Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics

Author : Oleg Igorevich Bogoi͡avlenskiĭ
Publisher : Springer
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.19/5 ( download)

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Download or read book Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics written by Oleg Igorevich Bogoi͡avlenskiĭ and published by Springer. This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : O.I. Bogoyavlensky
Publisher : Springer
ISBN 13 : 9783642616617
Total Pages : 0 pages
Book Rating : 4.15/5 ( download)

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Download or read book Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics written by O.I. Bogoyavlensky and published by Springer. This book was released on 1985 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homogeneous cosmological models, self-similar motion of self-gravitating gas and motion of gas with homogeneous deformation have important applica tions in the theory of evolution of the universe. In particular they can be applied to the theory of explosions of stars, formation of galaxies, pulsation of alternating stars etc. The equations of general relativity and Newtonian gas dynamics in the cases mentioned above are reduced to systems of a finite (but quite large) number of ordinary differential equations. In the last two decades these multi-dimensional dynamical systems were and still are being analyzed by means of traditional analytic and numerical methods. Important dynamical modes of some solutions were thus established. These include oscillatory modes of the space-time metric near a cosmological singularity, self-similar motion of self-gravitating gas with a shock wave and an expanding cavity inside (as in an explosion of a star), collapse of an ellipsoid of self-gravitating dust into a disc and others. However the multi dimensional dynamical systems in question are so complex, that a complete analysis of all dynamical modes of the solutions by means of well-known tra ditional analytic methods does not seem feasible. Therefore the development of effective methods of qualitative analysis of multi-dimensional dynamical systems and their application to the problems of astrophysics and gas dynamics previ ously unsolved by traditional methods becomes especially urgent.

Author : A.A. Coley
Publisher : Springer Science & Business Media
ISBN 13 : 9781402014031
Total Pages : 210 pages
Book Rating : 4.31/5 ( download)

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Download or read book Dynamical Systems and Cosmology written by A.A. Coley and published by Springer Science & Business Media. This book was released on 2003-10-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action. This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.

Author : L. D. Faddeev
Publisher : American Mathematical Soc.
ISBN 13 : 9780821831205
Total Pages : 336 pages
Book Rating : 4.08/5 ( download)

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Download or read book Mathematical Physics and Complex Analysis written by L. D. Faddeev and published by American Mathematical Soc.. This book was released on 1988 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of survey papers on the 50th anniversary of the institute.

Author : Spiros Cotsakis
Publisher : Springer
ISBN 13 : 3540480250
Total Pages : 484 pages
Book Rating : 4.59/5 ( download)

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Download or read book Cosmological Crossroads written by Spiros Cotsakis and published by Springer. This book was released on 2008-01-11 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Overview -- Is Nature Generic? -- Evolution of Ideas in Modern Cosmology -- Mathematical Cosmology -- Constraints and Evolution in Cosmology -- Cosmological Singularities -- Exact Cosmological Solutions -- to Cosmological Dynamical Systems -- Astrophysical and Observational Cosmology -- The Quest for the Cosmological Parameters -- Modern Cosmological Observations -- Cosmological Perturbations -- Dark Matter: A Particle Theorist's Viewpoint -- Particle and String Cosmology -- An Introduction to Particle Physics -- Quantum Cosmology -- Inflationary Cosmology -- String Cosmology -- Brane Cosmology.

Author : Jacques Henrard
Publisher : Springer Science & Business Media
ISBN 13 : 940114527X
Total Pages : 468 pages
Book Rating : 4.75/5 ( download)

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Download or read book Impact of Modern Dynamics in Astronomy written by Jacques Henrard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Prof. Dr. Roland Wielen
Publisher : Springer Science & Business Media
ISBN 13 : 366212355X
Total Pages : 1122 pages
Book Rating : 4.53/5 ( download)

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Download or read book Literature 1986, Part 1 written by Prof. Dr. Roland Wielen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 1122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Iván Area
Publisher : Springer Nature
ISBN 13 : 3030269876
Total Pages : 295 pages
Book Rating : 4.76/5 ( download)

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Download or read book Nonlinear Analysis and Boundary Value Problems written by Iván Area and published by Springer Nature. This book was released on 2019-09-19 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday. Juan José Nieto Roig (born 1958, A Coruña) is a Spanish mathematician, who has been a Professor of Mathematical Analysis at the University of Santiago de Compostela since 1991. His most influential contributions to date are in the area of differential equations. Nieto received his degree in Mathematics from the University of Santiago de Compostela in 1980. He was then awarded a Fulbright scholarship and moved to the University of Texas at Arlington where he worked with Professor V. Lakshmikantham. He received his Ph.D. in Mathematics from the University of Santiago de Compostela in 1983. Nieto's work may be considered to fall within the ambit of differential equations, and his research interests include fractional calculus, fuzzy equations and epidemiological models. He is one of the world’s most cited mathematicians according to Web of Knowledge, and appears in the Thompson Reuters Highly Cited Researchers list. Nieto has also occupied different positions at the University of Santiago de Compostela, such as Dean of Mathematics and Director of the Mathematical Institute. He has also served as an editor for various mathematical journals, and was the editor-in-chief of the journal Nonlinear Analysis: Real World Applications from 2009 to 2012. In 2016, Nieto was admitted as a Fellow of the Royal Galician Academy of Sciences. This book consists of contributions presented at the International Conference on Nonlinear Analysis and Boundary Value Problems, held in Santiago de Compostela, Spain, 4th-7th September 2018. Covering a variety of topics linked to Nieto’s scientific work, ranging from differential, difference and fractional equations to epidemiological models and dynamical systems and their applications, it is primarily intended for researchers involved in nonlinear analysis and boundary value problems in a broad sense.

Author : Stephen Paul Braham
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885888
Total Pages : 400 pages
Book Rating : 4.8X/5 ( download)

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Download or read book The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics written by Stephen Paul Braham and published by American Mathematical Soc.. This book was released on with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. Features: * Review articles in key areas: black holes, numerical relativity, etc. * Contributions covering most of gravitational physics * Useful articles for students who wish to begin exploring the issues discusses * Invited talks given by researchers known for their ability to communicate their expertise

Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1522569693
Total Pages : 286 pages
Book Rating : 4.95/5 ( download)

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Download or read book The Geometry of Higher-Dimensional Polytopes written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2018-08-03 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the chemical elements form chemical compounds with molecules of higher dimension (i.e., substantially exceeding three). This fact is very important for the analysis of molecular interactions in various areas: nanomedicine, nanotoxicology, and quantum biology. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary compounds. It explores the study of geometry polytopes from a higher-dimensional perspective, taking into account the features of polytopes that are models of chemical compounds. While highlighting topics including chemical compounds, symmetry transformation, and DNA structures, this book is ideally designed for researchers, academicians, and students seeking current research on dimensions present in binary compounds.