COLOR MAP OF LYAPUNOV EXPONENTS OF INVARIANT SETS-Reference-Cited by-同舟云学术

COLOR MAP OF LYAPUNOV EXPONENTS OF INVARIANT SETS

Published:1999-07 Issue:07 Volume:09 Page:1459-1463
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

MONTI MARCO¹,PARDO WILLIAM B.¹,WALKENSTEIN JONATHAN A.¹,ROSA EPAMINONDAS¹,GREBOGI CELSO²

Affiliation:

1. Nonlinear Dynamics Laboratory, Department of Physics, University of Miami, Coral Gables, FL 33146, USA

2. Institute for Plasma Research, Institute for Physical Sciences and Technology, Department of Mathematics, University of Maryland College Park, MD 20742, USA

Abstract

The largest Lyapunov exponent of the Lorenz system is used as a measure of chaotic behavior to construct parameter space color maps. Each color in these maps corresponds to different values of the Lyapunov exponent and indicates, in parameter space, the locations of different levels of chaos for the Lorenz system. Practical applications of these maps include moving in parameter space from place to place without leaving a region of specific behavior of the system.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499001012

Reference23 articles.

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3. Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom

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