Lectures on Mechanics

Klappentext 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. Zusammenfassung Employing geometry to classical mechanics can prove to be a fruitful exercise! and such methods have proved to have wide applications to physics and engineering. The main points that are covered are the stability of relative equilibria! geometric phases! mechanical integrators! stabilization and control! 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.

Dettagli sul prodotto

• Autori: Jerrold Marsden, Jerrold E. Marsden, Jerrold E. (University of California Marsden
• Con la collaborazione di: J. W. S. Cassels (Editore), N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 30.04.1992
• EAN: 9780521428446
• ISBN: 978-0-521-42844-6
• Pagine: 268
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Fisica, astronomia > Meccanica, acustica