Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1402047061
Total Pages : 342 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems by : B.A. Steves

Download or read book Chaotic Worlds: from Order to Disorder in Gravitational N-Body Dynamical Systems written by B.A. Steves and published by Springer Science & Business Media. This book was released on 2006-09-22 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Order to Disorder in Gravitational N-body Dynamical Systems ; Selected Papers from NATO Advanced Studies Institute on "Chaotic Worlds: from Order to Disorder in Gravitational N-body Dynamical Systems" Cortina D'Ampezzo (Italy), 8-20 September 2003

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Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (255 download)

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Book Synopsis From Order to Disorder in Gravitational N-body Dynamical Systems ; Selected Papers from NATO Advanced Studies Institute on "Chaotic Worlds: from Order to Disorder in Gravitational N-body Dynamical Systems" Cortina D'Ampezzo (Italy), 8-20 September 2003 by : Bonnie A. Steves

Download or read book From Order to Disorder in Gravitational N-body Dynamical Systems ; Selected Papers from NATO Advanced Studies Institute on "Chaotic Worlds: from Order to Disorder in Gravitational N-body Dynamical Systems" Cortina D'Ampezzo (Italy), 8-20 September 2003 written by Bonnie A. Steves and published by . This book was released on 2004 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

RAS Family GTPases

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Publisher : Springer
ISBN 13 : 9781402047084
Total Pages : 396 pages
Book Rating : 4.0/5 (47 download)

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Book Synopsis RAS Family GTPases by : Channing Der

Download or read book RAS Family GTPases written by Channing Der and published by Springer. This book was released on 2007-04-29 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1982, Ras proteins have been the subject of intense research investigation by the biomedical research community. The wide interest in Ras has been stimulated for three key reasons. This book features chapters contributed by leading investigators in the field that highlight the current state-of-the art in Ras biochemistry, structure and biology. This book is an excellent reference for students in the biomedical sciences and for investigators in the field.

Order and Chaos in Dynamical Astronomy

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Publisher : Springer Science & Business Media
ISBN 13 : 3662049171
Total Pages : 633 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Order and Chaos in Dynamical Astronomy by : George Contopoulos

Download or read book Order and Chaos in Dynamical Astronomy written by George Contopoulos and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaotic Dynamics in Planetary Systems

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Publisher : Springer Nature
ISBN 13 : 3031458168
Total Pages : 176 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Chaotic Dynamics in Planetary Systems by : Sylvio Ferraz-Mello

Download or read book Chaotic Dynamics in Planetary Systems written by Sylvio Ferraz-Mello and published by Springer Nature. This book was released on 2023-12-31 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems and their application to astronomical systems. It results from graduate courses given by the author over the years both at university and at several international summer schools. Along the book surfaces of section, Lyapunov characteristic exponents, frequency maps, MEGNO, dense grid maps, etc., are presented and discussed in connection with the applications. The initial chapter is devoted to the presentation of the main ideas of the chaotic dynamics of conservative systems in plain language so that they can be accessible to a wide range of professionals and students of physical sciences. The applications are mainly related to the motions in the solar system and extrasolar planetary systems. Another chapter is devoted to the applications to asteroids showing how the asteroidal belt is sculpted by chaos and resonances. The contrasting existence of gaps in the distribution of the asteroids and groups of asteroids in resonances is thoroughly discussed. The interest in applications to planetary systems is growing since the discovery of systems of resonant planets around some stars of the solar neighborhood. Exoplanets added a lot of cases to a problem that was before restricted to the planets of our solar system. The book includes an account of results already existing about compact systems.

Chaos in Gravitational N-Body Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400903073
Total Pages : 314 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Chaos in Gravitational N-Body Systems by : J.C. Muzzio

Download or read book Chaos in Gravitational N-Body Systems written by J.C. Muzzio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Newton to Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 1489910859
Total Pages : 573 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis From Newton to Chaos by : Archie E. Roy

Download or read book From Newton to Chaos written by Archie E. Roy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

In the Wake of Chaos

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Publisher : University of Chicago Press
ISBN 13 : 0226429822
Total Pages : 191 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis In the Wake of Chaos by : Stephen H. Kellert

Download or read book In the Wake of Chaos written by Stephen H. Kellert and published by University of Chicago Press. This book was released on 1994-10-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos theory has captured scientific and popular attention. What began as the discovery of randomness in simple physical systems has become a widespread fascination with "chaotic" models of everything from business cycles to brainwaves to heart attacks. But what exactly does this explosion of new research into chaotic phenomena mean for our understanding of the world? In this timely book, Stephen Kellert takes the first sustained look at the broad intellectual and philosophical questions raised by recent advances in chaos theory—its implications for science as a source of knowledge and for the very meaning of that knowledge itself.

