Chaos and Complexity in Astrophysics

Chaos and Complexity in Astrophysics
Title Chaos and Complexity in Astrophysics PDF eBook
Author O. Regev
Publisher Cambridge University Press
Pages 492
Release 2006-03-23
Genre Mathematics
ISBN 9780521855341

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

Chaos in Astronomy

Chaos in Astronomy
Title Chaos in Astronomy PDF eBook
Author G. Contopoulos
Publisher Springer Science & Business Media
Pages 493
Release 2009-01-07
Genre Science
ISBN 3540758267

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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.

Nonlinear Dynamics and Chaos: Advances and Perspectives

Nonlinear Dynamics and Chaos: Advances and Perspectives
Title Nonlinear Dynamics and Chaos: Advances and Perspectives PDF eBook
Author Marco Thiel
Publisher Springer
Pages 300
Release 2010-05-17
Genre Science
ISBN 3642046290

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This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Galileo Unbound

Galileo Unbound
Title Galileo Unbound PDF eBook
Author David D. Nolte
Publisher Oxford University Press
Pages 384
Release 2018-07-12
Genre Science
ISBN 0192528505

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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.

Deep Simplicity

Deep Simplicity
Title Deep Simplicity PDF eBook
Author John Gribbin
Publisher Penguin UK
Pages 451
Release 2009-08-27
Genre Science
ISBN 0141042214

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'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.

Nonlinear Dynamics, Chaotic and Complex Systems

Nonlinear Dynamics, Chaotic and Complex Systems
Title Nonlinear Dynamics, Chaotic and Complex Systems PDF eBook
Author Eryk Infeld
Publisher Cambridge University Press
Pages 358
Release 1997-06-19
Genre Mathematics
ISBN 9780521582018

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The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.

Foundations of Complex-system Theories

Foundations of Complex-system Theories
Title Foundations of Complex-system Theories PDF eBook
Author Sunny Y. Auyang
Publisher Cambridge University Press
Pages 422
Release 1998
Genre Business & Economics
ISBN 9780521778268

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Analyzes approaches to the study of complexity in the physical, biological, and social sciences.