Noise In Nonlinear Dynamical Systems Volume 1 Theory Of Continuous Fokker Planck Systems
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Author | : Frank Moss |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 1989-04-06 |
Genre | : Science |
ISBN | : 9780521352284 |
Download Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems Book in PDF, Epub and Kindle
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.
Author | : Frank Moss |
Publisher | : Cambridge University Press |
Total Pages | : 374 |
Release | : 1989-04-06 |
Genre | : Mathematics |
ISBN | : 0521352282 |
Download Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems Book in PDF, Epub and Kindle
Vol. 1.
Author | : Frank Moss |
Publisher | : Cambridge University Press |
Total Pages | : 298 |
Release | : 1989-04-06 |
Genre | : Mathematics |
ISBN | : 0521352657 |
Download Noise in Nonlinear Dynamical Systems Book in PDF, Epub and Kindle
A specially written review of all areas of noise and nonlinear in natural environments.
Author | : Frank Moss |
Publisher | : Cambridge University Press |
Total Pages | : 410 |
Release | : 1989-04-06 |
Genre | : Mathematics |
ISBN | : 0521352290 |
Download Noise in Nonlinear Dynamical Systems Book in PDF, Epub and Kindle
A specially written review of all areas of noise and nonlinear in natural environments.
Author | : Frank Moss |
Publisher | : Cambridge University Press |
Total Pages | : 408 |
Release | : 2009-08-20 |
Genre | : Science |
ISBN | : 9780521118521 |
Download Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications Book in PDF, Epub and Kindle
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.
Author | : Frank Moss |
Publisher | : Cambridge University Press |
Total Pages | : 426 |
Release | : 1989 |
Genre | : Science |
ISBN | : 9780521352291 |
Download Noise in Nonlinear Dynamical Systems Book in PDF, Epub and Kindle
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.
Author | : Frank Moss |
Publisher | : |
Total Pages | : 1077 |
Release | : 2011-03-03 |
Genre | : Science |
ISBN | : 9780521170857 |
Download Noise in Nonlinear Dynamical Systems Book in PDF, Epub and Kindle
Author | : Christian Soize |
Publisher | : World Scientific |
Total Pages | : 346 |
Release | : 1994 |
Genre | : Science |
ISBN | : 9789810217556 |
Download The Fokker-Planck Equation for Stochastic Dynamical Systems and Its Explicit Steady State Solutions Book in PDF, Epub and Kindle
This is an analysis of multidimensional nonlinear dissipative Hamiltonian dynamical systems subjected to parametric and external stochastic excitations by the Fokker-Planck equation method.The author answers three types of questions concerning this area. First, what probabilistic tools are necessary for constructing a stochastic model and deriving the FKP equation for nonlinear stochastic dynamical systems? Secondly, what are the main results concerning the existence and uniqueness of an invariant measure and its associated stationary response? Finally, what is the class of multidimensional dynamical systems that have an explicit invariant measure and what are the fundamental examples for applications?
Author | : Hannes Risken |
Publisher | : Springer Science & Business Media |
Total Pages | : 486 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642615449 |
Download The Fokker-Planck Equation Book in PDF, Epub and Kindle
This is the first textbook to include the matrix continued-fraction method, which is very effective in dealing with simple Fokker-Planck equations having two variables. Other methods covered are the simulation method, the eigen-function expansion, numerical integration, and the variational method. Each solution is applied to the statistics of a simple laser model and to Brownian motion in potentials. The whole is rounded off with a supplement containing a short review of new material together with some recent references. This new study edition will prove to be very useful for graduate students in physics, chemical physics, and electrical engineering, as well as for research workers in these fields.
Author | : Valentin Afraimovich |
Publisher | : Springer Science & Business Media |
Total Pages | : 297 |
Release | : 2013-11-22 |
Genre | : Technology & Engineering |
ISBN | : 3319023535 |
Download Nonlinear Dynamics and Complexity Book in PDF, Epub and Kindle
This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.