Noise in Nonlinear Dynamical Systems: Volume 1 - Brossura

Moss, Frank

 
9780521118507: Noise in Nonlinear Dynamical Systems: Volume 1

Sinossi

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

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Descrizione del libro

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.

Contenuti

List of contributors; Preface; Introduction to volume one; 1. Noise-activated wscape from metastable states: an historical view Rolf Landauer; 2. Some Markov methods in the theory of stochastic processes in non-linear dynamical systems R. L. Stratonovich; 3. Langevin equations with coloured noise J. M. Sancho and M. San Miguel; 4. First passage time problems for non-Markovian processes Katja Lindenberg, Bruce J. West and Jaume Masoliver; 5. The projection approach to the Fokker-Planck equation: applications to phenomenological stochastic equations with coloured noises Paolo Grigolini; 6. Methods for solving Fokker-Planck equations with applications to bistable and periodic potentials H. Risken and H. D. Vollmer; 7. Macroscopic potentials, bifurcations and noise in dissipative systems Robert Graham; 8. Transition phenomena in multidimensional systems - models of evolution W. Ebeling and L. Schimansky-Geier; 9. Coloured noise in continuous dynamical systems: a functional calculus approach Peter Hanggi; Appendix: On the statistical treatment of dynamical systems L. Pontryagin, A. Andronov and A. Vitt; Index.

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