A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

Typically, complex systems are natural or social systems which consist of a large number of
nonlinearly interacting elements. These systems are open, they interchange information or …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

We propose a description of normalized distributions (measures) lying upon possibly fractal
sets; for example those arising in dynamical systems theory. We focus upon the scaling …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

Fractals arise from a variety of sources and have been observed in nature and on computer
screens. One of the exceptional characteristics of fractals is that they can be described by a …

A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are
direct consequences of its fractional space-time structure and its phase space topology. The …

Multifractal phenomena in physics and chemistry Page 1 NATURE VOL. 335 29 SEPTEMBER
1988 REVIEW ARTICLE 495 Multifractal phenomena in physics and chemistry H. Eugene …

Anomalous scaling laws appear in a wide class of phenomena where global dilation
invariance fails. In this case, the description of scaling properties requires the introduction of …