Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications

A specially written review of all areas of noise and nonlinear in natural environments.

Frank Moss (Edited by), P. V. E. McClintock (Edited by)

9780521118521, Cambridge University Press

Paperback, published 20 August 2009

408 pages
22.9 x 15.2 x 2.3 cm, 0.6 kg

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.

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.

Subject Areas: Nonlinear science [PBWR]