12.620J / 6.946J / 8.351J Classical Mechanics: A Computational Approach, Fall 2002

12.620J / 6.946J / 8.351J Classical Mechanics: A Computational Approach, Fall 2002

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 theorem...

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Bibliographic Details
Main Authors: Sussman, Gerald Jay, Wisdom, Jack
Other Authors: Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Format: Learning Object
Language:en-US
Published: 2002
Subjects:
classical mechanics
phase space
computation
Lagrangian formulation
action
variational principles
equations of motion
Hamilton's principle
conserved quantities
rigid bodies and tops
Hamiltonian formulation
canonical equations
surfaces of section
chaos
canonical transformations
generating functions
Liouville's theorem
Poincaré integral invariants
Poincaré-Birkhoff
KAM theorem
invariant curves
cantori
nonlinear resonances
resonance overlap
transition to chaos
chaotic motion
12.620J
6.946J
8.351J
12.620
6.946
8.351
Mechanics
Online Access:http://hdl.handle.net/1721.1/52321

Internet

http://hdl.handle.net/1721.1/52321

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