18.385 Nonlinear Dynamics and Chaos, Fall 2002
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. Parame...
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| Format: | Learning Object |
| Language: | en-US |
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2002
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| Online Access: | http://hdl.handle.net/1721.1/36890 |
| _version_ | 1826199048064860160 |
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| author | Rosales, Rodolfo |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Rosales, Rodolfo |
| author_sort | Rosales, Rodolfo |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:13:35Z |
| format | Learning Object |
| id | mit-1721.1/36890 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2025-03-10T09:32:08Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | mit-1721.1/368902025-02-24T15:06:55Z 18.385 Nonlinear Dynamics and Chaos, Fall 2002 Nonlinear Dynamics and Chaos Rosales, Rodolfo Massachusetts Institute of Technology. Department of Mathematics 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 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. 2002-12 Learning Object 18.385-Fall2002 local: 18.385 local: IMSCP-MD5-5fd714015fd58337b1dbcc699ddd8658 http://hdl.handle.net/1721.1/36890 en-US Usage Restrictions: 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. text/html Fall 2002 |
| spellingShingle | 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 Rosales, Rodolfo 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| title | 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| title_full | 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| title_fullStr | 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| title_full_unstemmed | 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| title_short | 18.385 Nonlinear Dynamics and Chaos, Fall 2002 |
| title_sort | 18 385 nonlinear dynamics and chaos fall 2002 |
| topic | 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 |
| url | http://hdl.handle.net/1721.1/36890 |
| work_keys_str_mv | AT rosalesrodolfo 18385nonlineardynamicsandchaosfall2002 AT rosalesrodolfo nonlineardynamicsandchaos |