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تعداد نتایج: 674

Theory of Chaos in a Space-time Perspective

By Peter Nijkamp, Aura Reggiani
1988
Pages: 32
Language: en
OTHER:OCLC:71427060

Applied Chaos Theory

A Paradigm for Complexity

$This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology Presents interdisciplinary applications of chaos theory to complex systems Emphasizes the meaning of mathematical equations rather than their derivations Features reader friendly presentation with many illustrations and interpretations Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text$

جزئیات و درخواست

By Ali Bulent Cambel
Publisher: Elsevier, 1993-01-25
Pages: 265
Language: en
ISBN_13:9780080571362
ISBN_10:0080571360
Subject: Mathematics

Space-time Dynamics, Spatial Competition and the Theory of Chaos

جزئیات و درخواست

By Peter Nijkamp, Aura Reggiani
1991
Pages: 37
Language: en
OTHER:OCLC:65463905

Introduction to Modern Dynamics

Chaos, Networks, Space and Time

جزئیات و درخواست

By D. D. Nolte
Publisher: Oxford University Press, USA, 2015
Pages: 449
Language: en
ISBN_13:9780199657032
ISBN_10:0199657033
Subject: Science

Space-time Chaos

Characterization, Control and Synchronization

جزئیات و درخواست

2001
Language: en
OTHER:OCLC:437119584

Space-time Chaos

Characterization, Control, and Synchronization : Pamplona, S...

جزئیات و درخواست

By Stefano Boccaletti
Publisher: World Scientific, 2001
Pages: 323
Language: en
ISBN_13:9789810245061
ISBN_10:9810245068
Subject: Science

Chaos and Harmony

Perspectives on Scientific Revolutions of the Twentieth Cent...

$For 300 years, Trinh Xuan Thuan writes, since the time of Isaac Newton, scientists saw reality as a giant clock--a sterile mechanism in which one part acts on another in a deterministic fashion. But the discoveries of the last few decades have changed all that, conjuring up instead a universe brimming with unpredictability, creativity, and chance. Writing with exceptional grace and clarity, Thuan vividly describes these important scientific discoveries, intriguing new theories about chaos, gravity, strange attractors, fractals, symmetry, superstrings, and the strangeness of atoms. Equally important, he reveals how these discoveries have shaped our view of the universe--for instance, how quantum mechanics brought indeterminism to the subatomic universe. Thuan deftly describes quantum mechanics, discusses its relationship to the theories of relativity (which deal inability to accept it. Indeed, throughout Chaos and Harmony, he makes clear as never before the mind-bending ideas of modern physics, such as the effect of gravity on time (it slows it down), the impossibility of crossing the speed-of-light barrier (it would actually reverse time), the role of fractals as "the language of nature," and the unreasonable effectiveness of mathematics in understanding the universe. From the subatomic world to the vast realm of quasars and galaxies, from the nature of mathematics to the fractal characteristics of the human circulatory system, Trinh Xuan Thuan takes us on a breathtaking tour of the universe. With striking examples and clear, plain language, he shows how science has actually restored mystery to the world around us--a world of symmetry and chaos, contingency and creativity.$

جزئیات و درخواست

By Xuan Thuan Trinh
2001
Pages: 392
Language: en
OTHER:UVA:X004469509
Subject: Science

Time Reversibility, Computer Simulation, Algorithms, Chaos (2nd Edition)

$A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the “reversibility paradox”, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and “chaos theory” or “nonlinear dynamics” has supplied a useful vocabulary and a set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green, Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme.The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory — fractals and Lyapunov instability — are fundamental to the approach.Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all.This expanded edition stresses and illustrates computer algorithms with many new worked-out examples, and includes considerable new material on shockwaves, Lyapunov instability and fluctuations.$

جزئیات و درخواست

By William Graham Hoover, Carol Griswold Hoover
Publisher: World Scientific, 2012-06-11
Pages: 426
Language: en
ISBN_13:9789814452977
ISBN_10:9814452971
Subject: Science

The Janus Point

A New Theory of Time

جزئیات و درخواست

By Julian Barbour
Publisher: Random House, 2020-12-03
Pages: 270
Language: en
ISBN_13:9781473548862
ISBN_10:1473548861
Subject: Science

Time Space and Things

جزئیات و درخواست

By Ridley
Publisher: Cambridge University Press, 1984-03-08
Pages: 192
Language: en
ISBN_10:0521262933
ISBN_13:9780521262934
Subject: Science

Handbook of Chaos Control

جزئیات و درخواست

By Eckehard Schöll, Heinz Georg Schuster
Publisher: John Wiley & Sons, 2008-09-08
Pages: 849
Language: en
ISBN_13:9783527622320
ISBN_10:3527622322
Subject: Science

Entropic Spacetime Theory

جزئیات و درخواست

By Jack Armel
Publisher: World Scientific, 1996
Pages: 130
Language: en
ISBN_13:9789810228422
ISBN_10:9810228422
Subject: Science

Fully Chaotic Maps and Broken Time Symmetry

جزئیات و درخواست

By Dean J. Driebe
Publisher: Springer Science & Business Media, 2013-04-17
Pages: 173
Language: en
ISBN_13:9789401716284
ISBN_10:9401716285
Subject: Science

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

Spatio-temporal Chaos & Vacuum Fluctuations Of Quantized Fields

جزئیات و درخواست

By Christian Beck
Publisher: World Scientific, 2002-04-29
Pages: 292
Language: en
ISBN_13:9789814489683
ISBN_10:9814489689
Subject: Science

From Chaos To Order: Methodologies, Perspectives And Applications

جزئیات و درخواست

By Guanrong Chen, Xiaoning Dong
Publisher: World Scientific, 1998-06-06
Pages: 777
Language: en
ISBN_13:9789814499293
ISBN_10:9814499293
Subject: Science

The Future of Complexity

Conceiving a Better Way to Understand Order and Chaos

جزئیات و درخواست

By Peter Baofu
Publisher: World Scientific, 2007
Pages: 322
Language: en
ISBN_13:9789812708984
ISBN_10:9812708987
Subject: Science

The Theory of Chaotic Attractors

جزئیات و درخواست

By Brian R. Hunt, Judy A. Kennedy, Tien-Yien Li, Helena E. Nusse
Publisher: Springer Science & Business Media, 2013-06-05
Pages: 522
Language: en
ISBN_13:9780387218304
ISBN_10:0387218300
Subject: Mathematics

Chaos

From Theory to Applications

جزئیات و درخواست

By A.A. Tsonis
Publisher: Springer Science & Business Media, 2012-12-06
Pages: 279
Language: en
ISBN_13:9781461533603
ISBN_10:1461533600
Subject: Science

Scale Relativity And Fractal Space-time: A New Approach To Unifying Relativity And Quantum Mechanics

$This book provides a comprehensive survey of the development of the theory of scale relativity and fractal space-time. It suggests an original solution to the disunified nature of the classical-quantum transition in physical systems, enabling the basis of quantum mechanics on the principle of relativity, provided this principle is extended to scale transformations of the reference system. In the framework of such a newly generalized relativity theory (including position, orientation, motion and now scale transformations), the fundamental laws of physics may be given a general form that unifies and thus goes beyond the classical and quantum regimes taken separately. A related concern of this book is the geometry of space-time, which is described as being fractal and nondifferentiable. It collects and organizes theoretical developments and applications in many fields, including physics, mathematics, astrophysics, cosmology and life sciences.$

جزئیات و درخواست

By Laurent Nottale
Publisher: World Scientific, 2011-06-17
Pages: 766
Language: en
ISBN_13:9781908977878
ISBN_10:1908977876
Subject: Science

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