Theory And Applications Of Coupled Map Lattices
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Theory And Applications Of Coupled Map Lattices
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Author : K. Kaneko
language : en
Publisher:
Release Date : 1993-04-13
Theory And Applications Of Coupled Map Lattices written by K. Kaneko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-13 with Mathematics categories.
The technique of the coupled map lattice (CML) is a rapidly developing field in nonlinear dynamics at present. This book gives a fully illustrative overview of current research in the field. A CML is a dynamical system in which there is some interaction ('coupled') between continuous state elements, which evolve in discrete time ('map') and are distributed on a discrete space ('lattice'). This book investigates both the theoretical aspects and applications of CMLs to spatially extended systems in nonlinear dynamical systems.
Dynamics Of Coupled Map Lattices And Of Related Spatially Extended Systems
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Author : Jean-René Chazottes
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-06
Dynamics Of Coupled Map Lattices And Of Related Spatially Extended Systems written by Jean-René Chazottes 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 2005-07-06 with Science categories.
This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
Dynamics Of Coupled Map Lattices And Of Related Spatially Extended Systems
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Author : Jean-René Chazottes
language : en
Publisher: Springer
Release Date : 2009-09-02
Dynamics Of Coupled Map Lattices And Of Related Spatially Extended Systems written by Jean-René Chazottes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Science categories.
This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
Spatio Temporal Chaos And Vacuum Fluctuations Of Quantized Fields
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Author : Christian Beck
language : en
Publisher: World Scientific
Release Date : 2002
Spatio Temporal Chaos And Vacuum Fluctuations Of Quantized Fields written by Christian Beck and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.
"This book deals with new applications for coupled map lattices in quantum field theories and elementary particle physics"--P. xiii.
Topics In Nonlinear Dynamics
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Author : Erik Mosekilde
language : en
Publisher: World Scientific
Release Date : 2003-03-20
Topics In Nonlinear Dynamics written by Erik Mosekilde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-20 with Science categories.
Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.
From Finite To Infinite Dimensional Dynamical Systems
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Author : James Robinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-05-31
From Finite To Infinite Dimensional Dynamical Systems written by James Robinson 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 2001-05-31 with Mathematics categories.
Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 21 August-1 September 1995
Chaotic Oscillators
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Author : T Kapitaniak
language : en
Publisher: World Scientific
Release Date : 1992-11-30
Chaotic Oscillators written by T Kapitaniak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-30 with Medical categories.
This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection. Contents: Chaos before Chaos:Frequency Demultiplication (B Van der Pol & J Van der Mark)Description and Quantification of Chaotic Behavior:Geometry from a Time Series (N H Packard et al.)Analytical Methods:A Partial Differential Equation with Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam (P Holmes & J Marsden)Classical Nonlinear Oscillators: Duffing, Van der Pol and Pendulum:Universal Scaling Property in Bifurcation Structure of Duffing's and Generalized Duffing's Equations (S Sato et al.)Other Oscillatory Systems:Complex Dynamics of Compliant Off-Shore Structures (J M T Thompson)Chaos in Noisy Systems:Fluctuations and the Onset of Chaos (J P Crutchfield & B A Huberman)Strange Nonchaotic Attractors:Dimensions of Strange Nonchaotic Attractors (M Ding et al.)Spatial Chaos:Chaos as a Limit in a Boundary Value Problem (C Kahlert & O E Rössler)Fractal Basin Boundaries:Fractal Basin Boundaries and Homoclinic Orbit for Periodic Motion in a Two-Well Potential (F C Moon & G-H Li)and other papers Readership: Nonlinear scientists, applied mathematicians, engineers and physicists. keywords:
Long Time Behaviour Of Classical And Quantum Systems
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Author : Sandro Graffi
language : en
Publisher: World Scientific
Release Date : 2001
Long Time Behaviour Of Classical And Quantum Systems written by Sandro Graffi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.
Long Time Behaviour Of Classical And Quantum Systems Proceedings Of The Bologna Aptex International Conference
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Author : Sandro Graffi
language : en
Publisher: World Scientific
Release Date : 2001-04-02
Long Time Behaviour Of Classical And Quantum Systems Proceedings Of The Bologna Aptex International Conference written by Sandro Graffi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-02 with Science categories.
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.
Collective Dynamics Of Nonlinear And Disordered Systems
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Author : Günter Radons
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-02
Collective Dynamics Of Nonlinear And Disordered Systems written by Günter Radons 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 2005-11-02 with Science categories.
Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.