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Transient Chaos in Low-Dimensional Systems

  • Ying-Cheng Lai
  • Tamás Tél
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 173)

Abstract

We study low-dimensional dynamical systems, i.e., systems described by one-dimensional noninvertible or two-dimensional invertible maps. For such systems it is often possible to obtain analytic understanding of generic properties of transient chaos that are shared by more realistic physical systems. For example, for a higher-dimensional system, one-dimensional maps can be used to model the dynamics along the unstable manifold [564, 220].

Keywords

Periodic Orbit Lyapunov Exponent Unstable Manifold Topological Entropy Escape Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Electrical EngineeringArizona State UniversityTempeUSA
  2. 2.Department of Theoretical Physics Institute of PhysicsEötvös UniversityBudapestHungary

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