Lévy description of anomalous diffusion in dynamical systems

摘要: Anomalous diffusion properties, both enhanced and dispersive, are common to a broad spectrum of systems including dynamical systems. We review an approach based on Levy scale-invariant distributions describe transport in such introduce the basic ingredients that make useful describing anomalous behavior demonstrate applicability cases standard map, “egg-crate” potential novel one-dimensional iterated map which leads combined laminar-dispersive motion.