| 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 |
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