Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specially written review of all areas of noise and nonlinear in natural environments.
Download or read book Noise in Nonlinear Dynamical Systems Volume 2 Theory of Noise Induced Processes in Special Applications written by Frank Moss and published by Cambridge University Press. This book was released on 2009-08-20 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 second volume applies the theory of Volume 1 to the calculation of the influence of noise in a variety of contexts. These include quantum mechanics, condensed matter, noise induced transitions, escape processes and transition probabilities, systems with periodic potentials, discrete nonlinear systems, symmetry-breaking transition, and optics.
Download or read book Noise in Nonlinear Dynamical Systems Vol 1 written by and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specially written review of all areas of noise and nonlinear in natural environments.
Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 second volume applies the theory of Volume 1 to the calculation of the influence of noise in a variety of contexts. These include quantum mechanics, condensed matter, noise induced transitions, escape processes and transition probabilities, systems with periodic potentials, discrete nonlinear systems, symmetry-breaking transition, and optics.
Download or read book Noise in Nonlinear Dynamical Systems Volume 1 Theory of Continuous Fokker Planck Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 1.
Download or read book Noise in Nonlinear Dynamical Systems Volume 1 Theory of Continuous Fokker Planck Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 first volume deals with the basic theory of stochastic nonlinear systems. It includes an historical overview of the origins of the field, chapters covering some developed theoretical techniques for the study of coloured noise, and the first English-language translation of the landmark 1933 paper by Pontriagin, Andronov and Vitt.
Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Noise in Nonlinear Dynamical Systems Volume 3 Experiments and Simulations written by Frank Moss and published by Cambridge University Press. This book was released on 2009-08-20 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Noise In Nonlinear Dynamical Systems Vol 3 Experiments And Simulations written by F. Moss and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Dynamics of Nonlinear Reaction Diffusion Equations with Small L vy Noise written by Arnaud Debussche and published by Springer. This book was released on 2013-10-01 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.
Download or read book Chaos in Systems with Noise written by Tomasz Kapitaniak and published by World Scientific. This book was released on 1990 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated. Problems are illustrated by mechanical examples. This revised and updated edition contains new sections on the summary of probability theory, homoclinic chaos, Melnikov method, routes to chaos, stabilization of period-doubling, and Hopf bifurcation by noise. Some chapters have been rewritten and new examples have been added.
Download or read book Noise and Chaos in Nonlinear Dynamical Systems written by Luigi A. Lugiato and published by . This book was released on 1990 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis of Weak Noise Perturbations on Nonlinear Dynamical Systems written by Da-Jie Yang and published by . This book was released on 1997 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noise and Chaos in Nonlinear Dynamical Systems written by F. Moss and published by Cambridge University Press. This book was released on 1990-04-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Noise and Chaos in Nonlinear Dynamical Systems written by F. Moss and published by Cambridge University Press. This book was released on 1990-04-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Dynamics and Statistics written by Alistair I. Mees and published by Springer Science & Business Media. This book was released on 2001-01-25 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in late 1998. The book's chapters present theory and methods topics by leading researchers in applied and theoretical nonlinear dynamics, statistics, probability, and systems theory. Features and topics: * disentangling uncertainty and error: the predictability of nonlinear systems * achieving good nonlinear models * delay reconstructions: dynamics vs. statistics * introduction to Monte Carlo Methods for Bayesian Data Analysis * latest results in extracting dynamical behavior via Markov Models * data compression, dynamics and stationarity Professionals, researchers, and advanced graduates in nonlinear dynamics, probability, optimization, and systems theory will find the book a useful resource and guide to current developments in the subject.
