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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Loecher, Markus
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, N.J. : World Scientific, 2003.
Colección:World Scientific lecture notes in physics ; v. 70.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Loecher, Markus. 
245 1 0 |a Noise sustained patterns :  |b fluctuations and nonlinearities /  |c Markus Loecher. 
260 |a River Edge, N.J. :  |b World Scientific,  |c 2003. 
300 |a 1 online resource (xiii, 238 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a World Scientific lecture notes in physics ;  |v v. 70 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
505 0 |a 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. 
520 |a 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. 
546 |a English. 
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650 0 |a Stochastic processes. 
650 0 |a Random noise theory. 
650 0 |a Stability. 
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650 6 |a Processus stochastiques. 
650 6 |a Théorie du bruit aléatoire. 
650 6 |a Stabilité. 
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830 0 |a World Scientific lecture notes in physics ;  |v v. 70. 
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