Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems

Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems

Author: Frank Moss

Publisher: Cambridge University Press

Published: 1989-04-06

Total Pages: 0

ISBN-13: 9780521352284

DOWNLOAD EBOOK

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.


Book Synopsis Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems

Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems

Author: Frank Moss

Publisher: Cambridge University Press

Published: 1989

Total Pages: 392

ISBN-13: 9780521352284

DOWNLOAD EBOOK

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.


Book Synopsis Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems

Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems

Author: Frank Moss

Publisher: Cambridge University Press

Published: 1989-04-06

Total Pages: 374

ISBN-13: 0521352282

DOWNLOAD EBOOK

Vol. 1.


Book Synopsis Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems: Volume 1, Theory of Continuous Fokker-Planck Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 1.

Noise in Nonlinear Dynamical Systems

Noise in Nonlinear Dynamical Systems

Author: Frank Moss

Publisher: Cambridge University Press

Published: 1989-04-06

Total Pages: 298

ISBN-13: 0521352657

DOWNLOAD EBOOK

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


Book Synopsis Noise in Nonlinear Dynamical Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specially written review of all areas of noise and nonlinear in natural environments.

Noise in Spatially Extended Systems

Noise in Spatially Extended Systems

Author: Jordi Garcia-Ojalvo

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 314

ISBN-13: 1461215366

DOWNLOAD EBOOK

Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.


Book Synopsis Noise in Spatially Extended Systems by : Jordi Garcia-Ojalvo

Download or read book Noise in Spatially Extended Systems written by Jordi Garcia-Ojalvo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

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

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

Author: Frank Moss

Publisher: Cambridge University Press

Published: 2009-08-20

Total Pages: 408

ISBN-13: 9780521118521

DOWNLOAD EBOOK

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.


Book Synopsis Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems: Volume 2, Theory of Noise Induced Processes in Special Applications written by Frank Moss and published by Cambridge University Press. This book was released on 2009-08-20 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noise in Nonlinear Dynamical Systems

Noise in Nonlinear Dynamical Systems

Author: Frank Moss

Publisher:

Published: 2011-03-03

Total Pages: 1077

ISBN-13: 9780521170857

DOWNLOAD EBOOK


Book Synopsis Noise in Nonlinear Dynamical Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by . This book was released on 2011-03-03 with total page 1077 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noise in Nonlinear Dynamical Systems

Noise in Nonlinear Dynamical Systems

Author: Frank Moss

Publisher: Cambridge University Press

Published: 1989-04-06

Total Pages: 410

ISBN-13: 0521352290

DOWNLOAD EBOOK

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


Book Synopsis Noise in Nonlinear Dynamical Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989-04-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: A specially written review of all areas of noise and nonlinear in natural environments.

Noise in Nonlinear Dynamical Systems

Noise in Nonlinear Dynamical Systems

Author: Frank Moss

Publisher: Cambridge University Press

Published: 1989

Total Pages: 426

ISBN-13: 9780521352291

DOWNLOAD EBOOK

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.


Book Synopsis Noise in Nonlinear Dynamical Systems by : Frank Moss

Download or read book Noise in Nonlinear Dynamical Systems written by Frank Moss and published by Cambridge University Press. This book was released on 1989 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fokker-Planck Equation

The Fokker-Planck Equation

Author: Hannes Risken

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 486

ISBN-13: 3642615449

DOWNLOAD EBOOK

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.


Book Synopsis The Fokker-Planck Equation by : Hannes Risken

Download or read book The Fokker-Planck Equation written by Hannes Risken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.