Order And Chaos In Dynamical Astronomy

Author : George Contopoulos
Publisher : Springer Science & Business Media
Page : 633 pages
File Size : 50,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783662049174

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Order and Chaos in Dynamical Astronomy by George Contopoulos Pdf

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.

Author : George Contopoulos
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 55,8 Mb
Release : 2007-09-21
Category : Science
ISBN : 9781402030406

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Adventures in Order and Chaos by George Contopoulos Pdf

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.

Author : Alessandra Celletti
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 44,7 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783540851462

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Stability and Chaos in Celestial Mechanics by Alessandra Celletti Pdf

This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts – order, chaos, invariant curves and cantori – followed by the investigation of dynamical systems with numerical methods.

Author : Archie E. Roy,B.A. Steves
Publisher : Springer Science & Business Media
Page : 573 pages
File Size : 53,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781489910851

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From Newton to Chaos by Archie E. Roy,B.A. Steves Pdf

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d' Ampezzo, Italy, between July 25 and August 6, 1993, under the title From Newton to Chaos: Modem Techniques for Understanding and Coping With Chaos inN-Body Dynamical Systems. This institute was the latest in a series of meetings held every three years from 1972 to 1990 in dynamical astronomy, theoretical mechanics and celestial mechanics. The proceedings from these institutes have been well-received in the international community of research workers in these disciplines. The present institute was well attended with 15 series of lectures being given by invited speakers: in addition some 40 presentations were made by the other participants. The majority of these contributions are included in these proceedings. The all-pervading influence of chaos in dynamical systems (of even a few variables) has now been universally recognised by researchers, a recognition forced on us by our ability, using powerful computer hardware and software, to tackle dynamical problems that until twenty-five years ago were intractable. Doubtless it was felt by many that these new techniques provided a break-through in celestial mechanics and its related disciplines. And so they were.

Author : G. Contopoulos,P. A. Patsis
Publisher : Springer Science & Business Media
Page : 493 pages
File Size : 41,8 Mb
Release : 2009-01-07
Category : Science
ISBN : 9783540758266

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Chaos in Astronomy by G. Contopoulos,P. A. Patsis Pdf

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.

Author : Shu Tang Liu,Li Zhang
Publisher : Springer Nature
Page : 395 pages
File Size : 40,8 Mb
Release : 2022-03-03
Category : Technology & Engineering
ISBN : 9789811682292

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Surface Chaos and Its Applications by Shu Tang Liu,Li Zhang Pdf

This book addresses a special topic in the field of nonlinear dynamical systems, develops a new research direction of surface chaos and surface bifurcation. It provides a clear watershed for original nonlinear chaos and bifurcation research. The novel content of this book makes nonlinear system research more systematical and personalized. This book introduces the chaos and bifurcation behavior of surface dynamics in the sense of Li Yorke, the basic properties, Lyapunov exponent and Feigenbaum constant of nonlinear behavior of surface, and obtained the wave behavior of chaotic process in surface motion, the control of surface chaos and bifurcation, and the wide application of surface chaos in engineering technology. Through this book, readers can obtain more abundant and novel contents about surface chaos and surface bifurcation than the existing mixed fitting bifurcation of plane curve and space curve, which can also expand the realm and vision of research.

Author : B.A. Steves,A.J. Maciejewski,M. Hendry
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 42,6 Mb
Release : 2006-09-22
Category : Science
ISBN : 9781402047060

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Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems by B.A. Steves,A.J. Maciejewski,M. Hendry Pdf

Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.

Author : Archie E. Roy
Publisher : Springer Science & Business Media
Page : 581 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468459975

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Predictability, Stability, and Chaos in N-Body Dynamical Systems by Archie E. Roy Pdf

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and Chaos in N-Body Dynamical Systems". The Institute was the latest in a series held at three-yearly inter vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail.

