Download or read book Chaos in the Cosmos written by Barry R. Parker and published by Springer. This book was released on 2013-11-11 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'he year was 1889. The French physicist-mathematician Henry T Poincare could not believe his eyes. He had worked for months on one of the most famous problems in science-the problem of three bodies moving around one another under mutual gravita tional attraction-and what he was seeing dismayed and trou bled him. Since Newton's time it had been assumed that the problem was solvable. All that was needed was a little ingenuity and considerable perseverance, but Poincare saw that this was not the case. Strange, unexplainable things happened when he delved into the problem; it was not solvable after all. Poincare was shocked and dismayed by the result-so disheartened he left the problem and went on to other things. What Poincare was seeing was the first glimpse of a phe nomenon we now call chaos. With his discovery the area lay dormant for almost 90 years. Not a single book was written about the phenomenon, and only a trickle of papers appeared. Then, about 1980 a resurgence of interest began, and thousands of papers appeared along with dozens of books. The new science of chaos was born and has attracted as much attention in recent years as breakthroughs in superconductivity and superstring theory.
Download or read book Chaos and Diffusion in Hamiltonian Systems written by and published by Atlantica Séguier Frontières. This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.
Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.
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.
Download or read book Comet Venus written by Gary Gilligan and published by Troubador Publishing Ltd. This book was released on 2009-12-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1950s, Immanuel Velikovsky propounded catastrophism in several popular books including the bestselling Worlds in Collision. He speculated that the ‘planet’ Venus was in fact a former comet which had been ejected from Jupiter. Subsequently, 3,500 years ago, it made two catastrophically close passes by Earth 52 years apart. It later interacted with Mars, which had a series of near collisions with Earth ending in 687 BCE, before finally settling into its current orbit.Was Velikovsky correct, did Venus appear as a gigantic comet in ancient times? Comet Venus is the second book in the God King Scenario Series. The first book, An Ancient World in Chaos, presented a fascinating model whereby Mars, Venus, Mercury and the Moon played havoc with Earth for an incredible 3,000 years, coming so close they loomed larger than the Sun. In support of such incredible claims, Gilligan calls upon the most fascinating civilisation of ancient times – the Ancient Egyptians. He proposes that the divine god-kings of Pharaonic Egypt were first and foremost guises of planetary bodies as they appeared to move back and forth to Earth. He further proposes that these heavenly monarchs were represented by human ‘doubles’ – mortal Pharaohs who were believed to be earthly manifestations of god-king planets.The primary objective of Comet Venus is to vindicate Velikovsky and conclusively demonstrate that the comet images on the front and back covers of this book have nothing whatsoever to do with the Sun! They are exact physical representations of the planet Venus as it took on the attributes of a comet in the skies above Earth only a few thousand years ago.
Download or read book A New Theory of the Earth From Its Original to the Consummation of All Things written by Whiston and published by . This book was released on 1708 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physically Speaking written by C.C. Gaither and published by CRC Press. This book was released on 1997-01-01 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physically Speaking: A Dictionary of Quotations on Physics and Astronomy provides the largest published collection of quotations pertaining to physics and astronomy. Some quotes are profound, others are wise, some are witty but none are frivolous. Here you will find quotations from the most famous to the unknown. The extensive author and subject indexes provide you with the perfect tool for locating quotations for practical use or pleasure, and you will soon enjoy discovering what others have said on topics ranging from anti-matter to x-rays. This book can be read for pleasure or used as a handy reference by students, scientific readers, and the more general reader who is interested in who has said what on physics and astronomy.
Download or read book A New Theory of the Earth from Its Original to the Consummation of All Things written by William Whiston and published by . This book was released on 1737 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: While Cleo sets aside her feelings about Magnus to fulfill her royal duties, a betrayed Lucia teams up with a vengeful Fire god; Jonas becomes a pawn in the hunt for the Kindred; and King Gaius sails across the Silver Sea to forge a dubious alliance.
Download or read book Predictability Stability and Chaos in N Body Dynamical Systems written by Archie E. Roy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 581 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.
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.
Download or read book Chaos Resonance and Collective Dynamical Phenomena in the Solar System written by Sylvio Ferraz-Mello and published by Springer Science & Business Media. This book was released on 1992-05-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Origin And Evolution Of Comets Ten Years After The Nice Model And One Year After Rosetta written by Hans Rickman and published by World Scientific. This book was released on 2017-10-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since several decades, comets have been considered as key witnesses of solar system formation. Their nature has been explored using the modern arsenal of Earth- and space-based observations, and they hold a central place as dynamical arbiters of the planetary system in the new paradigm of solar system evolution known as the Nice Model. Thus, they have the potential to test the various ideas, using the detailed data recently gathered by the ESA/Rosetta mission. This requires an understanding of their origin and evolution, which form the subject of the present book. All the relevant issues are covered, describing both the background and the current frontiers of research.
Download or read book Dynamical Chaos in Planetary Systems written by Ivan I. Shevchenko and published by Springer Nature. This book was released on 2020-08-31 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics.
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.
Download or read book A Compleat Body of Speculative and Practical Divinity The Fourth Edition Etc written by Thomas STACKHOUSE (Vicar of Beenham.) and published by . This book was released on 1760 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Compleat Body of Speculative and Practical Divinity written by Thomas Stackhouse and published by . This book was released on 1743 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: