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...

Full description

Saved in:
Bibliographic Details
Main Author: Loecher, Markus
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2003.
Series:World Scientific lecture notes in physics.
Subjects:
Online Access:Click for online access

MARC

LEADER 00000cam a2200000Mi 4500
001 ocn879023974
003 OCoLC
005 20241006213017.0
006 m o d
007 cr |n|---|||||
008 140501s2003 si ob 001 0 eng d
040 |a MHW  |b eng  |e pn  |c MHW  |d EBLCP  |d OCLCO  |d DEBSZ  |d OCLCQ  |d I9W  |d OCLCQ  |d ZCU  |d MERUC  |d U3W  |d OCLCO  |d OCLCF  |d ICG  |d INT  |d OCLCQ  |d DKC  |d AU@  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCL  |d SXB  |d OCLCQ 
019 |a 868641870  |a 1086520398 
020 |a 9789812795595 
020 |a 9812795596 
020 |z 9810246765 
020 |z 9789810246761 
035 |a (OCoLC)879023974  |z (OCoLC)868641870  |z (OCoLC)1086520398 
050 4 |a QC20.7.S8  |b L643 2003 
049 |a HCDD 
100 1 |a Loecher, Markus. 
245 1 0 |a Noise Sustained Patterns :  |b Fluctuations and Nonlinearities. 
260 |a Singapore :  |b World Scientific Publishing Company,  |c 2003. 
300 |a 1 online resource (252 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a World Scientific Lecture Notes in Physics 
588 0 |a Print version record. 
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 theor. 
504 |a Includes bibliographical references (pages 221-236) and index. 
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. 
650 0 |a Random noise theory. 
650 0 |a Stability. 
650 0 |a Stochastic processes. 
650 7 |a stability.  |2 aat 
650 7 |a Random noise theory  |2 fast 
650 7 |a Stability  |2 fast 
650 7 |a Stochastic processes  |2 fast 
758 |i has work:  |a Noise sustained patterns (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGm86BMhBHPb8qp7wFgcpq  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |z 9789810246761 
830 0 |a World Scientific lecture notes in physics. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1679680  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD