357 citations · 1.3k across the 53 of their papers we have counts for
18 papers · 1 filter
Transition to anomalous dynamics in a simple random map
Jin Yan, Moitrish Majumdar, Stefano Ruffo +3
The famous Bernoulli shift (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map…
Dynamical transitions and aging in the superdiffusive Pomeau-Manneville map
Samuel Brevitt, Rainer Klages
The Pomeau-Manneville map is a paradigmatic intermittent dynamical system exhibiting weak chaos and anomalous dynamics. In this paper we analyse the parameter dependence of superdi…
Anomalous diffusion in random dynamical systems
Y. Sato, R. Klages
Consider a chaotic dynamical system generating Brownian motion-like diffusion. Consider a second, non-chaotic system in which all particles localize. Let a particle experience a ra…
Weak chaos, infinite ergodic theory, and anomalous dynamics
Rainer Klages
This book chapter introduces to the concept of weak chaos, aspects of its ergodic theory description, and properties of the anomalous dynamics associated with it. In the first half…
A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics
L. Salari, L. Rondoni, C. Giberti +1
Analytically tractable dynamical systems exhibiting a whole range of normal and anomalous deterministic diffusion are rare. Here we introduce a simple non-chaotic model in terms of…
Diffusion in randomly perturbed dissipative dynamics
Christian S. Rodrigues, Aleksei V. Chechkin, Alessandro P. S. de Moura +2
Dynamical systems having many coexisting attractors present interesting properties from both fundamental theoretical and modelling points of view. When such dynamics is under bound…