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Symmetries, Topology and Resonances in Hamiltonian Mechanics

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 937/5 ( reviews)

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Book Synopsis Symmetries, Topology and Resonances in Hamiltonian Mechanics by : Valerij V. Kozlov

Download or read book Symmetries, Topology and Resonances in Hamiltonian Mechanics written by Valerij V. Kozlov. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together" (Amer. Math. Monthly, November 1989). Kozlov's book is a systematic introduction to the problem of exact integration of equations of dynamics. The key to the solution is to find nontrivial symmetries of Hamiltonian systems. After Poincaré's work it became clear that topological considerations and the analysis of resonance phenomena play a crucial role in the problem on the existence of symmetry fields and nontrivial conservation laws.

Symmetries, Topology and Resonances in Hamiltonian Mechanics

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Release : 1995-12-12
Genre :
Kind : eBook
Book Rating : 944/5 ( reviews)

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Book Synopsis Symmetries, Topology and Resonances in Hamiltonian Mechanics by : Valerij V. Kozlov

Download or read book Symmetries, Topology and Resonances in Hamiltonian Mechanics written by Valerij V. Kozlov. This book was released on 1995-12-12. Available in PDF, EPUB and Kindle. Book excerpt:

Metamorphoses of Hamiltonian Systems with Symmetries

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Release : 2005
Genre : Hamiltonian systems
Kind : eBook
Book Rating : 168/5 ( reviews)

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Book Synopsis Metamorphoses of Hamiltonian Systems with Symmetries by : Konstantinos Efstathiou

Download or read book Metamorphoses of Hamiltonian Systems with Symmetries written by Konstantinos Efstathiou. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:

Hamiltonian Mechanics

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Release : 2013-11-11
Genre : Science
Kind : eBook
Book Rating : 648/5 ( reviews)

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Book Synopsis Hamiltonian Mechanics by : John Seimenis

Download or read book Hamiltonian Mechanics written by John Seimenis. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited papers and contributions delivered at the International Conference on Hamiltonian Mechanics: Integrability and Chaotic Behaviour, held in Tornn, Poland during the summer of 1993. The conference was supported by the NATO Scientific and Environmental Affairs Division as an Advanced Research Workshop. In fact, it was the first scientific conference in all Eastern Europe supported by NATO. The meeting was expected to establish contacts between East and West experts as well as to study the current state of the art in the area of Hamiltonian Mechanics and its applications. I am sure that the informal atmosphere of the city of Torun, the birthplace of Nicolaus Copernicus, stimulated many valuable scientific exchanges. The first idea for this cnference was carried out by Prof Andrzej J. Maciejewski and myself, more than two years ago, during his visit in Greece. It was planned for about forty well-known scientists from East and West. At that time participation of a scientist from Eastern Europe in an Organising Committee of a NATO Conference was not allowed. But always there is the first time. Our plans for such a "small" conference, as a first attempt in the new European situation -the Europe without borders -quickly passed away. The names of our invited speakers, authorities in their field, were a magnet for many colleagues from all over the world.

Introduction to Mechanics and Symmetry

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Release : 2013-03-19
Genre : Science
Kind : eBook
Book Rating : 924/5 ( reviews)

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Book Synopsis Introduction to Mechanics and Symmetry by : Jerrold E. Marsden

Download or read book Introduction to Mechanics and Symmetry written by Jerrold E. Marsden. This book was released on 2013-03-19. Available in PDF, EPUB and Kindle. Book excerpt: A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.

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