Calculating topological entropy for transient chaos with an application to communicating with chaos

Journal Article · Mon Jun 01 04:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.57.6577· OSTI ID:636163

Jacobs, J; Ott, E ^[1]; Hunt, B R ^[2]

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1. Institute for Plasma Research and Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
2. Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742 (United States)

Recent work on communicating with chaos provides a practical motivation for being able to determine numerically the topological entropy for chaotic invariant sets. In this paper we discuss numerical methods for evaluating topological entropy. To assess the accuracy and convergence of the methods, we test them in situations where the topological entropy is known independently. We also discuss the entropy of invariant chaotic saddles formed by those points in a given attractor that never visit some forbidden {open_quotes}gap{close_quotes} region. Such gaps have been proposed as a means of providing noise immunity in schemes for communication with chaos, and we discuss the dependence of the topological entropy on the size of the gap. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 636163
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 57; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ATTRACTORS
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