18.385 Nonlinear Dynamics and Chaos, Fall 2002
Citable URI: http://hdl.handle.net/1721.1/36890
| Title: | 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| Author: | Rosales, Rodolfo |
| Abstract: | Nonlinear dynamics with applications. Intuitive approach with emphasis on geometric thinking, computational and analytical methods. Extensive use of demonstration software. Topics: Bifurcations. Phase plane. Nonlinear coupled oscillators in biology and physics. Perturbation, averaging theory. Parametric resonances, Floquet theory. Relaxation oscillations. Hysterises. Phase locking. Chaos: Lorenz model, iterated mappings, period doubling, renormalization. Fractals. Hamiltonian systems, area preserving maps; KAM theory. |
| URI: | http://hdl.handle.net/1721.1/36890 |
| Issue Date: | 2002-12 |
| Keywords: | Phase plane, limit cycles, Poincare-Bendixson theory, Time-dependent systems, Floquet theory, Poincare maps, averaging, Stability of equilibria, near-equilibrium dynamics, Center manifolds, elementary bifurcations, normal forms, chaos, Chaotic behavior in systems, Dynamics, 270199, Mathematics, Other |
| ID: | 18.385-Fall2002 |
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| 18-385Fall-2002 ... l2002/CourseHome/index.htm | 14.89Kb | text/html |
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