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Chaos And Complexity In Astrophysics


Chaos And Complexity In Astrophysics
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Chaos And Complexity In Astrophysics


Chaos And Complexity In Astrophysics
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Author : O. Regev
language : en
Publisher: Cambridge University Press
Release Date : 2006-03-23

Chaos And Complexity In Astrophysics written by O. Regev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-23 with Mathematics categories.


A primer for researchers and graduate students; introduces and applies chaos techniques to specific astrophysical systems.



Chaos In Astronomy


Chaos In Astronomy
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Author : G. Contopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-07

Chaos In Astronomy written by G. Contopoulos 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 2009-01-07 with Science categories.


The conference 'Chaos in Astronomy' was held in Athens on 17-20 Sept. 2007. This book contains edited refereed contributions. It offers an overview to students and newcomers entering various fields of dynamical astronomy.



Deep Simplicity


Deep Simplicity
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Author : John Gribbin
language : en
Publisher: Penguin UK
Release Date : 2009-08-27

Deep Simplicity written by John Gribbin and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Science categories.


'Gribbin takes us through the basics with his customary talent for accessibility and clarity' Sunday Times The world around us can be a complex, confusing place. Earthquakes happen without warning, stock markets fluctuate, weather forecasters seldom seem to get it right - even other people continue to baffle us. How do we make sense of it all? In fact, John Gribbin reveals, our seemingly random universe is actually built on simple laws of cause and effect that can explain why, for example, just one vehicle braking can cause a traffic jam; why wild storms result from a slight atmospheric change; even how we evolved from the most basic materials. Like a zen painting, a fractal image or the pattern on a butterfly's wings, simple elements form the bedrock of a sophisticated whole. Synthesizing chaos and complexity theory for the perplexed, Deep Simplicity brilliantly illuminates the harmony underlying our existence.



Chaotic Universe Proceedings Of The Second Icra Network Workshop


Chaotic Universe Proceedings Of The Second Icra Network Workshop
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Author : Vahe G Gurzadyan
language : en
Publisher: World Scientific
Release Date : 2000-05-12

Chaotic Universe Proceedings Of The Second Icra Network Workshop written by Vahe G Gurzadyan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-12 with Science categories.


This unique volume is a collection of papers on various problems in astrophysics and cosmology — from planetary motion to the arrow of time — that are closely linked by the common spirit, technique and methodology of chaos.



Nonlinear Dynamics And Chaos


Nonlinear Dynamics And Chaos
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Author : Steven H. Strogatz
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Nonlinear Dynamics And Chaos written by Steven H. Strogatz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.


This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.



Galileo Unbound


Galileo Unbound
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Author : David D. Nolte
language : en
Publisher: Oxford University Press
Release Date : 2018-07-12

Galileo Unbound written by David D. Nolte and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-12 with Science categories.


Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once -- setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.



Chaos And Harmony


Chaos And Harmony
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Author : Xuan Thuan Trinh
language : en
Publisher:
Release Date : 2006

Chaos And Harmony written by Xuan Thuan Trinh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


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, an astronomer takes us on a breathtaking tour of the universe. 22 halftones. Line illustrations.



Cosmic Evolution


Cosmic Evolution
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Author : Eric J. Chaisson
language : en
Publisher: Harvard University Press
Release Date : 2002-10-15

Cosmic Evolution written by Eric J. Chaisson and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-15 with Science categories.


Chaisson addresses some of the most basic issues we can contemplate: the origin of matter and the origin of life, and the ways matter, life, and radiation interact and change with time. He designs for us an expansive yet intricate model depicting the origin and evolution of all material structures.



Measures Of Complexity And Chaos


Measures Of Complexity And Chaos
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Author : Neal B. Abraham
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Measures Of Complexity And Chaos written by Neal B. Abraham 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 2013-03-09 with Technology & Engineering categories.


This volume serves as a general introduction to the state of the art of quantitatively characterizing chaotic and turbulent behavior. It is the outgrowth of an international workshop on "Quantitative Measures of Dynamical Complexity and Chaos" held at Bryn Mawr College, June 22-24, 1989. The workshop was co-sponsored by the Naval Air Development Center in Warminster, PA and by the NATO Scientific Affairs Programme through its special program on Chaos and Complexity. Meetings on this subject have occurred regularly since the NATO workshop held in June 1983 at Haverford College only two kilometers distant from the site of this latest in the series. At that first meeting, organized by J. Gollub and H. Swinney, quantitative tests for nonlinear dynamics and chaotic behavior were debated and promoted [1). In the six years since, the methods for dimension, entropy and Lyapunov exponent calculations have been applied in many disciplines and the procedures have been refined. Since then it has been necessary to demonstrate quantitatively that a signal is chaotic rather than it being acceptable to observe that "it looks chaotic". Other related meetings have included the Pecos River Ranch meeting in September 1985 of G. Mayer Kress [2) and the reflective and forward looking gathering near Jerusalem organized by M. Shapiro and I. Procaccia in December 1986 [3). This meeting was proof that interest in measuring chaotic and turbulent signals is widespread.



Predictability Of Chaotic Dynamics


Predictability Of Chaotic Dynamics
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Author : Juan C. Vallejo
language : en
Publisher: Springer Nature
Release Date : 2019-10-25

Predictability Of Chaotic Dynamics written by Juan C. Vallejo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-25 with Science categories.


This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential.