Color map of Lyapunov exponents of invariant sets

M  Monti; W B  Pardo; J A  Walkenstein; E  Rosa; C  Grebogi

Color map of Lyapunov exponents of invariant sets

M Monti, W B Pardo, J A Walkenstein, E Rosa, C Grebogi

Physics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1459-1463
Number of pages	5
Journal	International Journal of Bifurcation and Chaos
Volume	9
Issue number	7
Publication status	Published - Jul 1999

Keywords

TIME-SERIES
CHAOS
DYNAMICS
SYSTEMS

Cite this

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title = "Color map of Lyapunov exponents of invariant sets",

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.",

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author = "M Monti and Pardo, {W B} and Walkenstein, {J A} and E Rosa and C Grebogi",

year = "1999",

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language = "English",

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journal = "International Journal of Bifurcation and Chaos",

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T1 - Color map of Lyapunov exponents of invariant sets

AU - Monti, M

AU - Pardo, W B

AU - Walkenstein, J A

AU - Rosa, E

AU - Grebogi, C

PY - 1999/7

Y1 - 1999/7

N2 - 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.

AB - 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.

KW - TIME-SERIES

KW - CHAOS

KW - DYNAMICS

KW - SYSTEMS

M3 - Article

VL - 9

SP - 1459

EP - 1463

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 7

ER -

Color map of Lyapunov exponents of invariant sets

Abstract

Keywords

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