| dc.contributor.author |
Rosales, Rodolfo |
|
| dc.coverage.temporal |
Fall 2002 |
|
| dc.date.accessioned |
2007-03-28T10:30:35Z |
|
| dc.date.available |
2007-03-28T10:30:35Z |
|
| dc.date.issued |
2002-12 |
|
| dc.identifier |
18.385-Fall2002 |
|
| dc.identifier.other |
18.385 |
|
| dc.identifier.other |
IMSCP-MD5-5fd714015fd58337b1dbcc699ddd8658 |
|
| dc.identifier.uri |
http://hdl.handle.net/1721.1/36890 |
|
| dc.description.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. |
en |
| dc.description.provenance |
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Previous issue date: 2002-12 |
en |
| dc.language.iso |
en-US |
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| dc.rights |
This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. |
en |
| dc.subject |
Phase plane |
en |
| dc.subject |
limit cycles |
en |
| dc.subject |
Poincare-Bendixson theory |
en |
| dc.subject |
Time-dependent systems |
en |
| dc.subject |
Floquet theory |
en |
| dc.subject |
Poincare maps |
en |
| dc.subject |
averaging |
en |
| dc.subject |
Stability of equilibria |
en |
| dc.subject |
near-equilibrium dynamics |
en |
| dc.subject |
Center manifolds |
en |
| dc.subject |
elementary bifurcations |
en |
| dc.subject |
normal forms |
en |
| dc.subject |
chaos |
en |
| dc.subject.lcsh |
Chaotic behavior in systems |
en |
| dc.subject.lcsh |
Dynamics |
en |
| dc.title |
18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
en |
| dc.title.alternative |
Nonlinear Dynamics and Chaos |
en |
| dc.audience.educationlevel |
Graduate |
|
| dc.subject.cip |
270199 |
en |
| dc.subject.cip |
Mathematics, Other |
en |
