New Advances In Celestial Mechanics And Hamiltonian Systems

Author : Joaquín Delgado,Ernesto A. Lacomba,Jaume Llibre,Ernesto Perez-Chavela
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781441990587

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New Advances in Celestial Mechanics and Hamiltonian Systems by Joaquín Delgado,Ernesto A. Lacomba,Jaume Llibre,Ernesto Perez-Chavela Pdf

The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.

Author : Lacomba Ernesto A,Llibre Jaume
Publisher : #N/A
Page : 408 pages
File Size : 47,5 Mb
Release : 1996-07-03
Category : Electronic
ISBN : 9789814547901

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New Trends For Hamiltonian Systems And Celestial Mechanics by Lacomba Ernesto A,Llibre Jaume Pdf

This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. Their relationship to several aspects of topology, mechanics and dynamical systems in general are also emphasized. The papers presented are an outgrowth of the lectures that took place during the “International Symposium on Hamiltonian Systems and Celestial Mechanics ”, which was held at Cocoyoc (Morelos, México) from September 13 to 17, 1994.

Author : Ernesto A Lacomba,Jaume Llibre
Publisher : World Scientific
Page : 218 pages
File Size : 40,8 Mb
Release : 1993-04-30
Category : Electronic
ISBN : 9789814553162

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Hamiltonian Systems And Celestial Mechanics by Ernesto A Lacomba,Jaume Llibre Pdf

This volume puts together several important lectures on the Hamiltonian Systems and Celestial Mechanics to form a comprehensive and authoritative collection of works on the subject. The papers presented in this volume are an outgrowth of the lectures that took place during the 'International Symposium on Hamiltonian Systems and Celestial Mechanics', which was held at the CIMAT (Centro de Investigacion en Matematicas, Guanajuato, Mexico) from September 30 to October 4, 1991. In general, the lectures explored the subject of the Hamiltonian Dynamics and Celestial Mechanics and emphasized its relationship with several aspects of topology, mechanics and dynamical systems.

Author : Ernesto A. Lacomba
Publisher : Unknown
Page : 395 pages
File Size : 54,9 Mb
Release : 1996
Category : Electronic
ISBN : OCLC:657880692

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New Trends for Hamiltonian Systems and Celestial Mechanics by Ernesto A. Lacomba Pdf

Author : Daniel Benest,Claude Froeschlé,Elena Lega
Publisher : Unknown
Page : 344 pages
File Size : 40,8 Mb
Release : 2005
Category : Celestial mechanics
ISBN : UCSC:32106018539699

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Hamiltonian Systems and Fourier Analysis by Daniel Benest,Claude Froeschlé,Elena Lega Pdf

Author : Donald Saari,Zhihong Xia
Publisher : American Mathematical Soc.
Page : 240 pages
File Size : 46,7 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821805664

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Hamiltonian Dynamics and Celestial Mechanics by Donald Saari,Zhihong Xia Pdf

This book contains selected papers from the AMS-IMS-SIAM Joint Summer Research Conference on Hamiltonian Systems and Celestial Mechanics held in Seattle in June 1995. The symbiotic relationship of these two topics creates a natural combination for a conference on dynamics. The topics covered include twist maps, the Aubrey-Mather theory, Arnold diffusion, qualitative and topological studies of systems, and variational methods, as well as specific topics such as Melnikov's procedure and the singularity properties of particular systems. As one of the few books that addresses both Hamiltonian systems and celestial mechanics, this volume offers emphasis on new issues and unsolved problems. Many of the papers give new results, yet the editors purposely included some exploratory papers based on numerical computations, a section on unsolved problems, and papers that pose conjectures while developing what is known. It features open research problems, and papers on central configurations.

