ENTROPY OF CURVES FOR NONLINEAR SYSTEMS CLASSIFICATION

In this paper the concept of thermodynamics of curves is employed for the analysis of dynamic systems. More specifically, a new indicator based on an entropy measure allows to recover some information about the degree of irregularity of a curve. The proposed indicator was used to compare the evolution of trajectories in the state space and some of its properties seem very interesting for a study and a classification of nonlinear systems. Among its properties, the proposed indicator provides a finite value which does not depend on stability issues and it always provides a constant value when applied to linear systems. The proposed indicator was then tested in several benchmark problems, also for chaotic systems, to emphasize the theoretical expectations.