Noise in Nonlinear Dynamical Systems
Published on 6. April 1989
Book
Hardback
416 pages
978-0-521-35229-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 28 mm
Weight
719 gr
ISBN-13
978-0-521-35229-1 (9780521352291)
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Schweitzer Classification
Other editions
New editions
Frank Moss | P. V. E. McClintock
Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications
Volume 2, Theory of Noise Induced Processes in Special Applications
Book
08/2009
Cambridge University Press
€60.30
Shipment within 15-20 days
Additional editions
Frank Moss | P. V. E. McClintock
Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications
Volume 2, Theory of Noise Induced Processes in Special Applications
Book
08/2009
Cambridge University Press
€60.30
Shipment within 15-20 days
Complete work / Part of the work
Frank Moss | P. V. E. McClintock
Noise in Nonlinear Dynamical Systems 3 Volume Paperback Set
Book
03/2011
Cambridge University Press
€109.11
No shipping information available
Content
List of contributors; Preface; Introduction to volume two; 1. Stochastic processes in quantum mechanical settings Ronald F. Fox; 2. Self-diffusion in non-Markovian condensed-matter systems Toyonori Munakata; 3. Escape from the underdamped potential well M. Buttiker; 4. Effect of noise on discrete dynamical systems with multiple attractors Edgar Knobloch and Jeffrey B. Weiss; 5. Discrete dynamics perturbed by weak noise Peter Talkner and Peter Hanggi; 6. Bifurcation behaviour under modulated control parameters M. Lucke; 7. Period doubling bifurcations: what good are they? Kurt Wiesenfeld; 8. Noise-induced transitions Werner Horsthemke and Rene Lefever; 9. Mechanisms for noise-induced transitions in chemical systems Raymond Kapral and Edward Celarier; 10. State selection dynamics in symmetry-breaking transitions Dilip K. Kondepudi; 11. Noise in a ring-laser gyroscope K. Vogel, H. Risken and W. Schleich; 12. Control of noise and applications to optical systems L. A. Lugiato, G. Broggi, M. Merri and M. A. Pernigo; 13. Transition probabilities and spectral density of fluctuations of noise driven bistable systems M. I. Dykman, M. A. Krivoglaz and S. M. Soskin; Index.