ABSTRACT
Spatial disorder is usually analyzed employing methods of statistical physics (see, e.g., Ziman, 1979). Knowledge of standard characteristics such as spatial Fourier spectrum, correlation scale, and others enable us, in particular, to distinguish between short-and long-range order and to determine the size of domains
(a)
and orientation of the spins. But traditional approaches do not allow us to answer a natural question: Does pattern formation follow simple laws (rules) or is it random spatial distribution that can be analyzed only statistically? In other words, is spatial disorder of a deterministic origin and, if yes, then what are the properties of the dynamical system generating this disorder? For example, it appears reasonable to suppose that an absolutely random initial (handmade) structure of liquid surface at Benard-Marangoni convection (Figure 1(a)) evolves into a distinctive cellular structure (Figure 1(b)) according to the laws which have a dynamical (not a statistical) origin.
