Chaos: A tutorial for engineers

Chaos: A tutorial for engineers

This tutorial presents an in-depth introduction to chaos in dynamical systems, and presents several practical techniques for recognizing and classifying chaotic behavior. These techniques include the poincaré map, Lyapunov exponents, capacity, information dimension, correlation dimension, Lyapunov d...

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Veröffentlicht in:Proceedings of the IEEE 1987-08, Vol.75 (8), p.982-1008
Hauptverfasser: Parker, T.S., Chua, L.O.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Chaos
Closed-form solution
Computational modeling
Computer simulation
Eigenvalues and eigenfunctions
Electric, optical and optoelectronic circuits
Electronics
Equations
Exact sciences and technology
Linear systems
Nonlinear systems
Numerical simulation
Theoretical study. Circuits analysis and design
Tutorial
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Beschreibung
Zusammenfassung:This tutorial presents an in-depth introduction to chaos in dynamical systems, and presents several practical techniques for recognizing and classifying chaotic behavior. These techniques include the poincaré map, Lyapunov exponents, capacity, information dimension, correlation dimension, Lyapunov dimension, and the reconstruction of attractors from a single time series.
ISSN:0018-9219
1558-2256
DOI:10.1109/PROC.1987.13845