bistable systems by measures of complexity |
title_sort |
characterizing the dynamics of stochastic bistable systems by measures of complexity |
publisher |
Universität Potsdam |
publishDate |
1997 |
url |
http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14556 http://opus.kobv.de/ubp/volltexte/2007/1455/ |
work_keys_str_mv |
AT wittannette characterizingthedynamicsofstochasticbistablesystemsbymeasuresofcomplexity AT neimanalexander characterizingthedynamicsofstochasticbistablesystemsbymeasuresofcomplexity AT kurthsjurgen characterizingthedynamicsofstochasticbistablesystemsbymeasuresofcomplexity |
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1716502025898819584 |