Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor

N.V. Kuznetsov, T.N. Mokaev, P.A. Vasilyev

Research output: Contribution to journalArticle

91 Scopus citations

Abstract

Exact Lyapunov dimension of attractors of many classical chaotic systems (such as Lorenz, Henon, and Chirikov systems) is obtained. While exact Lyapunov dimension for Rssler system is not known, Leonov formulated the following conjecture: Lyapunov dimension of Rssler attractor is equal to local Lyapunov dimension in one of its stationary points. In the present work Leonov's conjecture on Lyapunov dimension of various Rssler systems with standard parameters is checked numerically. (C) 2013 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1027-1034
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume19
Issue number4
DOIs
StatePublished - 2014

Fingerprint Dive into the research topics of 'Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor'. Together they form a unique fingerprint.

Cite this