Pattern formation outside of equilibrium

MC Cross, PC Hohenberg - Reviews of modern physics, 1993 - APS
A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

Nonlinear time sequence analysis

P Grassberger, T Schreiber… - International Journal of …, 1991 - World Scientific
We review several aspects of the analysis of time sequences, and concentrate on recent
methods using concepts from the theory of nonlinear dynamical systems. In particular, we …

Dissipative structures and weak turbulence

P Manneville - Chaos—The Interplay Between Stochastic and …, 2005 - Springer
We present a brief overview of the current understanding of temporal and spatio-temporal
chaos, both termed weak turbulence according to the context [1]. The process which allows …

[BOOK][B] Dynamical systems approach to turbulence

T Bohr, MH Jensen, G Paladin, A Vulpiani - 1998 - ui.adsabs.harvard.edu
Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

Pattern dynamics in spatiotemporal chaos: Pattern selection, diffusion of defect and pattern competition intermettency

K Kaneko - Physica D: Nonlinear Phenomena, 1989 - Elsevier
A class of coupled map lattices is investigated as a model for the spatiotemporal chaos. As
the parameters are changed, phase transitions among the patterns are observed. Pattern …

[BOOK][B] Synchronization in oscillatory networks

GV Osipov, J Kurths, C Zhou - 2007 - books.google.com
This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

[BOOK][B] Chaos: from simple models to complex systems

A Vulpiani - 2010 - books.google.com
Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

[BOOK][B] Complex Systems: Chaos and Beyond: Chaos and Beyond: A Constructive Approach with Applications in Life Sciences

K Kaneko, I Tsuda - 2001 - books.google.com
Chaos in science has always been a fascinating realm since it challenges the usual
scientific approach of reductionism. While carefully distinguishing between complexity …

Spatiotemporal analysis of complex signals: theory and applications

N Aubry, R Guyonnet, R Lima - Journal of Statistical Physics, 1991 - Springer
We present a space-time description of regular and complex phenomena which consists of a
decomposition of a spatiotemporal signal into orthogonal temporal modes that we call …

Spatiotemporal chaos in one-and two-dimensional coupled map lattices

K Kaneko - Physica D: Nonlinear Phenomena, 1989 - Elsevier
Coupled map lattices are investigated as a model for spatiotemporal chaos. Pattern
dynamics in diffusively coupled logistic lattice is briefly reviewed with the use of power …