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تعداد نتایج: 346

The Topology of Chaos

Alice in Stretch and Squeezeland

$A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future. How does one model the dynamics of a system operating in a chaotic regime? Older tools such as estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions do not sufficiently answer this question. In a significant evolution of the field of Nonlinear Dynamics, The Topology of Chaos responds to the fundamental challenge of chaotic systems by introducing a new analysis method-Topological Analysis-which can be used to extract, from chaotic data, the topological signatures that determine the stretching and squeezing mechanisms which act on flows in phase space and are responsible for generating chaotic data. Beginning with an example of a laser that has been operated under conditions in which it behaved chaotically, the authors convey the methodology of Topological Analysis through detailed chapters on: * Discrete Dynamical Systems: Maps * Continuous Dynamical Systems: Flows * Topological Invariants * Branched Manifolds * The Topological Analysis Program * Fold Mechanisms * Tearing Mechanisms * Unfoldings * Symmetry * Flows in Higher Dimensions * A Program for Dynamical Systems Theory Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.$

جزئیات و درخواست

By Robert Gilmore, Marc Lefranc
Publisher: John Wiley & Sons, 2008-09-26
Pages: 518
Language: en
ISBN_13:9783527617326
ISBN_10:3527617329
Subject: Mathematics

Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday

جزئیات و درخواست

By Christophe Letellier, Robert Gilmore
Publisher: World Scientific, 2013-01-11
Pages: 362
Language: en
ISBN_13:9789814434874
ISBN_10:9814434876
Subject: Mathematics

Topology and Dynamics of Chaos

In Celebration of Robert Gilmore's 70th Birthday

جزئیات و درخواست

By Christophe Letellier
Publisher: World Scientific, 2013
Pages: 362
Language: en
ISBN_13:9789814434867
ISBN_10:9814434868
Subject: Science

Topology and Its Applications

جزئیات و درخواست

By William F. Basener
Publisher: John Wiley & Sons, 2013-06-12
Pages: 295
Language: en
ISBN_13:9781118626221
ISBN_10:1118626222
Subject: Mathematics

An Introduction to Dynamical Systems and Chaos

$The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.$

جزئیات و درخواست

By G.C. Layek
Publisher: Springer, 2015-12-01
Pages: 632
Language: en
ISBN_13:9788132225560
ISBN_10:8132225562
Subject: Mathematics

Linear Chaos

جزئیات و درخواست

By Karl-G. Grosse-Erdmann, Alfred Peris Manguillot
Publisher: Springer Science & Business Media, 2011-08-24
Pages: 391
Language: en
ISBN_13:9781447121701
ISBN_10:1447121708
Subject: Mathematics

Grundzuge der Mengenlehre

جزئیات و درخواست

By Felix Hausdorff
Publisher: American Mathematical Soc., 1978
Pages: 484
Language: de
ISBN_10:082840061X
ISBN_13:9780828400619
Subject: Mathematics

Let's Face Chaos Through Nonlinear Dynamics

Proceedings of "Let's Face Chaos Through Nonlinear Dynamics"...

جزئیات و درخواست

By Marko Robnik, Valery Romanovski
Publisher: American Institute of Physics, 2008-12-04
Pages: 390
Language: en
OTHER:UCSD:31822036967925
Subject: Computers

Computational Intelligence for Privacy and Security

جزئیات و درخواست

By David Elizondo, Agusti Solanas, Antoni Martinez-Balleste
Publisher: Springer Science & Business Media, 2012-01-13
Pages: 262
Language: en
ISBN_13:9783642252365
ISBN_10:3642252362
Subject: Computers

New Trends In Control Theory

جزئیات و درخواست

By Vladimir G Ivancevic, Tijana T Ivancevic
Publisher: World Scientific, 2012-11-27
Pages: 737
Language: en
ISBN_13:9789814425964
ISBN_10:9814425966
Subject: Mathematics