Author : J Delgado,E A Lacomba,E Pérez-Chavela,J Llibre
Publisher : World Scientific
Page : 370 pages
File Size : 49,9 Mb
Release : 2000-10-09
Category : Science
ISBN : 9789814492119

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Hamiltonian Systems and Celestial Mechanics by J Delgado,E A Lacomba,E Pérez-Chavela,J Llibre Pdf

This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal. Contents:The Rhomboidal Charged Four Body Problem (F Alfaro & E Pérez-Chavela)Planetary Rings with Shepherds (L Benet & T H Seligman)Low Reynolds Number Swimming in Two Dimensions (A Cherman et al.)2-Dimensional Invariant Tori for the Spatial Isosceles 3-Body Problem (M Corbera & J Llibre)The Global Flow for the Synodical Spatial Kepler Problem (M P Dantas & J Llibre)Unbounded Growth of Energy in Periodic Perturbations of Geodesic Flows of the Torus (A Delshams et al.)Splitting and Melnikov Potentials in Hamiltonian Systems (A Delshams & P Gutiérrez)Infinity Manifolds of Cubic Polynomial Hamiltonian Vector Fields with 2 Degrees of Freedom (M Falconi et al.)Relativistic Corrections to Elementary Galilean Dynamics and Deformations of Poisson Brackets (R Flores-Espinoza & Y M Vorobjev)Heteroclinic Phenomena in the Sitnikov Problem (A García & E Pérez-Chavela)Doubly-Symmetric Periodic Solutions of Hill's Lunar Problem (R C Howison & K R Meyer)On Practical Stability Regions for the Motion of a Small Particle Close to the Equilateral Points of the Real Earth-Moon System (À Jorba)Variational Methods for Quasi-Periodic Solutions of Partial Differential Equations (R de la Llave)The Splitting of Invariant Lagrangian Submanifolds: Geometry and Dynamics (J-P Marco)Cross-Sections in the Planar N-Body Problem (C McCord)Existence of an Additional First Integral and Completeness of the Flow for Hamiltonian Vector Fields (J Muciño-Raymundo)Simplification of Perturbed Hamiltonians Through Lie Transformations (J Palacián & P Yanguas)Linear Stability in the 1 + N-Gon Relative Equilibrium (G E Roberts)Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-Body Problem (J Soler)The Phase Space of Finite Systems (K B Wolf et al.) Readership: Students and researchers in mathematics and nonlinear dynamics. Keywords:Charged Four Body Problem;Low Reynolds Number;Relativistic Corrections;Sitnikov Problem;Hill's Lunar Problem;Invariant Lagrangian Submanifolds;Planar N-Body Problem;Elliptic Kepler Motion

Author : Montserrat Corbera,Josep Maria Cors,Jaume Llibre,Andrei Korobeinikov
Publisher : Birkhäuser
Page : 160 pages
File Size : 48,6 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9783319221298

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Extended Abstracts Spring 2014 by Montserrat Corbera,Josep Maria Cors,Jaume Llibre,Andrei Korobeinikov Pdf

The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Hamiltonian Systems and Celestial Mechanics 2014" (HAMSYS2014) (15 abstracts) and at the "Workshop on Virus Dynamics and Evolution" (12 abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from June 2nd to 6th, 2014, and from June 23th to 27th, 2014, respectively. Most of them are brief articles, containing preliminary presentations of new results not yet published in regular research journals. The articles are the result of a direct collaboration between active researchers in the area after working in a dynamic and productive atmosphere. The first part is about Central Configurations, Periodic Orbits and Hamiltonian Systems with applications to Celestial Mechanics – a very modern and active field of research. The second part is dedicated to mathematical methods applied to viral dynamics and evolution. Mathematical modelling of biological evolution currently attracts the interest of both mathematicians and biologists. This material offers a variety of new exciting problems to mathematicians and reasonably inexpensive mathematical methods to evolutionary biologists. It will be of scientific interest to both communities. The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.

Author : Ernesto A. Lacomba
Publisher : Unknown
Page : 407 pages
File Size : 50,9 Mb
Release : 1996
Category : MATHEMATICS
ISBN : 9812833102

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New Trends for Hamiltonian Systems and Celestial Mechanics by Ernesto A. Lacomba Pdf

Author : Rudolf Dvorak,Christoph Lhotka
Publisher : John Wiley & Sons
Page : 359 pages
File Size : 40,9 Mb
Release : 2013-08-30
Category : Science
ISBN : 9783527651870

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Celestial Dynamics by Rudolf Dvorak,Christoph Lhotka Pdf

Written by an internationally renowned expert author and researcher, this monograph fills the need for a book conveying the sophisticated tools needed to calculate exo-planet motion and interplanetary space flight. It is unique in considering the critical problems of dynamics and stability, making use of the software Mathematica, including supplements for practical use of the formulae. A must-have for astronomers and applied mathematicians alike.

