Panos PARDALOS
Department of Industrial and Systems Engineering,
University of Florida,
303 Weil Hall,
P.O. Box 116595,
Gainesville, FL 32611-6595,
USA
E-mail: pardalos@ufl.edu

Claudio CIFARELLI
Department of Statistic, Probability and Applied Statstics,
University of Rome "La Sapienza",
P.zza Aldo Moro 5,
00185 ITALY
E-mail: claudio.cifarelli@uniroma1.it

Estimation of Lyapunov Exponents for Control Dynamical Systems with Symmetry

Abstract:
In this paper we consider a system with symmetry  which can be described by a nonlinear model with control functions. For estimating Lyapunov exponents from nonlinear dynamics of control systems we propose a new algorithm. Attention is focussed on optimization methods for estimating tangent maps from experimental time series data. Our numerical tests show that the algorithm is robust and quite effective, and that its performance is comparable with other algorithms. We consider numerical and experimental data, and discuss computational aspects of the proposed algorithm.