Symmetries, Topology and Resonances in Hamiltonian Mechanics (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / #31) (Paperback)

Symmetries, Topology and Resonances in Hamiltonian Mechanics (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / #31) By Valerij V. Kozlov, S. V. Bolotin (Translator), Yu Fedorov (Translator) Cover Image

Symmetries, Topology and Resonances in Hamiltonian Mechanics (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge / #31) (Paperback)

By Valerij V. Kozlov, S. V. Bolotin (Translator), Yu Fedorov (Translator)

$99.99


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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 Poincar '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.
Product Details ISBN: 9783642783951
ISBN-10: 3642783953
Publisher: Springer
Publication Date: December 30th, 2011
Pages: 378
Language: English
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /