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Dynamical Systems In Cosmology And Astrophysics


Dynamical Systems In Cosmology And Astrophysics
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Dynamical Systems In Cosmology And Astrophysics


Dynamical Systems In Cosmology And Astrophysics
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Author : Ulf Nilsson
language : en
Publisher:
Release Date : 1998

Dynamical Systems In Cosmology And Astrophysics written by Ulf Nilsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Astrophysics categories.




Dynamical Systems And Cosmology


Dynamical Systems And Cosmology
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Author : A.A. Coley
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-31

Dynamical Systems And Cosmology written by A.A. Coley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-31 with Science categories.


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.



Order And Chaos In Dynamical Astronomy


Order And Chaos In Dynamical Astronomy
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Author : George Contopoulos
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-16

Order And Chaos In Dynamical Astronomy written by George Contopoulos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-16 with Science categories.


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.



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


Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics
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Author : O.I. Bogoyavlensky
language : en
Publisher: Springer
Release Date : 1985-08

Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics written by O.I. Bogoyavlensky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08 with Mathematics categories.


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.



General Relativity Cosmology And Astrophysics


General Relativity Cosmology And Astrophysics
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Author : Jiří Bičák
language : en
Publisher: Springer
Release Date : 2014-06-12

General Relativity Cosmology And Astrophysics written by Jiří Bičák and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-12 with Science categories.


The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications. As such, it may serve as a valuable source of knowledge and inspiration for experts in these fields, as well as an advanced source of information for young researchers. The occasion to gather together so many leading experts in the field was to celebrate the centenary of Einstein's stay in Prague in 1911-1912. It was in fact during his stay in Prague that Einstein started in earnest to develop his ideas about general relativity that fully developed in his paper in 1915. Approaching soon the centenary of his famous paper, this volume offers a precious overview of the path done by the scientific community in this intriguing and vibrant field in the last century, defining the challenges of the next 100 years. The content is divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, (iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics.



Dynamical Systems In Cosmology


Dynamical Systems In Cosmology
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Author : John Wainwright
language : en
Publisher:
Release Date : 1997-01

Dynamical Systems In Cosmology written by John Wainwright and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01 with Science categories.


The first book to show how modern dynamical systems theory can help us both in understanding the evolution of cosmological models, and in relating them to real cosmological observations.



The Cosmology Of Extra Dimensions And Varying Fundamental Constants


The Cosmology Of Extra Dimensions And Varying Fundamental Constants
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Author : Carlos Martins
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

The Cosmology Of Extra Dimensions And Varying Fundamental Constants written by Carlos Martins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.


The workshop on The Cosmology of Extra Dimensions and Varying Fundamental Constants, which was part of JENAM 2002, was held at the Physics Department of the University of Porto (FCUP) from the 3rd to the 5th of September 2002. It was regularly attended by about 110 participants, of which 65 were officially registered in the VFC workshop, while the others came from the rest of the JENAM workshops. There were also a few science correspondents from the national and international press. During the 3 days of the scientific programme, 8 Invited Reviews and 30 Oral Communications were presented. The speakers came from 11 different European countries, and also from Argentina, Australia, Canada, Japan and the U.S.A. There were also speakers from six Portuguese research institutions, and nine of the speak ers were Ph.D. students. The contributions are presented in these proceedings in chronological order. The workshop brought together string theorists, particle physicists, theoretical and observational cosmologists, relativists and observational astrophysicists. It was generally agreed that this inter-disciplinarity was the greatest strength of the work shop, since it provided people coming into this very recent topic from the various different backgrounds with an opportunity to understand each other's language and thereby gain a more solid understanding of the overall picture.



Cosmology And Gravitation


Cosmology And Gravitation
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Author : Mario Novello
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-06-11

Cosmology And Gravitation written by Mario Novello and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-11 with Science categories.


This volume contains a series of topical lectures in general relativity, cosmology, astrophysics, and field theory, with contributions from theorists and experimentalists.



Advances In Topology Dynamical Systems And Interdisciplinary Applications


Advances In Topology Dynamical Systems And Interdisciplinary Applications
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Author : Bipan Hazarika
language : en
Publisher: Springer Nature
Release Date : 2025-06-04

Advances In Topology Dynamical Systems And Interdisciplinary Applications written by Bipan Hazarika and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-04 with Mathematics categories.


This book contains selected chapters on topology and dynamical systems and their interdisciplinary applications. Targeting researchers in interdisciplinary areas, the book covers contemporary interdisciplinary topics in topology and dynamical systems, such as closure functions, Partially Negative Dimensional Product (PNDP) manifolds, Khalimsky topological subspaces, neutrosophic topological space, ideal topological spaces, relator spaces, predator–prey symbiosis, cosmological models, and nanofluids.



Astrophysical Disks


Astrophysical Disks
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Author : Aleksey M. Fridman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-25

Astrophysical Disks written by Aleksey M. Fridman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-25 with Science categories.


This book deals with collective and stochastic processes in astrophysical disks involving theory, observations, and the results of modelling. It examines the spiral-vortex structure in galactic and accretion disks, and stochastic and ordered structures in developed turbulence. The book advances the study in this important branch of astrophysics and will benefit professional researchers, lecturers, and graduate students.