Order and Chaos in Dynamical Astronomy

This book is one of the first to provide a general overview of order and chaos in dynamical astronomy.

Order and Chaos in Dynamical Astronomy

Author: George Contopoulos

Publisher: Springer Science & Business Media

ISBN: 3662049171

Page: 624

View: 488

This book is one of the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos has a profound impact on galactic dynamics. It has even invaded celestial mechanics, since chaos was found in the solar system which in the past was considered as a prototype of order. The book provides a unifying approach to these topics from an author who has spent more than 50 years of research in the field. The first part treats order and chaos in general. The other two parts deal with order and chaos in galaxies and with other applications in dynamical astronomy, ranging from celestial mechanics to general relativity and cosmology.

Chaos in Astronomy

Chaos. in. the. Mergers. of. Galaxies. P.O. Vandervoort Department of Astronomy
and Astrophysics, The University of ... It concludes with the formulation of a
conjecture regarding chaotic decay of stationary oscillations in galaxies formed
by ...

Chaos in Astronomy

Author: G. Contopoulos

Publisher: Springer Science & Business Media

ISBN: 3540758267

Page: 497

View: 881

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.

Popular Astronomy

The “ chaos ” of the Greeks — the rude and formless materials , subject to no law
, out of which all things were formed by the creative power - corresponds in a
striking manner to the nebulous masses of modern astronomy . These old ideas
of ...

Popular Astronomy

Author: Simon Newcomb

Publisher:

ISBN:

Page: 566

View: 267

Mosaic

There also is a route to chaos that applies to problems such as that of Henon and
Heiles, in which the energy, described by a mathematical ... Wisdom has found
that when an asteroid has such a special period, chaotic A S T R O N O M Y F.

Mosaic

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New Scientist

Chaos is beautiful. The pattern generated by the chaotic dynamics comes from a
formula by I. Gumowski and C. Mira. ... but he was also aware of the potential
importance of studying chaotic motion in other fields, especially in astronomy.

New Scientist

Author:

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ISBN:

Page: 116

View: 482

New Scientist magazine was launched in 1956 "for all those men and women who are interested in scientific discovery, and in its industrial, commercial and social consequences". The brand's mission is no different today - for its consumers, New Scientist reports, explores and interprets the results of human endeavour set in the context of society and culture.

Soviet Astronomy

Chaotic motion and structure of the direction field in the Hénon - Heiles model T .
A . Agekyan , A . A . Myullyari , and V . V ... Zh . 69 , 469 - 478 ( May - June 1992 )
The transition from regularity to chaos is investigated using the Hénon - Heiles ...

Soviet Astronomy

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Chaos

Astronomy At the time when S . wrote his Chaos - manuscript , most astronomers
and mathematicians accepted the Copernican world system , where the Sun is at
rest at the centre of the universe and the Earth rotates in its daily motion and ...

Chaos

Author: Nicolaus Steno

Publisher: Danish National Library of Sciences and Medicine

ISBN:

Page: 520

View: 337

The Romance of Astronomy

Chaos umpire sits , And by decision more embroils the fray By which he reigns :
next him , high arbiter , Chance governs all . ” But the Spirit of God moves upon
the face of the waters , and the first elements of order begin to emerge from ...

The Romance of Astronomy

Author: Robert Kalley Miller

Publisher:

ISBN:

Page: 146

View: 205

From Cosmos to Chaos

Looks at the role of probability in modern science. Using the developments in fundamental physics as examples, this book shows how central is the need to deal with uncertainty and incomplete knowledge.

From Cosmos to Chaos

Author: Peter Coles

Publisher: Oxford University Press on Demand

ISBN: 0198567626

Page: 216

View: 424

Looks at the role of probability in modern science. Using the developments in fundamental physics as examples, this book shows how central is the need to deal with uncertainty and incomplete knowledge. It also covers developments in physics, such as superstrings and dark energy, and draws lessons for everyday life.

Progress of Astronomy

It is quite natural , therefore , that scholars should again turn their attention to the
chaos from which the stars were born , and that , with the aid of the knowledge
gained during the last century , they should undertake to submit the current ...

Progress of Astronomy

Author:

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Quantum Signatures of Chaos

Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

Quantum Signatures of Chaos

Author: Fritz Haake

Publisher: Springer Science & Business Media

ISBN: 9783540677239

Page: 479

View: 872

This textbook provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.

Australian Journal of Astronomy

3 DETERMINISTIC CHAOS Very simple systems can sometimes display very
complex erratic behaviour . This behaviour is known as ' deterministic chaos ' , or
just ' chaos ' . The unfolding discovery of chaos over the last century , and ...

