Structure, Coherence and Chaos in Dynamical Systems

Structure, Coherence and Chaos in Dynamical Systems PDF Author: Peter L. Christiansen
Publisher: Manchester University Press
ISBN: 9780719026102
Category : Chaotic behavior in systems
Languages : en
Pages : 702

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Book Description

Structure, Coherence and Chaos in Dynamical Systems

Structure, Coherence and Chaos in Dynamical Systems PDF Author: Peter L. Christiansen
Publisher: Manchester University Press
ISBN: 9780719026102
Category : Chaotic behavior in systems
Languages : en
Pages : 702

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Book Description


Turbulence, Coherent Structures, Dynamical Systems and Symmetry

Turbulence, Coherent Structures, Dynamical Systems and Symmetry PDF Author: Philip Holmes
Publisher: Cambridge University Press
ISBN: 1107008255
Category : Mathematics
Languages : en
Pages : 403

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Book Description
Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

Introduction to Chaos and Coherence

Introduction to Chaos and Coherence PDF Author: Jan Froyland
Publisher: Routledge
ISBN: 1351437186
Category : Science
Languages : en
Pages : 145

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Book Description
This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

An Introduction to Dynamical Systems and Chaos

An Introduction to Dynamical Systems and Chaos PDF Author: G. C. Layek
Publisher: Springer Nature
ISBN: 9819976952
Category :
Languages : en
Pages : 701

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Book Description


Introduction to Chaos and Coherence

Introduction to Chaos and Coherence PDF Author: J. Froyland
Publisher: CRC Press
ISBN: 9781138458185
Category : Chaotic behavior in systems
Languages : en
Pages : 144

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Book Description
This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.

Dynamical Chaos

Dynamical Chaos PDF Author: Vadim Semenovich Anishchenko
Publisher: World Scientific
ISBN: 9789810221423
Category : Science
Languages : en
Pages : 410

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Book Description
In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.

Ergodic Theory, Open Dynamics, and Coherent Structures

Ergodic Theory, Open Dynamics, and Coherent Structures PDF Author: Wael Bahsoun
Publisher: Springer Science & Business
ISBN: 1493904191
Category : Mathematics
Languages : en
Pages : 240

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Book Description
This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, numerical dynamical systems, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics. The volume will serve as a valuable reference for mathematicians, physicists, engineers, biologists and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open or non-equilibrium behavior.

Chaos in Discrete Dynamical Systems

Chaos in Discrete Dynamical Systems PDF Author: Ralph Abraham
Publisher: Springer Science & Business Media
ISBN: 9780387943008
Category : Computers
Languages : en
Pages : 282

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Book Description
Chaos Theory is a synonym for dynamical systems theory, a branch of mathematics. Dynamical systems come in three flavors: flows (continuous dynamical systems), cascades (discrete, reversible, dynamical systems), and semi-cascades (discrete, irreversible, dynamical systems). Flows and semi-cascades are the classical systems iuntroduced by Poincare a centry ago, and are the subject of the extensively illustrated book: "Dynamics: The Geometry of Behavior," Addison-Wesley 1992 authored by Ralph Abraham and Shaw. Semi- cascades, also know as iterated function systems, are a recent innovation, and have been well-studied only in one dimension (the simplest case) since about 1950. The two-dimensional case is the current frontier of research. And from the computer graphcis of the leading researcher come astonishing views of the new landscape, such as the Julia and Mandelbrot sets in the beautiful books by Heinz-Otto Peigen and his co-workers. Now, the new theory of critical curves developed by Mira and his students and Toulouse provide a unique opportunity to explain the basic concepts of the theory of chaos and bifurcations for discete dynamical systems in two-dimensions. The materials in the book and on the accompanying disc are not solely developed only with the researcher and professional in mind, but also with consideration for the student. The book is replete with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-color animations that are tied directly into the subject matter of the book, itself. In addition, much of this material has also been class-tested by the authors. The cross-platform CD also contains a software program called ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided which give the reader the option of working directly with the code from which the graphcs in the book were

Frontiers In Turbulence And Coherent Structures - Proceedings Of The Cosnet/csiro Workshop On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media

Frontiers In Turbulence And Coherent Structures - Proceedings Of The Cosnet/csiro Workshop On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media PDF Author: Jim Denier
Publisher: World Scientific
ISBN: 9814476455
Category : Science
Languages : en
Pages : 501

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Book Description
This book is based on the proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures held at the Australian National University in Canberra in January 2006.It codifies recent developments in our understanding of the dynamics and statistical dynamics of turbulence and coherent structures in fluid mechanics, atmospheric and oceanic dynamics, plasma physics, and dynamical systems theory. It brings together articles by internationally acclaimed researchers from around the world including Dijkstra (Utrecht), Holmes (Princeton), Jimenez (UPM and Stanford), Krommes (Princeton), McComb (Edinburgh), Chong (Melbourne), Dewar (ANU), Watmuff (RMIT) and Frederiksen (CSIRO).The book will prove a useful resource for researchers as well as providing an excellent reference for graduate students working in this frontier area.

Advances in Dynamics, Optimization and Computation

Advances in Dynamics, Optimization and Computation PDF Author: Oliver Junge
Publisher: Springer Nature
ISBN: 3030512649
Category : Technology & Engineering
Languages : en
Pages : 402

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Book Description
This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.