Author : Alessandro Morbidelli
Publisher : CRC Press
Page : 386 pages
File Size : 50,5 Mb
Release : 2002-05-16
Category : Science
ISBN : UCSC:32106016028133

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Modern Celestial Mechanics by Alessandro Morbidelli Pdf

In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.

Author : Jurgen Moser,Jürgen Moser,Eduard Zehnder
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 54,9 Mb
Release : 2005
Category : Combinatorial dynamics
ISBN : 9780821835777

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Notes on Dynamical Systems by Jurgen Moser,Jürgen Moser,Eduard Zehnder Pdf

This book is an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. The authors aimed at keeping the requirements of mathematical techniques minimal but giving detailed proofs and many examples and illustrations from physics and celestial mechanics. After all, the celestial $N$-body problem is the origin of dynamical systems and gave rise in the past to many mathematical developments. Jurgen Moser (1928-1999) was a professor atthe Courant Institute, New York, and then at ETH Zurich. He served as president of the International Mathematical Union and received many honors and prizes, among them the Wolf Prize in mathematics. Jurgen Moser is the author of several books, among them Stable and Random Motions in DynamicalSystems. Eduard Zehnder is a professor at ETH Zurich. He is coauthor with Helmut Hofer of the book Symplectic Invariants and Hamiltonian Dynamics. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Author : R.S MacKay,J.D Meiss
Publisher : CRC Press
Page : 808 pages
File Size : 48,6 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 0852742053

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Hamiltonian Dynamical Systems by R.S MacKay,J.D Meiss Pdf

Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the effort required to obtain them. Addressing this situation, Hamiltonian Dynamical Systems includes some of the most significant papers in Hamiltonian dynamics published during the last 60 years. The book covers bifurcation of periodic orbits, the break-up of invariant tori, chaotic behavior in hyperbolic systems, and the intricacies of real systems that contain coexisting order and chaos. It begins with an introductory survey of the subjects to help readers appreciate the underlying themes that unite an apparently diverse collection of articles. The book concludes with a selection of papers on applications, including in celestial mechanics, plasma physics, chemistry, accelerator physics, fluid mechanics, and solid state mechanics, and contains an extensive bibliography. The book provides a worthy introduction to the subject for anyone with an undergraduate background in physics or mathematics, and an indispensable reference work for researchers and graduate students interested in any aspect of classical mechanics.

Author : Harry Dankowicz
Publisher : World Scientific Series on Nonlinear Science Series A
Page : 209 pages
File Size : 54,6 Mb
Release : 1997
Category : Science
ISBN : 9810232217

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Chaotic Dynamics in Hamiltonian Systems by Harry Dankowicz Pdf

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging.This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers.Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike.

Author : Archie E. Roy
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400930537

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Long-Term Dynamical Behaviour of Natural and Artificial N-Body 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 3 and August 13, 1987 under the title "Long Term Dynamical Behaviour of Natural and Artificial N-body Systems". The Institute was the latest in a series held in 1972, 1975, 1978, 1981, 1984 in dynamical astronomy, theoretical mechanics and celestial mechanics under the Directorship of Professor Victor Szebehely. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received and valuable Proceedings. In correspondence with Professor Szebehely and in long discussions with him in Colorado in August 1985, I agreed to his request that I undertake the preparation of a new ASI. I was happy to do so knowing I could call upon his vast experience in overseeing such ASI's. The last quarter century has been a period in which increasingly rapid progress has been made in celestial mechanics and related subjects not only because of the appearance of new problems urgently requiring solution but also because of the advent of new analytical techniques and powerful computer hardware and software.