Entropy analysis of integer and fractional dynamical systems

J. A. Tenreiro machado (1)

1 Dept. of Electrical Engineering

This paper investigates the adoption of entropy for analyzing the dynamics of a multiple independent particles system. Several entropy definitions and types of particle dynamics with integer and fractional behavior are studied. The results reveal the adequacy of the entropy concept in the analysis of complex dynamical systems.

Mots clés: Fractional calculus; Entropy; Dynamics; Complex systems

J. A. Tenreiro machado. Entropy analysis of integer and fractional dynamical systems. Nonlinear Dynamics, 2010, 62 (1-2), pp.371-378. ⟨10.1007/s11071-010-9724-4⟩. ⟨hal-00589727⟩