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Nonlinear Physics of Complex Systems: Current Status and Future Trends

Jürgen Parisi, Stefan C. Müller, and Walter Zimmermann

Bounds for properties of complex systems.- Instability without instability?.- Spontaneous density fluctuations in granular flow and traffic.- Pattern selection as a nonlinear eigenvalue problem.- Conditional probability distributions of a turbulent cascade.- The couette-taylor flow: A paradigmatic system for instabilities, pattern formation and routes to chaos.- Instabilities in smectic films.- Why air bubbles in water glow so easily.- Competition of growth patterns in directed growth.- Asymptotic dynamics in directional solidification.- Chemical waves in media with complex anisotropy.- Experiments on excitation waves.- Localized turbulence and cellular structures in systems with global coupling.- Bifurcation theory of meandering spiral waves.- Future trends in synergetics.- Synergetic hardware concepts for self-organizing neural networks.- Nonlinear time series analysis - Potentials and limitations.- Time series analysis of scalar time-delay systems.- Control of chaos by self-adapted delayed feedback.- Mode analysis of the generalized rössler system.- Combinatorial optimization with coupled chemical reaction cells.- On superimposed dynamical multifractals.- The thermodynamics of random walks with applications to fractals and chaos.- Brownian rectifiers: How to convert brownian motion into directed transport.- Stochastics of pattern formation.- Dynamics in superconducting arrays of Josephson junctions.- Scanning probe microscopy of self-organized structure formation in semiconductor systems.- Impurity breakdown induced current filaments in n-GaAs.- Lattice-gas approach to collective transport phenomena in biological pattern formation.- Simulation of chemotaxis-equations in two space dimensions.- Dynamic instability and oscillations of microtubules.

GenresScience & MathPhysicsDynamicsMathematical Physics

408 pages

English edition · First published 2014 by Springer · ISBN 9783662140857

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