Non Linear Dynamics Near And Far From Equilibrium
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Non Linear Dynamics Near And Far From Equilibrium
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Author : J.K. Bhattacharjee
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-27
Non Linear Dynamics Near And Far From Equilibrium written by J.K. Bhattacharjee 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 2007-12-27 with Science categories.
We will be concerned mainly with systems with in?nite degrees of freedom which can however, be described by a few variables. These variables must necessarily be ?elds i. e. functions of space and time. A typical example would be to try to describethe?owofairaroundus. Thevariablesthatwouldbenecessarytodescribe the state of air would certainly be its density, its temperature and its velocity. All these variables (density, temperature and velocity) are, in general, functions of space and time. They are mesoscopic variables. They do not re?ect the variations occurring at the molecular level. To de?ne a density, it should be recalled, we take a small volume (small compared to the total system size, yet large compared to atomic dimensions) and consider the mass of this small volume. The ratio of mass tovolumeremainsconstantforareasonablylargevariationinthesizeofthevolume chosen and de?nes the density of the system. It fails to be a constant if the volume becomessosmallthatitcontainsonlyafewmolecules. Inthatcaseourdescription in terms of a density fails. All the systems that we will talk about can be described in terms of a coarse grained ?eld like the density. Because of the smallness (at the macroscopic level) of the volume used in de?ning density it can be considered a local variable. This is what makes it a ?eld. Similarly we can talk about the local temperature and local velocity. The local velocity is not the velocity of an individual molecule but the velocity associated with a macroscopically small, yet microscopicallylargevolumeofair.
Nonlinear Dynamics Near And Far From Equilibrium
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Author : Jayanta K. Bhattacharjee
language : en
Publisher:
Release Date : 2007
Nonlinear Dynamics Near And Far From Equilibrium written by Jayanta K. Bhattacharjee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Dynamics categories.
Nonlinear Dynamics Of Parkinson S Disease And The Basal Ganglia Thalamic Cortical System
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Author : Erwin B. Montgomery Jr.
language : en
Publisher: Elsevier
Release Date : 2023-06-20
Nonlinear Dynamics Of Parkinson S Disease And The Basal Ganglia Thalamic Cortical System written by Erwin B. Montgomery Jr. and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-20 with Medical categories.
Nonlinear Dynamics of Parkinson's Disease and the Basal Ganglia-Thalamic-Cortical System examines current research regarding the operations of the basal ganglia-thalamic-cortical system that causes neurological disorders like Parkinson's disease. While there have been remarkable advances in the understanding of the anatomy, physiology and chemistry of these systems, there remains a significant degree of inconsistency and incompleteness between facts and advancements. This book introduces the novel concepts of nonlinear complex systems and their connection to Parkinsonism as well as hyperkinetic disorders. The actual mechanisms underlying the motor disorders of Parkinson's disease at the level of the lower motor neuron are also discussed. - Outlines phenomenological selectivity of pallidotomy and Deep Brain Stimulation - Reviews the anatomical models of pathophysiology and physiology - Discusses the instrumental and analytical misrepresentations and the inferences that misrepresent the data in Nonmonotonic Nonlinear Dynamics
Nonlinear Dynamics In Geosciences
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Author : Anastasios A. Tsonis
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-23
Nonlinear Dynamics In Geosciences written by Anastasios A. Tsonis 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 2007-10-23 with Science categories.
This work comprises the proceedings of a conference held last year in Rhodes, Greece, to assess developments during the last 20 years in the field of nonlinear dynamics in geosciences. The volume has its own authority as part of the Aegean Conferences cycle, but it also brings together the most up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences, and discusses the advances made and the future directions of nonlinear dynamics.
Growth Theory Nonlinear Dynamics And Economic Modelling
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Author : William A. Brock
language : en
Publisher: Edward Elgar Publishing
Release Date : 2001-01-01
Growth Theory Nonlinear Dynamics And Economic Modelling written by William A. Brock and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Business & Economics categories.
'Buz Brock's contribution to economic theory in general and economic dynamics in particular are characterized by an unmatched richness of ideas and by deep theoretical, empirical as well as computational analysis. Brock's contribution to economic dynamics range from one extreme of the field, global stability of stochastic optimal growth models, to another extreme, market instability and nonlinearity in economic and financial modelling and data analysis. But his work also includes environmental and economic policy issues and, more recently, the modelling of markets as complex adaptive systems. This collection of essays reflects Brock's richness of ideas that have motivated economists for more than three decades already and will continue to influence many economists for the next decades to come.' - Cars H. Hommes, University of Amsterdam, The Netherlands 'Buz Brock has been, from the beginning of his career, one of the most original thinkers in dynamic economics. His early work showed that growth with random elements could be studied effectively and above all posed exactly the right questions. His more recent work has brought complexity theory to the fore and shown its implications for financial and other markets. In the process, he has both introduced and used econometric tools to show the relevance of his work to empirically observed phenomena. It is very useful to have his work in collected form.' - Kenneth J. Arrow, Stanford University, US This outstanding collection of William Brock's essays illustrates the power of dynamic modelling to shed light on the forces for stability and instability in economic systems. The articles selected reflect his best work and are indicative both of the type of policy problem that he finds challenging and the complex methodology that he uses to solve them. Also included is an introduction by Brock to his own work, which helps tie together the main aspects of his research to date.
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.
Nonlinear Dynamics Of Nanosystems
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Author : Günter Radons
language : en
Publisher: John Wiley & Sons
Release Date : 2010-01-12
Nonlinear Dynamics Of Nanosystems written by Günter Radons and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-12 with Technology & Engineering categories.
A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
Statistical Physics And Thermodynamics Of Nonlinear Nonequilibrium Systems
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Author : Wolfgang Muschik
language : en
Publisher: World Scientific
Release Date : 1993-03-27
Statistical Physics And Thermodynamics Of Nonlinear Nonequilibrium Systems written by Wolfgang Muschik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-27 with Science categories.
In these proceedings, it is shown that thermodynamical concepts are not ‘old fashioned’ but still are most useful at the frontiers of modern science. Among the contributors are well-known experts such as Andresen (Copenhagen), Eu (Montreal), Groβmann (Marburg), Kawasaki (Fuhuoha), Maugin (Paris), Nicolis (Bruxelles) and Szépfalusy (Budapest). The subject covers a wide field including: recent developments in phenomenological thermodynamics, statistical foundation of thermodynamical concepts, thermodynamical concepts in nonlinear dynamics, applications to nonlinear (neural) networks, stochastic theory and transition processes.
Nonlinear Dynamics Chaotic And Complex Systems
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Author : Eryk Infeld
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-19
Nonlinear Dynamics Chaotic And Complex Systems written by Eryk Infeld 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 1997-06-19 with Mathematics categories.
The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.
Nonlinear Dynamics
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Author : Marc R Roussel
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-05-01
Nonlinear Dynamics written by Marc R Roussel and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-01 with Science categories.
This book uses a hands-on approach to nonlinear dynamics using commonly available software, including the free dynamical systems software Xppaut, Matlab (or its free cousin, Octave) and the Maple symbolic algebra system. Detailed instructions for various common procedures, including bifurcation analysis using the version of AUTO embedded in Xppaut, are provided. This book also provides a survey that can be taught in a single academic term covering a greater variety of dynamical systems (discrete versus continuous time, finite versus infinite-dimensional, dissipative versus conservative) than is normally seen in introductory texts. Numerical computation and linear stability analysis are used as unifying themes throughout the book. Despite the emphasis on computer calculations, theory is not neglected, and fundamental concepts from the field of nonlinear dynamics such as solution maps and invariant manifolds are presented.