Color map of Lyapunov exponents of invariant sets

Authors
Monti, M Pardo, WB Walkenstein, JA Rosa, E Grebogi, C
Citation
M. Monti et al., Color map of Lyapunov exponents of invariant sets, INT J B CH, 9(7), 1999, pp. 1459-1463
Citations number
26
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
9
Issue
7
Year of publication
1999
Pages
1459 - 1463
Database
ISI
SICI code
0218-1274(199907)9:7<1459:CMOLEO>2.0.ZU;2-T
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 the se maps corresponds to different values of the Lyapunov exponent and indica tes, in parameter space, the locations of different levels of chaos for the Lorenz system. Practical applications of these maps include moving in para meter space from place to place without leaving a region of specific behavi or of the system.