Predictability, Stability, and Chaos in N-Body Dynamical Systems

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Publisher : Springer
ISBN 13 :
Total Pages : 626 pages
Book Rating : 4.X/5 (2 download)

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

Download or read book Predictability, Stability, and Chaos in N-Body Dynamical Systems written by Archie E. Roy and published by Springer. This book was released on 1991 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Regularization in Orbital Mechanics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110558629
Total Pages : 418 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Regularization in Orbital Mechanics by : Javier Roa

Download or read book Regularization in Orbital Mechanics written by Javier Roa and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.

Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1402053258
Total Pages : 434 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications by : Alessandra Celletti

Download or read book Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications written by Alessandra Celletti and published by Springer Science & Business Media. This book was released on 2007-02-02 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 0387946772
Total Pages : 612 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Chaos by : Kathleen T. Alligood

Download or read book Chaos written by Kathleen T. Alligood and published by Springer Science & Business Media. This book was released on 2000-09-27 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.

Exoplanets: Detection, Formation and Dynamics (IAU S249)

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Publisher : Cambridge University Press
ISBN 13 : 9780521874717
Total Pages : 550 pages
Book Rating : 4.8/5 (747 download)

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Book Synopsis Exoplanets: Detection, Formation and Dynamics (IAU S249) by : International Astronomical Union. Symposium

Download or read book Exoplanets: Detection, Formation and Dynamics (IAU S249) written by International Astronomical Union. Symposium and published by Cambridge University Press. This book was released on 2008-07-10 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 12 years since the first discovery of an exoplanet around a main sequence star (51 Peg), more than 270 exoplanets have been detected. The proceedings of IAU Symposium 249 present the latest theoretical and observational advances in the field of exoplanet research, including the ongoing and future projects such as CoRoT and Kepler. The volume opens with a review of exoplanet detection and orbital determination techniques, before looking at the physics of gas giant atmospheres and close-in stars. The topics of planet formation, migration and the dynamical evolution of protoplanetary disks and multi-planet systems are also covered in detail. IAU S249 is a useful reference for the graduate students and researchers working in the exciting field of exoplanet study.

Dynamical Chaos

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Publisher : Princeton University Press
ISBN 13 : 1400860199
Total Pages : 209 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamical Chaos by : Michael V. Berry

Download or read book Dynamical Chaos written by Michael V. Berry and published by Princeton University Press. This book was released on 2014-07-14 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading scientists who gave these papers under the sponsorship of the Royal Society in early 1987 provide reviews of facets of the subject of chaos ranging from the practical aspects of mirror machines for fusion power to the pure mathematics of geodesics on surfaces of negative curvature. The papers deal with systems in which chaotic conditions arise from initial value problems with unique solutions, as opposed to those where chaos is produced by the introduction of noise from an external source. Table of Contents Diagnosis of Dynamical Systems with Fluctuating Parameters D. Ruelle Nonlinear Dynamics, Chaos, and Complex Cardiac Arrhythmias L. Glass, A. L. Goldberger, M. Courtemanche, and A. Shrier Chaos and the Dynamics of Biological Populations R. M. May Fractal Bifurcation Sets, Renormalization Strange Sets, and Their Universal Invariants D. A. Rand From Chaos to Turbulence in Bnard Convection A. Libchaber Dynamics of Convection N. O. Weiss Chaos: A Mixed Metaphor for Turbulence E. A. Spiegel Arithmetical Theory of Anosov Diffeomorphisms F. Vivaldi Chaotic Behavior in the Solar System J. Wisdom Chaos in Hamiltonian Systems I. C. Percival Semi-Classical Quantization, Adiabatic Invariants, and Classical Chaos W. P. Reinhardt and I. Dana Particle Confinement and Adiabatic Invariance B. V. Chirikov Some Geometrical Models of Chaotic Dynamics C. Series The Bakerian Lecture: Quantum Chaology M. V. Berry Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Chaotic Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521471060
Total Pages : 282 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Chaotic Dynamics by : Gregory L. Baker

Download or read book Chaotic Dynamics written by Gregory L. Baker and published by Cambridge University Press. This book was released on 1996 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The previous edition of this text was the first to provide a quantitative introduction to chaos and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of writing and for the unique and effective way in which the authors presented the basic ideas. These same qualities characterize this revised and expanded second edition. Interest in chaotic dynamics has grown explosively in recent years. Applications to practically every scientific field have had a far-reaching impact. As in the first edition, the authors present all the main features of chaotic dynamics using the damped, driven pendulum as the primary model. This second edition includes additional material on the analysis and characterization of chaotic data, and applications of chaos. This new edition of Chaotic Dynamics can be used as a text for courses on chaos for physics and engineering students at the second- and third-year level.

Chaos and Complexity in Astrophysics

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Publisher : Cambridge University Press
ISBN 13 : 9780521855341
Total Pages : 492 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis Chaos and Complexity in Astrophysics by : O. Regev

Download or read book Chaos and Complexity in Astrophysics written by O. Regev and published by Cambridge University Press. This book was released on 2006-03-23 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primer for researchers and graduate students; introduces and applies chaos techniques to specific astrophysical systems.

Perturbation Theory

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Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Perturbation Theory by : Giuseppe Gaeta

Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.