Noise In Nonlinear Dynamical Systems
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Noise In Nonlinear Dynamical Systems
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Author : Frank Moss
language : en
Publisher: Cambridge University Press
Release Date : 1989-04-06
Noise In Nonlinear Dynamical Systems written by Frank Moss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-06 with Mathematics categories.
A specially written review of all areas of noise and nonlinear in natural environments.
Noise In Nonlinear Dynamical Systems Volume 1 Theory Of Continuous Fokker Planck Systems
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Author : Frank Moss
language : en
Publisher: Cambridge University Press
Release Date : 1989-04-06
Noise In Nonlinear Dynamical Systems Volume 1 Theory Of Continuous Fokker Planck Systems written by Frank Moss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-06 with Science categories.
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 2 Theory Of Noise Induced Processes In Special Applications
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Author : Frank Moss
language : en
Publisher: Cambridge University Press
Release Date : 2009-08-20
Noise In Nonlinear Dynamical Systems Volume 2 Theory Of Noise Induced Processes In Special Applications written by Frank Moss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-20 with Science categories.
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 Volume 1 Theory Of Continuous Fokker Planck Systems
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Author : Frank Moss
language : en
Publisher: Cambridge University Press
Release Date : 1989-04-06
Noise In Nonlinear Dynamical Systems Volume 1 Theory Of Continuous Fokker Planck Systems written by Frank Moss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-06 with Science categories.
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.
Modelling And Parameter Estimation Of Dynamic Systems
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Author : J.R. Raol
language : en
Publisher: IET
Release Date : 2004-08-13
Modelling And Parameter Estimation Of Dynamic Systems written by J.R. Raol and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-13 with Mathematics categories.
This book presents a detailed examination of the estimation techniques and modeling problems. The theory is furnished with several illustrations and computer programs to promote better understanding of system modeling and parameter estimation.
Nonlinear Dynamics Of Chaotic And Stochastic Systems
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Author : Vadim S. Anishchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-01-22
Nonlinear Dynamics Of Chaotic And Stochastic Systems written by Vadim S. Anishchenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-22 with Science categories.
Contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results. Despite the unified presentation of the subject, care has been taken to present the material in largely self-contained chapters.
Global Analysis Of Nonlinear Dynamics
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Author : Jian-Qiao Sun
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-01
Global Analysis Of Nonlinear Dynamics written by Jian-Qiao Sun and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-01 with Technology & Engineering categories.
Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.
Nonlinear Dynamics And Stochastic Mechanics
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Author : Wolfgang Kliemann
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Nonlinear Dynamics And Stochastic Mechanics written by Wolfgang Kliemann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.
Nonlinear Dynamical Systems Analysis For The Behavioral Sciences Using Real Data
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Author : Stephen J. Guastello
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Nonlinear Dynamical Systems Analysis For The Behavioral Sciences Using Real Data written by Stephen J. Guastello and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
Although its roots can be traced to the 19th century, progress in the study of nonlinear dynamical systems has taken off in the last 30 years. While pertinent source material exists, it is strewn about the literature in mathematics, physics, biology, economics, and psychology at varying levels of accessibility. A compendium research methods reflect
Digital Communications Using Chaos And Nonlinear Dynamics
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Author : Jia-Ming Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-22
Digital Communications Using Chaos And Nonlinear Dynamics written by Jia-Ming Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Science categories.
This book provides a summary of the research conducted at UCLA, Stanford University, and UCSD over the last ?ve years in the area of nonlinear dyn- ics and chaos as applied to digital communications. At ?rst blush, the term “chaotic communications” seems like an oxymoron; how could something as precise and deterministic as digital communications be chaotic? But as this book will demonstrate, the application of chaos and nonlinear dynamicstocommunicationsprovidesmanypromisingnewdirectionsinareas of coding, nonlinear optical communications, and ultra-wideband commu- cations. The eleven chapters of the book summarize many of the promising new approaches that have been developed, and point the way to new research directions in this ?eld. Digital communications techniques have been continuously developed and re?ned for the past ?fty years to the point where today they form the heart of a multi-hundred billion dollar per year industry employing hundreds of thousands of people on a worldwide basis. There is a continuing need for transmission and reception of digital signals at higher and higher data rates. There are a variety of physical limits that place an upper limit on these data rates, and so the question naturally arises: are there alternative communi- tion techniques that can overcome some of these limitations? Most digital communications today is carried out using electronic devices that are essentially “linear,” and linear system theory has been used to c- tinually re?ne their performance. In many cases, inherently nonlinear devices are linearized in order to achieve a certain level of linear system performance.