Author : Daniel Benest,Claude Froeschle,Elena Lega
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 50,5 Mb
Release : 2008-01-02
Category : Science
ISBN : 9783540729839

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Topics in Gravitational Dynamics by Daniel Benest,Claude Froeschle,Elena Lega Pdf

This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through the Nekhoroshev theorem.

Author : Mikhail Ya Marov,Aleksander V. Kolesnichenko
Publisher : Springer Science & Business Media
Page : 682 pages
File Size : 50,6 Mb
Release : 2013-01-16
Category : Science
ISBN : 9781461451556

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Turbulence and Self-Organization by Mikhail Ya Marov,Aleksander V. Kolesnichenko Pdf

The book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution.

Author : Alessandra Celletti,Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 48,9 Mb
Release : 2007-02-02
Category : Science
ISBN : 9781402053252

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Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications by Alessandra Celletti,Sylvio Ferraz-Mello Pdf

The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.

Author : J.C. Muzzio,Sylvio Ferraz-Mello,Jacques Henrard
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400903074

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Chaos in Gravitational N-Body Systems by J.C. Muzzio,Sylvio Ferraz-Mello,Jacques Henrard Pdf

The Workshop on Chaos in Gravitational N -Body Systems was held in La Plata, Argentina, from July 31 through August 3, 1995. The School of Astronomy and Geophysics of La Plata National University, best known as La Plata Observatory, was the host institution. The Observatory (cover photo) was founded in 1883, and it has nowadays about 120 faculty members and 70 non-faculty members devoted to teaching and research in different areas of astronomy and geophysics. It was very nice to see how many people, from young students to well recognized authorities in the field, came to participate in the meeting. This audience success was due to the increasing understanding of the neces sity to gather together people from Celestial Mechanics and Stellar Dynamics to explore the problems that exist at the frontier of these two disciplines and their common interest in chaotic phenomena and integrability (the famous Argentine beef was, certainly, also an attraction!). All the papers of the present volume were refereed. Most were accepted after some revision, while some needed no change at all (compli ments to their authors!) and, sadly, a few could not be included. About half a dozen authors did not submit their contributions for publication, mainly because they were already in print elsewhere. Therefore, the special issue of Celestial Mechanics and Dynamical Astronomy includes all the invited lectures of the workshop, while the proceedings volume includes those same lectures plus the bulk of, but Bot all, the contributions to the meeting.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,8 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9789814499293

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From Chaos to Order by Anonim Pdf

Author : Jacques Henrard,Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401145275

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Impact of Modern Dynamics in Astronomy by Jacques Henrard,Sylvio Ferraz-Mello Pdf

Modem dynamics is increasingly participating in the solution of problems raised by as tronomical observations. This new relationship is being fostered on one side by the im provements in the observations, which in recent years contributed several discoveries of new systems, such as the objects in the Kuiper belt, the pulsar and star companions, to speak only of the most striking ones, and, on the other hand, by the progresses in modem dynamics. The progresses in modem dynamics are due to two factors: the dissemination of fast computers, allowing the numerical studies of very complex systems by a large number of scientists, and the improvement in our understanding of the complex behaviour of Hamiltonian systems. KAM and Nekhorochev theories have shed a light on the subtle and surprizing interplays between regular and chaotic motions; numerical experiments and analytical approximations have shown how these peculiarities are indeed present in astronomically important systems and are instrumental in understanding their formation and evolution.

Author : Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 46,8 Mb
Release : 1992-05-31
Category : Science
ISBN : 0792317823

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Chaos, Resonance and Collective Dynamical Phenomena in the Solar System by Sylvio Ferraz-Mello Pdf

This symposium was devoted to a new celestial mechanics whose aim has become the study of such `objects' as the planetary system, planetary rings, the asteroidal belt, meteor swarms, satellite systems, comet families, the zodiacal cloud, the preplanetary nebula, etc. When the three-body problem is considered instead of individual orbits we are, now, looking for the topology of extended regions of its phase space. This Symposium was one step in the effort to close the ties between two scientific families: the observationally-oriented scientists and the theoretically-oriented scientists.