Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

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 …

Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

This work reviews the present position of and surveys future perspectives in the physics of
chaotic advection: the field that emerged three decades ago at the intersection of fluid …

This study develops a Multi-Objective Jellyfish Search (MOJS) algorithm to solve
engineering problems optimally with multiple objectives. Lévy flight, elite population, fixed …

In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

After a short excursion from the discovery of Brownian motion to the Richardson" law of four
thirds" in turbulent diffusion, the article introduces the Lévy flight superdiffusion as a self …

▪ Abstract This article reviews the transport properties of coherent vortices in rotating
barotropic flows. It is shown that vortices induce regular Lagrangian motion inside their …

The Fokker–Planck equation has been very useful for studying dynamic behavior of
stochastic differential equations driven by Gaussian noises. However, there are both …

Superdiffusive behavior, ie,〈 x2 (t)〉∼ t2ν, with ν> 1/2, is in general not completely
characterized by a unique exponent. We study some systems exhibiting strong anomalous …