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syllabus - resonance 2 DOF systems motion in central fields...

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Syllabus for Advanced Dynamics MEE 201 FALL 2007 Instructor: Igor Mezic, Engineering II 2339, Tel: 893-7603, e-mail: [email protected] Lecture Hours: Tue – Thu 9:30-10:45 in HSSB 4201 . Office Hours: Tue -Thu 11:00-12:00, Engineering II 2339. Homeworks: Weekly. Lecture notes will be provided. Midterm exams: 1. Grading policy: Homeworks 20 %, Midterm 30 %, Final 50 %. 201 Advanced Dynamics contents: Newton’s laws and symmetries, Newton, Laplace and principle of determinism, qualitative analysis of Newton’s equations of motion: dynamical systems theory, 1 degree of freedom (DOF) systems, linear algebra and stability of fixed points, parametric
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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
  • Mezic,I
  • Hamiltonian mechanics, Lagrangian mechanics, Dynamical systems, Advanced Dynamics MEE, Applied Nonlinear Dynamical Systems

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