High-Dimensional Chaotic and Attractor Systems

A Comprehensive Introduction

جزئیات و درخواست

By Vladimir G. Ivancevic, Tijana T. Ivancevic
Publisher: Springer Science & Business Media, 2007-02-06
Pages: 711
Language: en
ISBN_13:9781402054563
ISBN_10:1402054564
Subject: Science

Braids and Dynamics

جزئیات و درخواست

By Jean-Luc Thiffeault
Publisher: Springer Nature, 2022-09-05
Pages: 147
Language: en
ISBN_13:9783031047909
ISBN_10:3031047907
Subject: Mathematics

Recent Progress in General Topology III

جزئیات و درخواست

By K.P. Hart, J. van Mill, P. Simon
Publisher: Springer Science & Business Media, 2013-12-11
Pages: 898
Language: en
ISBN_13:9789462390249
ISBN_10:946239024X
Subject: Mathematics

Topological Groups: Yesterday, Today, Tomorrow

جزئیات و درخواست

By Sidney A. Morris
Publisher: MDPI, 2018-09-27
Pages: 229
Language: en
ISBN_13:9783038422686
ISBN_10:3038422681
Subject: Mathematics

From Hamiltonian Chaos to Complex Systems

A Nonlinear Physics Approach

جزئیات و درخواست

By Xavier Leoncini, Marc Leonetti
Publisher: Springer Science & Business Media, 2013-07-14
Pages: 335
Language: en
ISBN_13:9781461469629
ISBN_10:1461469627
Subject: Technology & Engineering

Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics

$A valuable introduction for newcomers as well as an important reference and source of inspiration for established researchers, this book provides an up-to-date summary of central topics in the field of nonequilibrium statistical mechanics and dynamical systems theory.Understanding macroscopic properties of matter starting from microscopic chaos in the equations of motion of single atoms or molecules is a key problem in nonequilibrium statistical mechanics. Of particular interest both for theory and applications are transport processes such as diffusion, reaction, conduction and viscosity.Recent advances towards a deterministic theory of nonequilibrium statistical physics are summarized: Both Hamiltonian dynamical systems under nonequilibrium boundary conditions and non-Hamiltonian modelings of nonequilibrium steady states by using thermal reservoirs are considered. The surprising new results include transport coefficients that are fractal functions of control parameters, fundamental relations between transport coefficients and chaos quantities, and an understanding of nonequilibrium entropy production in terms of fractal measures and attractors.The theory is particularly useful for the description of many-particle systems with properties in-between conventional thermodynamics and nonlinear science, as they are frequently encountered on nanoscales.$

جزئیات و درخواست

By Rainer Klages
Publisher: World Scientific, 2007
Pages: 458
Language: en
ISBN_13:9789812565075
ISBN_10:9812565078
Subject: Science

Chaos, Order, and Patterns

جزئیات و درخواست

By Roberto Artuso, P. Cvitanovic, Giulio Casati
Publisher: Springer Science & Business Media, 2012-12-06
Pages: 286
Language: en
ISBN_13:9781475701722
ISBN_10:1475701721
Subject: Science

Vorstudien zur Topologie

Free PDF Free Epub

جزئیات و درخواست

By Johann Benedikt Listing
Publisher: Рипол Классик, 1848
Pages: 88
Language: de
OTHER:HARVARD:32044018845610
Subject: History

Mathematical Foundations of Computer Science 1998

23rd International Symposium, MFCS'98, Brno, Czech Republic,...

جزئیات و درخواست

By Lubos Brim, Jiri Zlatuska, Josef Gruska
Publisher: Springer Science & Business Media, 1998-08-12
Pages: 876
Language: en
ISBN_10:3540648275
ISBN_13:9783540648277
Subject: Computers

The Sense of Chaos

A Dynamical Theory of Narrative

جزئیات و درخواست

By Marcella Mahony Greening
1993
Pages: 856
Language: en
OTHER:UCAL:X51947
Subject: Literature

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