Metamorphoses of Hamiltonian Systems with Symmetries (Lecture Notes in Mathematics)

Metamorphoses of Hamiltonian Systems with Symmetries (Lecture Notes in Mathematics)

Editorial Reviews
Book Description
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.

Metamorphoses of Hamiltonian Systems with Symmetries (Lecture Notes in Mathematics),Konstantinos Efstathiou,Springer,354024316X,Differential Equations,Group Theory,Hamiltonian systems,Mathematical Physics,Mathematics,Nonlinear mechanics,Science,Science/Mathematics,Symmetry,70E40, 70H33, 70H05, 70H06, 70K45, 70K75,Hamiltonian mechanics,Science / Mathematical Physics,bifurcations,integrable systems,monodromy,relative equilibria

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