Noise in Nonlinear Dynamical Systems

doi:10.1017/CBO9780511897832

Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The third volume deals with experimental aspects of the study of noise in nonlinear dynamical systems. It covers noise-driven phenomena in superfluid helium, liquid crystals, lasers and optical bistability as well as the solution of stochastic equations by digital simulation and analogue experiment.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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List of contributors
pp ix-xii
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Preface
pp xiii-xiv
- By Frank Moss, University of Missouri at St Louis, P. V. E. McClintock, University of Lancaster
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Introduction to Volume 3
pp xv-xvi
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1 - The effects of colored quadratic noise on a turbulent transition in liquid He II
pp 1-21
- By J.T. Tough, The Ohio State University
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2 - Electrohydrodynamic instability of nematic liquid crystals: growth process and influence of noise
pp 22-76
- By S. Kai, Kyushu Institute of Technology
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3 - Suppression of electrohydrodynamic instabilities by external noise
pp 77-89
- By Helmut R. Brand, Kyushu University
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4 - Colored noise in dye laser fluctuations
pp 90-118
- By R. Roy, Georgia Institute of Technology, A. W. Yu, Georgia Institute of Technology, S. Zhu, Georgia Institute of Technology
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5 - Noisy dynamics in optically bistable systems
pp 119-158
- By E. Arimondo, Universita di Pisa, D. Hennequin, Universite de Lille I, P. Glorieux, Universite de Lille I
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6 - Use of an electronic model as a guideline in experiments on transient optical bistability
pp 159-188
- By W. Lange, Universität Hannover
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7 - Computer experiments in non-linear stochastic physics
pp 189-221
- By Riccardo Mannella, University of Lancaster
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8 - Analogue simulations of stochastic processes by means of minimum component electronic devices
pp 222-242
- By Leone Fronzoni, Universita' di Pisa
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9 - Analogue techniques for the study of problems in stochastic nonlinear dynamics
pp 243-274
- By P. V. E. McClintock, University of Lancaster, Frank Moss, University of Missouri at St Louis
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Index
pp 275-278
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Noise in Nonlinear Dynamical Systems

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

List of contributors
pp ix-xii

Preface
pp xiii-xiv

Introduction to Volume 3
pp xv-xvi

1 - The effects of colored quadratic noise on a turbulent transition in liquid He II
pp 1-21

2 - Electrohydrodynamic instability of nematic liquid crystals: growth process and influence of noise
pp 22-76

3 - Suppression of electrohydrodynamic instabilities by external noise
pp 77-89

4 - Colored noise in dye laser fluctuations
pp 90-118

5 - Noisy dynamics in optically bistable systems
pp 119-158

6 - Use of an electronic model as a guideline in experiments on transient optical bistability
pp 159-188

7 - Computer experiments in non-linear stochastic physics
pp 189-221

8 - Analogue simulations of stochastic processes by means of minimum component electronic devices
pp 222-242

9 - Analogue techniques for the study of problems in stochastic nonlinear dynamics
pp 243-274

Index
pp 275-278

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Noise in Nonlinear Dynamical Systems

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