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Noise in Nonlinear Dynamical Systems 3 Volume Paperback Set

Noise in Nonlinear Dynamical Systems 3 Volume Paperback Set

Noise in Nonlinear Dynamical Systems 3 Volume Paperback Set

Frank Moss
P. V. E McClintock
November 2011
Multiple copy pack
9780521170857
£87.99
GBP
Multiple copy pack
3 Paperback books

    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. Originally published in 1989, 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 major practitioners in the field.

    Product details

    November 2011
    Multiple copy pack
    9780521170857
    1077 pages
    230 × 150 × 65 mm
    1.7kg
    Temporarily unavailable - available from TBC

    Table of Contents

    • Volume 1: List of contributors
    • Preface
    • Introduction to volume one
    • 1. Noise-activated escape 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. Volume 2: 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. Volume 3: List of contributors
    • Preface
    • Introduction to volume three
    • 1. The effects of coloured quadratic noise on a turbulent transition in liquid He II J. T. Tough
    • 2. Electrohydrodynamic instability of nematic liquid crystals: growth process and influence of noise S. Kai
    • 3. Suppression of electrohydrodynamic instabilities by external noise Helmut R. Brand
    • 4. Coloured noise in dye laser fluctuations R. Roy, A. W. Yu and S. Zhu
    • 5. Noisy dynamics in optically bistable systems E. Arimondo, D. Hennequin and P. Glorieux
    • 6. Use of an electronic model as a guideline in experiments on transient optical bistability W. Lange
    • 7. Computer experiments in nonlinear stochastic physics Riccardo Mannella
    • 8. Analogue simulations of stochastic processes by means of minimum component electronic devices Leone Fronzoni
    • 9. Analogue techniques for the study of problems in stochastic nonlinear dynamics P. V. E. McClintock and Frank Moss
    • Index.
      Contributors
    • Rolf Landauer, R. L. Stratonovich, J. M. Sancho, M. San Miguel, Katja Lindenberg, Bruce J. West, Jaume Masoliver, Paolo Grigolini, H. Risken, H. D. Vollmer, Robert Graham, W. Ebeling, L. Schimansky-Geier, Peter Hanggi, L. Pontryagin, A. Andronov, A. Vitt, Ronald F. Fox, Toyonori Munakata, M. Buttiker, Edgar Knobloch, Jeffrey B. Weiss, Peter Talkner, Peter Hanggi, M. Lucke, Kurt Wiesenfeld, Werner Horsthemke, Rene Lefever, Raymond Kapral, Edward Celarier, Dilip K. Kondepudi, K. Vogel, H. Risken, W. Schleich, L. A. Lugiato, G. Broggi, M. Merri, M. A. Pernigo, M. I. Dykman, M. A. Krivoglaz, S. M. Soskin, J. T. Tough, S. Kai, Helmut R. Brand, R. Roy, A. W. Yu, S. Zhu, E. Arimondo, D. Hennequin, P. Glorieux, W. Lange, Riccardo Mannella, Leone Fronzoni, P. V. E. McClintock, Frank Moss