Noise in Nonlinear Dynamical Systems
Frank Moss, P. V. E. McClintock
Cambridge University Press, Apr 6, 1989 - Mathematics - 278 pages
Nature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The third volume deals with experimental aspects of the study of noise in nonlinear dynamical systems. It covers noise-driven phenomena in superfluid helium, liquid crystals, lasers and optical bistability as well as the solution of stochastic equations by digital simulation and analogue experiment.
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Suppression of electrohydrodynamic instabilities by external noise
Colored noise in dye laser fluctuations r roy a w yu
Noisy dynamics in optically bistable systems e arimondo
Use of an electronic model as a guideline in experiments
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algorithm amplitude analogue simulation Arecchi attractors behavior bifurcation bifurcation diagram Broggi Chapter chemical potential circuit colored noise control parameter convective correlation correlation functions Dangoisse defects density described Deserno deterministic device digital simulation distribution dye laser dynamics EHD instability electronic experimental experiments external noise Faetti fluctuations Fokker-Planck equation frequency Fronzoni function Gaussian Glorieux Grigolini Hanggi heat current Hirakawa Horsthemke Imasaki increased input integrator Langevin equation Lefever Lett liquid crystals Lugiato Mandel Mannella measured Mitschke mode modulation Moss and McClintock multiplicative noise noise intensity noise level noise-induced nonlinear observed obtained optical bistability oscillation phase Phys population inversion predictions present probability distribution pump noise regime Risken San Miguel Sancho saturable absorber scale Schenzle shown in Figure spatial steady stochastic differential equations stochastic processes Stratonovich superfluid superfluid turbulence switching theoretical theory threshold transient transition voltage vortex line white noise