Australian Journal of Astronomy

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Adventures in Order and Chaos

Thus, I decided to write this book, which contains my experiences over the years. I hope that this book may be helpful to astronomy students all over the world.

Adventures in Order and Chaos

Author: George Contopoulos

Publisher: Springer Science & Business Media

ISBN: 1402030401

Page: 200

View: 538

For many years I was organizing a weekly seminar on dynamical astronomy, and I used to make some historical remarks on every subject, including some anecdotes from my contacts with many leading scientists over the years. I described also the development of various subjects and the emergence of new ideasindynamicalastronomy. Thenseveralpeoplepromptedmetowritedown these remarks, which cannot be found in papers, or books. Thus, I decided to write this book, which contains my experiences over the years. I hope that this book may be helpful to astronomy students all over the world. During my many years of teaching, as a visiting professor, in American Universities (1962-1994, Yale, Harvard, MIT, Cornell, Chicago, Maryland and Florida) I was impressed by the quality of my graduate students. Most of them were very bright, asking penetrating questions, and preparing their homework in a perfect way. In a few cases, instead of a ?nal examination, I assigned to them some small research projects and they presented their results at the end of the course. They were excellent in preparing the appropriate slides and in presenting their results in a concise and clear way.

Nonlinear Dynamics in Astronomy and Physics

EVIDENCE FOR CHAOS AND CHAOTIC MIXING Chaos in Galaxies The
Inevitability of Chaos High - resolution observations of galaxies over the past
decade or so have provided compelling evidence that many galaxies are more
irregularly ...

Nonlinear Dynamics in Astronomy and Physics

Author: Henry E. Kandrup

Publisher:

ISBN:

Page: 334

View: 592

This volume, the proceedings of the 16th Florida Workshop in Nonlinear Astronomy and Physics, emphasizes the cross-disciplinary nature of much current research in astronomy and physics in the area of dynamics. Developments in one field can advance more quickly when there is information available regarding parallel developments in other fields.

Complex Systems Chaos and Beyond

While maintaining a high level of rigour, an overly complicated mathematical apparatus is avoided in order to make this book accessible, beyond the specialist level, to a wider interdisciplinary readership.

Complex Systems  Chaos and Beyond

Author: Kunihiko Kaneko

Publisher: Springer Science & Business Media

ISBN: 9783540672029

Page: 273

View: 879

Chaos in science has always been a fascinating realm since it challenges the usual scientific approach of reductionism. While carefully distinguishing between complexity, holism, randomness, incompleteness, nondeterminism and stochastic behaviour the authors show that, although many aspects of chaos have been phenomenologically understood, most of its defining principles are still difficult to grasp and formulate. Demonstrating that chaos escapes all traditional methods of description, the authors set out to find new methods to deal with this phenomenon and illustrate their constructive approach with many examples from physics, biology and information technology. While maintaining a high level of rigour, an overly complicated mathematical apparatus is avoided in order to make this book accessible, beyond the specialist level, to a wider interdisciplinary readership.

Reviews in Modern Astronomy

Up to about 25 years ago , physicists used the term “ chaos ” to mean statistical
randomness in homogeneous , symmetric , unordered systems , in accordance
with Webster's definition . The prevailing point of view was that when such
systems ...

Reviews in Modern Astronomy

Author:

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Page: 332

View: 990

Chaotic Modelling and Simulation

Analysis of Chaotic Models, Attractors and Forms Christos H. Skiadas, Charilaos
Skiadas ... astronomy and astrophysics from recent developments (the
Conference on Chaos in Astronomy organized by George Contopoulos in 2002
was very ...

Chaotic Modelling and Simulation

Author: Christos H. Skiadas

Publisher: CRC Press

ISBN: 9781420079012

Page: 364

View: 620

Offers Both Standard and Novel Approaches for the Modeling of Systems Examines the Interesting Behavior of Particular Classes of Models Chaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models. Requiring little prior knowledge of mathematics, the book focuses on classical forms and attractors as well as new simulation methods and techniques. Ideas clearly progress from the most elementary to the most advanced. The authors cover deterministic, stochastic, logistic, Gaussian, delay, Hénon, Holmes, Lorenz, Rössler, and rotation models. They also look at chaotic analysis as a tool to design forms that appear in physical systems; simulate complicated and chaotic orbits and paths in the solar system; explore the Hénon–Heiles, Contopoulos, and Hamiltonian systems; and provide a compilation of interesting systems and variations of systems, including the very intriguing Lotka–Volterra system. Making a complex topic accessible through a visual and geometric style, this book should inspire new developments in the field of chaotic models and encourage more readers to become involved in this rapidly advancing area.