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Turbulence, Coherent Structures, Dynamical Systems and Symmetry

Author : Philip Holmes
Publisher : Cambridge University Press
Page : 403 pages
File Size : 11,9 MB
Release : 2012-02-23
Category : Mathematics
ISBN : 1107008255

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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

Author : Jan Froyland
Publisher : Routledge
Page : 145 pages
File Size : 38,50 MB
Release : 2022-01-26
Category : Science
ISBN : 1351437186

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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.

Introduction to Chaos and Coherence

Author : J. Froyland
Publisher : CRC Press
Page : 144 pages
File Size : 25,99 MB
Release : 2019-10-02
Category : Chaotic behavior in systems
ISBN : 9781138458185

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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

Author : Vadim Semenovich Anishchenko
Publisher : World Scientific
Page : 410 pages
File Size : 35,43 MB
Release : 1995
Category : Science
ISBN : 9789810221423

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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

Author : Wael Bahsoun
Publisher : Springer Science & Business
Page : 240 pages
File Size : 40,22 MB
Release : 2014-05-02
Category : Mathematics
ISBN : 1493904191

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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.

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

Author : Jim Denier
Publisher : World Scientific
Page : 501 pages
File Size : 50,75 MB
Release : 2007-06-04
Category : Science
ISBN : 9814476455

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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

Author : Oliver Junge
Publisher : Springer Nature
Page : 402 pages
File Size : 26,84 MB
Release : 2020-07-20
Category : Technology & Engineering
ISBN : 3030512649

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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.

Coherence and Chaos in Extended Dynamical Systems

Author :
Publisher :
Page : 30 pages
File Size : 31,49 MB
Release : 1994
Category :
ISBN :

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Coherence, chaos, and pattern formation are characteristic elements of the nonequilibrium statistical mechanics controlling mesoscopic order and disorder in many-degree-of-freedom nonlinear dynamical systems. Competing length scales and/or time scales are the underlying microscopic driving forces for many of these aspects of ''complexity.'' We illustrate the basic concepts with some model examples of classical and quantum, ordered and disordered, nonlinear systems.