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Geometry of Nonlinear Systems : CDS 202 lecture notes

Marsden, Jerrold E. (2010) Geometry of Nonlinear Systems : CDS 202 lecture notes. [Teaching Resource] (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20101130-150707270

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Abstract

Course Description: CDS 202 is the foundation course for work in geometric mechanics and geometric control theory. In addition, students wanting to work in applied fields like fluid mechanics, elasticity, computational mechanics, computational geometry, and variational integrators will find this course useful. Topics: Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius' theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes theorem. Course Catalog: 9 units (3-0-6); second term. Prerequisite: CDS 201 or AM 125a Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius’s theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes' theorem.


Item Type:Teaching Resource
Related URLs:
URLURL TypeDescription
http://www.cds.caltech.edu/~marsden/cds202-10/homeOrganizationUNSPECIFIED
Additional Information:Includes lectures notes written by Jerrold E. Marsden for Caltech's CDS 202 Winter term course.
Subject Keywords:geometric mechanics ; geometric control theory. Basic differential geometry, oriented toward applications in control and dynamical systems. Topics include smooth manifolds and mappings, tangent and normal bundles. Vector fields and flows. Distributions and Frobenius' theorem. Matrix Lie groups and Lie algebras. Exterior differential forms, Stokes theorem.
Record Number:CaltechAUTHORS:20101130-150707270
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101130-150707270
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21076
Collection:CaltechAUTHORS
Deposited By: Shirley Johnson
Deposited On:03 Jan 2011 20:36
Last Modified:12 Jan 2011 00:11

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