Title of article
Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor
Author/Authors
Kuznetsov، نويسنده , , N.V. and Mokaev، نويسنده , , T.N. and Vasilyev، نويسنده , , P.A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
8
From page
1027
To page
1034
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 Rössler system is not known, Leonov formulated the following conjecture: Lyapunov dimension of Rössler 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 Rössler systems with standard parameters is checked numerically.
Keywords
Lyapunov dimension , strange attractor , R?ssler system , Lyapunov Exponent , Chaos , Leonov’s conjecture
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2014
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1538376
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