Unformatted text preview: resonance, 2 DOF systems, motion in central fields and application to molecular dynamics, control of classical dynamical systems, Lagrangian mechanics: variational principles and Euler-Lagrange equations, Legendre transform, equivalence of Lagrangian and Hamiltonian mechanics, volume preservation, chaos and ergodic theory, rigid body motion. Recommended Literature: McCauley, J. L.: “Classical Mechanics; Transformations, Flows, Integrable and Chaotic Dynamics” Wiggins, S.: “Introduction to Applied Nonlinear Dynamical Systems and Chaos” Arnold, V. I.: “Mathematical Methods of Classical Mechanics”...
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- Fall '08
- Hamiltonian mechanics, Lagrangian mechanics, Dynamical systems, Advanced Dynamics MEE, Applied Nonlinear Dynamical Systems