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Beschreibung
The use of geometric methods in classical mechanics has proven to be a fruitful exercise, with the results being of wide application to physics and engineering. Here Professor Marsden concentrates on these geometric aspects, and especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studies using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems.
The use of geometric methods in classical mechanics has proven to be a fruitful exercise, with the results being of wide application to physics and engineering. Here Professor Marsden concentrates on these geometric aspects, and especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is analyzed using the block diagonalization technique; geometric phases, studies using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems.
Inhaltsverzeichnis
1. Introduction; 2. A crash course in geometric mechanics; 3. Cotangent bundle reduction; 4. Relative equilibria; 5. The energy-momentum method; 6. Geometric phases; 7. Stabilization and control; 8. Discrete reduction; 9. Mechanical integrators; 10. Hamiltonian bifurcations; References.
Details
Erscheinungsjahr: 1992
Fachbereich: Mechanik & Akustik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521428446
ISBN-10: 0521428440
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Marsden, Jerrold E.
Redaktion: Cassels, J. W. S.
Hitchin, N. J.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 16 mm
Von/Mit: Jerrold E. Marsden
Erscheinungsdatum: 19.05.1992
Gewicht: 0,44 kg
Artikel-ID: 101145817