Color map of Lyapunov exponents of invariant sets

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1459-1463
Number of pages5
JournalInternational Journal of Bifurcation and Chaos
Volume9
Issue number7
Publication statusPublished - Jul 1999

Keywords

  • TIME-SERIES
  • CHAOS
  • DYNAMICS
  • SYSTEMS

Cite this

Monti, M., Pardo, W. B., Walkenstein, J. A., Rosa, E., & Grebogi, C. (1999). Color map of Lyapunov exponents of invariant sets. International Journal of Bifurcation and Chaos, 9(7), 1459-1463.