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Noise Sustained Patterns : Fluctuations and Nonlinearities.
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 dynamica...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2003.
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| Colección: | World Scientific lecture notes in physics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.