Journal Article

PreJuSER-42912

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Comparison of averages of flows and maps

Kaufmann, Z. ; Lustfeld, H.FZJ*

2001
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/9252  doi:10.1103/PhysRevE.64.055206

Abstract: It is shown that in transient chaos there is no direct relation between averages in a continuous time dynamical system (flow) and averages using the analogous discrete system defined by the corresponding Poincare map. In contrast to permanent chaos, results obtained from the Poincare map can even be qualitatively incorrect. The reason is that the return time between intersections on the Poincare surface becomes relevant. However, after introducing a true-time Poincare map, quantities known from the usual Poincare map, such as conditionally invariant measure and natural measure, can be generalized to this case. Escape rates and averages, e.g., Liapunov exponents and drifts, can be determined correctly using these measures. Significant differences become evident when we compare with results obtained from the usual Poincare map.

Keyword(s): J

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Theorie I (IFF-TH-I)

Research Program(s):

1. Elektronische Struktur von Festkörpern, Oberflächen und Schichtsystemen (23.20.0)

Appears in the scientific report 2001

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Database coverage:
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