Metamorphoses of Hamiltonian Systems with Symmetries

Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) a...

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Detaylı Bibliyografya
Yazar: Efstathiou, Konstantinos, 1973-
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edisyon:1st ed. 2005.
Seri Bilgileri:Lecture Notes in Mathematics 1864
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Edition sous un autre format:• Metamorphoses of hamiltonian systems with symmetries, Konstantinos Efstathiou, 2005, Berlin, Springer, 1 vol. (IX-149 p.), Lecture notes in mathematics, 3-540-24316-X
Diğer Bilgiler
Özet:Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540315506
ISSN:1617-9692
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