Noise Sustained Patterns

Book excerpt: Ch. 1. Introduction. 1.1. Stability theory revisited. 1.2. Instabilities and nonlinear events in everyday life. 1.3 Postscript -- ch. 2. Essentials. 2.1. Probabilistic and information theoretic measures. 2.2. Matrix manipulations. 2.3. Delay-differential equations. 2.4. The fluctuation-dissipation theorem. 2.5. The Fokker-Planck equation. 2.6. Numerical techniques for the simulation of stochastic equations. 2.7. Experimental aspects of generating noise. 2.8. Complex integration -- ch. 3. Noise induced temporal phenomena. 3.1. Escape from metastable states. 3.2. Stochastic resonance in bistable systems. 3.3. Postscript -- ch. 4. Adding spatial dimensions. 4.1. Spatiotemporal stochastic resonance. 4.2. Doubly stochastic resonance. 4.3. Spatial patterns. 4.4. Postscript -- ch. 5. Stochastic transport phenomena. 5.1. Noise-sustained structures in convectively unstable media. 5.2. Noise sustained front transmission. 5.3. Theory. 5.4. Noise enhanced wave propagation. 5.5. Stochastic ratchets and Brownian motors. 5.6. Postscript -- ch. 6. Sundry topics. 6.1. Minority game. 6.2. Traffic dynamics. 6.3. Dithering. 6.4. Noise in neural networks -- ch. 7. Afterthoughts