Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor

Exact Lyapunov dimension of attractors of many classical chaotic systems (such as Lorenz, Henon, and Chirikov systems) is obtained. While exact Lyapunov dimension for Rossler system is not known, Leonov formulated the following conjecture: Lyapunov dimension of Rossler 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 Rossler systems with standard parameters is checked numerically.

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