Complex Entropic Forms for Gradient Pattern Analysis of Spatio-temporal Dynamics

Details Complex Entropic Forms for Gradient Pattern Analysis of Spatio-temporal Dynamics Complex Entropic Forms for Gradient Pattern Analysis of Spatio-temporal Dynamics

2000-03-25

arxiv.org/abs/cond-mat/0003411v1

Physics

Condensed Matter

9 pages, 3 figures

Scientific paper

10.1016/S0378-4371(00)00147-3

In this paper we describe two new computational operators, called complex entropic form (CEF) and generalized complex entropic form (GEF), for pattern characterization of spatially extended systems. Besides of being a measure of regularity, both operators permit to quantify the degree of phase disorder associated with a given gradient field. An application of CEF and GEF to the analysis of the gradient pattern dynamics of a logistic Coupled Map Lattice is presented. Simulations using a Gaussian and random initial condition, provide interesting insights on the the system gradual transition from order/symmetry to disorder/randomness.

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