Dynamical Systems In Classical Mechanics

Author : Valeriĭ Viktorovich Kozlov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804278
Total Pages : 268 pages
Book Rating : 4.78/5 ( download)

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Download or read book Dynamical Systems in Classical Mechanics written by Valeriĭ Viktorovich Kozlov and published by American Mathematical Soc.. This book was released on 1995 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that the phenomenon of integrability is related not only to Hamiltonian systems, but also to a wider variety of systems having invariant measures that often arise in nonholonomic mechanics. Each paper presents unique ideas and original approaches to various mathematical problems related to integrability, stability, and chaos in classical dynamics. Topics include... the inverse Lyapunov theorem on stability of equilibria geometrical aspects of Hamiltonian mechanics from a hydrodynamic perspective current unsolved problems in the dynamical systems approach to classical mechanics.

Author : Jerry B. Marion
Publisher : Academic Press
ISBN 13 : 1483272818
Total Pages : 593 pages
Book Rating : 4.18/5 ( download)

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Download or read book Classical Dynamics of Particles and Systems written by Jerry B. Marion and published by Academic Press. This book was released on 2013-10-22 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.

Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 1475720637
Total Pages : 530 pages
Book Rating : 4.31/5 ( download)

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Download or read book Mathematical Methods of Classical Mechanics written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Author : J.M. Souriau
Publisher : Springer Science & Business Media
ISBN 13 : 1461202817
Total Pages : 427 pages
Book Rating : 4.13/5 ( download)

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Download or read book Structure of Dynamical Systems written by J.M. Souriau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.

Author :
Publisher :
ISBN 13 : 9781470433796
Total Pages : pages
Book Rating : 4.96/5 ( download)

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Download or read book Dynamical Systems in Classical Mechanics written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Robert L. Devaney
Publisher :
ISBN 13 : 9780082471523
Total Pages : 0 pages
Book Rating : 4.25/5 ( download)

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Download or read book Classical Mechanics and Dynamical Systems written by Robert L. Devaney and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nicola Bellomo
Publisher : Springer Science & Business Media
ISBN 13 : 146121338X
Total Pages : 427 pages
Book Rating : 4.83/5 ( download)

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Download or read book Mechanics and Dynamical Systems with Mathematica® written by Nicola Bellomo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equa tions is a relevant, maybe the fundamental, aspect of the interactions be tween mathematics and applied sciences. Modeling is, however, only the first step toward the mathematical description and simulation of systems belonging to real world. Indeed, once the evolution equation is proposed, one has to deal with mathematical problems and develop suitable simula tions to provide the description of the real system according to the model. Within this framework, one has an evolution equation and the re lated mathematical problems obtained by adding all necessary conditions for their solution. Then, a qualitative analysis should be developed: this means proof of existence of solutions and analysis of their qualitative be havior. Asymptotic analysis may include a detailed description of stability properties. Quantitative analysis, based upon the application ofsuitable methods and algorithms for the solution of problems, ends up with the simulation that is the representation of the dependent variable versus the independent one. The information obtained by the model has to be compared with those deriving from the experimental observation of the real system. This comparison may finally lead to the validation of the model followed by its application and, maybe, further generalization.

Author : Walter Craig
Publisher : Springer Science & Business Media
ISBN 13 : 1402069642
Total Pages : 450 pages
Book Rating : 4.42/5 ( download)

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Download or read book Hamiltonian Dynamical Systems and Applications written by Walter Craig and published by Springer Science & Business Media. This book was released on 2008-02-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.

Author : Joseph S. Torok
Publisher : John Wiley & Sons
ISBN 13 : 9780471332077
Total Pages : 378 pages
Book Rating : 4.70/5 ( download)

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Download or read book Analytical Mechanics written by Joseph S. Torok and published by John Wiley & Sons. This book was released on 1999-11-04 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Literatur zur analytischen Mechanik enthalt meist nur die klassische Theorie, an der sich seit Jahren nichts geandert hat. Dieses Buch fullt eine Lucke, indem es rund 250 neue Beispiele und rund 400 neue Aufgaben bietet sowie nun auch computergestutzte Rechenmethoden behandelt. Mathematische Theorie und ingenieurtechnische Anwendungen stehen dabei stets in einem ausgewogenen Verhaltnis zueinander. Mit vielen anschaulichen Abbildungen! (11/99)

Author : Jorge V. José
Publisher : Cambridge University Press
ISBN 13 : 9780521636360
Total Pages : 702 pages
Book Rating : 4.61/5 ( download)

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Download or read book Classical Dynamics written by Jorge V. José and published by Cambridge University Press. This book was released on 1998-08-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.