Classical Mechanics: A Computational Approach, Fall 2002
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| Type: | Course Related Materials |
| Grade Level: | Post-secondary |
Author: Sussman, Gerald Jay
Subject: Science and Technology
Institution Name:
M.I.T.
Collection Name: MIT OpenCourseWare
Abstract: Classical mechanics in a computational framework. Lagrangian formulation. Action, variational principles. Hamilton's principle. Conserved quantities. Hamiltonian formulation. Surfaces of section. Chaos. Liouville's theorem and Poincar, integral invariants. Poincar,-Birkhoff and KAM theorems. Invariant curves. Cantori. Nonlinear resonances. Resonance overlap and transition to chaos. Properties of chaotic motion. Transport, diffusion, mixing. Symplectic integration. Adiabatic invariants. Many-dimensional systems, Arnold diffusion. Extensive use of computation to capture methods, for simulation, and for symbolic analysis.
Details
Course Type: Full Course
Material Types: Homework and Assignments, Other, Syllabi
Media Formats: Text/HTML, Downloadable docs
Language: English
Additional Information
Geographic
Regional Relevance: All
