Format:
1 Online-Ressource (x, 402 pages)
,
digital, PDF file(s).
ISBN:
9780511526367
Series Statement:
London Mathematical Society lecture note series 306
Content:
The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems. They succinctly cover an unparalleled range of topics from the basic concepts of symplectic and Poisson geometry, through integrable systems, KAM theory, fluid dynamics, and symmetric bifurcation theory. The lectures are based on summer schools for graduate students and postdocs and provide complementary and contrasting viewpoints of key topics: the authors cut through an overwhelming amount of literature to show young mathematicians how to get to the core of the various subjects and thereby enable them to embark on research careers.
Content:
Stability in Hamiltonian systems: applications to the restricted three-body prolem (K.R.) / B. Rink, T. Tuwankotta -- A crash course in geometric mechanics (T.S. Ratiu) / T.S. Ratiu [and others] -- The Euler-Poincaré variational framework for modeling fluid dynmics (D.D. Holm) / D.D. Holm -- No polar coordinates (R.H. Cushman) / Sadovskif, K. Efstathiou -- Survey on dissipative KAM theory including quasi-periodic bifurcation theory (H. Broer) / H. Broer, M.-C. Ciocci, A. Litvak-Hinenzon -- Symmetric Hamiltonian bifucations (J.A. Montaldi) / P.-L. Buono, F. Laurent-Polz, J. Montaldi
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521539579
Additional Edition:
ISBN 9780521539579
Additional Edition:
ISBN 9780521539579
Additional Edition:
Erscheint auch als Geometric mechanics and symmetry: the Peyresq lectures Cambridge [u.a.] : Cambridge Univ. Press, 2005 ISBN 0521539579
Additional Edition:
ISBN 9780521539579
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521539579
Language:
English
Subjects:
Mathematics
Keywords:
Symplektische Geometrie
;
Dynamisches System
;
Hamiltonsches System
DOI:
10.1017/CBO9780511526367
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