Chaotic Evolution And Strange Attractors
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Chaotic Evolution And Strange Attractors
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Author : David Ruelle
language : en
Publisher: Cambridge University Press
Release Date : 1989-09-07
Chaotic Evolution And Strange Attractors written by David Ruelle 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 1989-09-07 with Mathematics categories.
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex mathematics, yet provides a good understanding of the fundamentals. Professor Ruelle is one of the world's authorities on chaos and dynamical systems and his account here will be welcomed by scientists in physics, engineering, biology, chemistry and economics who encounter nonlinear systems in their research.
Chaotic Evolution And Strange Attractors
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Author : David Ruelle
language : en
Publisher:
Release Date : 1989
Chaotic Evolution And Strange Attractors written by David Ruelle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Chaotic Evolution And Strange Attractors
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Author : David Ruelle
language : en
Publisher:
Release Date : 1989
Chaotic Evolution And Strange Attractors written by David Ruelle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Chaotic behavior in systems categories.
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex mathematics, yet provides a good understanding of the fundamentals. Professor Ruelle is one of the world's authorities on chaos and dynamical systems and his account here will be welcomed by scientists in physics, engineering, biology, chemistry and economics who encounter nonlinear systems in their research.
Turbulence Strange Attractors And Chaos
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Author : David Ruelle
language : en
Publisher: World Scientific
Release Date : 1995
Turbulence Strange Attractors And Chaos written by David Ruelle and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.
The Topology Of Chaos
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Author : Robert Gilmore
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-26
The Topology Of Chaos written by Robert Gilmore 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 2008-09-26 with Mathematics categories.
A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on: * Discrete Dynamical Systems: Maps * Continuous Dynamical Systems: Flows * Topological Invariants * Branched Manifolds * The Topological Analysis Program * Fold Mechanisms * Tearing Mechanisms * Unfoldings * Symmetry * Flows in Higher Dimensions * A Program for Dynamical Systems Theory Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.
Strange Attractors
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Author : Jeffrey A. Carver
language : en
Publisher:
Release Date : 2019-04-25
Strange Attractors written by Jeffrey A. Carver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-25 with Fiction categories.
For John Bandicut, Earth is but a memory. Stranded outside the galaxy in a vast structure peopled by a thousand races, Bandicut finds unexpected friends-only to be caught up in a cascade of irresistible forces. Confronting an entity known as the boojum, Bandicut discovers that the Shipworld itself is in peril, and only he can intervene.
Elements Of Differentiable Dynamics And Bifurcation Theory
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Author : David Ruelle
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Elements Of Differentiable Dynamics And Bifurcation Theory written by David Ruelle and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
Reclaiming Cognition
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Author : Rafael E. Núñez
language : en
Publisher: Imprint Academic
Release Date : 1999
Reclaiming Cognition written by Rafael E. Núñez and has been published by Imprint Academic this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Brain categories.
Traditional cognitive science is Cartesian in the sense that it takes as fundamental the distinction between the mental and the physical, the mind and the world. This leads to the claim that cognition is representational and best explained using models derived from AI and computational theory. The authors depart radically from this model.
Turbulence Strange Attractors And Chaos
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Author : David Ruelle
language : en
Publisher: World Scientific
Release Date : 1995-09-28
Turbulence Strange Attractors And Chaos written by David Ruelle and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-28 with Science categories.
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader. The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc. A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution. Contents:On the Nature of TurbulenceBifurcation in the Presence of a Symmetry GroupThe Ergodic Theory of Axiom A FlowsMicroscopic Fluctuations and TurbulenceStrange AttractorsMeasures Describing a Turbulent FlowDo Turbulent Crystals Exist?Characteristic Exponents for a Viscous Fuid Subjected to Time Dependent ForcesBowen's Formula for the Hausdorff Dimension of Self-Similar SetsErgodic Theory of Chaos and Strange AttractorsLiapunov Exponents from Time SeriesFundamental Limitations for Estimating Dimensions and Lyapunov Exponents in Dynamical SystemsWhere can One Hope to Profitably Apply the Ideas of Chaos? Readership: Nonlinear scientists, researchers in fluid dynamics, mathematical physicists and mathematicians. keywords:Turbulence;Strange Attractor;Chaos;Chemical Oscillation;Ergodic Theory;Turbulent Crystal;Reaction-Diffusion;Hausdorff Dimension;Repeller;Resonance;Recurrence Plot
Chance And Chaos
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Author : David Ruelle
language : en
Publisher: Princeton University Press
Release Date : 2020-06-16
Chance And Chaos written by David Ruelle and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-16 with Mathematics categories.
How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle writes in the best French tradition: he has produced an authoritative and elegant book--a model of clarity, succinctness, and a humor bordering at times on the sardonic.