Noise Sustained Patterns

Fluctuations And Nonlinearities

By: Markus Loecher

Write A Review

Hardcover | 8 December 2003

At a Glance

Hardcover
252 Pages

Dimensions(cm)
23.5 x 15.88 x 1.91

Hardcover

RRP $205.99

$185.75

10%OFF

or 4 interest-free payments of $46.44 with

Ships in 15 to 25 business days

This book investigates the impact of noise upon the emergence and sustenance of patterns. "Patterns" loosely refers to coherent spatial structures, including fronts, as well as temporal patterns. The crucial role of nonlinearities is highlighted and expanded upon in the context of dynamical system frameworks. The author's familiarity with chaos theory, statistical physics and nonlinear science is reflected in the highly interdisciplinary character of the text. Model equations and experiments taken from fluid dynamics, semiconductor devices, biophysics and statistical mechanics complement theoretical concepts. It should be of great value to researchers and graduate students who desire a quick introduction to the subject. Excursions into emerging fields such as traffic flow simulations and game theory serve to broaden the scope and to encourage the exploration of sundry topics.

Industry Reviews

.,." provides a good summary of the current literature on the impact of noise upon the emergence ad sustenance of patterns."

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Chaos Theory Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Engineering & Technology Other Technologies & Applied Sciences Booktopia Publisher Services World Scientific Publishing

Nonlinear Science Fluid Mechanics Applied Physics Biophysics

Preface	p. vii
Acknowledgements	p. ix
Introduction	p. 1
Stability theory revisited	p. 1
Noise and metastability	p. 1
Linear stability analysis	p. 6
Instabilities and nonlinear events in everyday life	p. 11
Arms race	p. 11
Distribution of wealth	p. 13
Front nucleation and propagation	p. 14
Supply chain dynamics	p. 16
A hodgepodge of mechanical instabilities	p. 21
Postscript	p. 24
Essentials	p. 25
Probabilistic and information theoretic measures	p. 25
Matrix manipulations	p. 27
Circulant matrices	p. 37
Singular value decomposition	p. 39
Delay-differential equations	p. 40
The fluctuation-dissipation theorem	p. 43
The Fokker-Planck equation	p. 45
Numerical techniques for the simulation of stochastic equations	p. 47
Experimental aspects of generating noise	p. 50
Complex integration	p. 52
Noise Induced Temporal Phenomena	p. 59
Escape from metastable states	p. 59
Stochastic resonance in bistable systems	p. 61
Double-well potential	p. 63
Two state theory	p. 68
The diode resonator	p. 71
The logistic map	p. 74
Postscript	p. 76
Adding Spatial Dimensions	p. 77
Spatiotemporal stochastic resonance	p. 77
Array enhancement	p. 78
Global vs. local dynamics	p. 83
Kink nucleation in a [phi superscript 4] model	p. 85
Kink nucleation in the experiment	p. 91
Decay rates and kink speeds	p. 92
Coupled maps	p. 95
Doubly stochastic resonance	p. 99
Spatial patterns	p. 102
Parametric surface waves	p. 105
Noise induced bistability of Faraday waves	p. 107
Granular flow	p. 109
Intermittent pattern switching	p. 115
Postscript	p. 117
Stochastic Transport Phenomena	p. 119
Noise-sustained structures in convectively unstable media	p. 119
The Ginzburg-Landau equation	p. 122
Unidirectionally coupled diode resonators	p. 124
Coupled maps	p. 127
Noise sustained front transmission	p. 129
Propagation failure in cardiac tissue	p. 137
Information theoretic measures revisited: ROC curves	p. 141
Theory	p. 147
The continuum limit	p. 148
Kink Brownian motion	p. 149
The Peierls-Nabarro potential	p. 151
Noise enhanced wave propagation	p. 152
Monostable noise enhanced propagation	p. 160
Stochastic ratchets and Brownian motors	p. 162
Postscript	p. 164
Sundry Topics	p. 167
Minority game	p. 167
The thermal minority game	p. 171
Traffic dynamics	p. 177
Time-continuous model	p. 178
Discrete time dynamics	p. 183
Dithering	p. 187
Noise in neural networks	p. 192
Afterthoughts	p. 197
Normal Matrices	p. 203
Integrating Colored-Noise, Coupled SDEs	p. 205
Exploiting symmetries of coupled differential equations	p. 207
Coupled Duffing oscillators	p. 210
Numerical Implementation of the FFT	p. 213
Absolute and Convective Instabilities	p. 217
Bibliography	p. 221
Index	p. 237
Table of Contents provided by Rittenhouse. All Rights Reserved.

Noise Sustained Patterns

Fluctuations And Nonlinearities

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Fluid Mechanics

High Order Methods and Applications in Computational Mechanics

Fluid Mechanics and Its Applications

Engineering Dynamics

Fluid Mechanics

9th Edition

Introductory Thermodynamics and Fluids Mechanics

Essential University Physics

Volume 1 & 2, 4th Global Edition

Fluid Mechanics

5th Edition - Fundamentals and Applications ISE

Hydraulics of Open Channel Flow

2nd Edition - An Introduction

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics

9th Edition

Computational Fluid Dynamics

4th Edition - A Practical Approach

Introduction to the Potential Theory for the Time-Dependent Stokes System

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Green Hydrogen in Energy Systems

A Computational Fluid Dynamics Approach

Aircraft Engineering Principles

Aircraft Engineering Principles

Applied Lubrication, Insulation, and Cooling Fluids for Electrical Power Systems

Elements of Heat Transfer, 2e

Stochastic Navier-Stokes Equations on Spheres and Spherical Shells

Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Analysis of Rotor Systems

Volume 1

Identification and Control in Rotor Systems

Volume 2

Slurry Erosion

Flow Phenomenon, Complexities, and Protection Methods

Computational Fluid Dynamics Modelling of Solid Fuel Co-Combustion

Africa Circular Economy Series

Chemical Engineering Fluid Mechanics

Thermophysical Properties of Fluids : An Introduction to Their Prediction

An Introduction to Their Prediction

Applications of Hybrid Nanofluids in Science and Engineering

Emerging Materials and Technologies

Applied Continuum Mechanics for Thermo-Fluids

This product is categorised by