me961syllabus06 - Later we get into analysis techniques and...

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ME 961 Nonlinear Dynamics and Chaos Fall 2006 The goal of this course is to introduce the students to some aspects of modern nonlinear dynamical systems, and to provide a basis for further independent study. We will seek qualitative information about system behavior, and how this qualitative information is dependent on system parameters. Instructor: Brian Feeny 2328-C Engineering Building 3-9451 [email protected] Outline This course is roughly divided into three parts. 1. Analysis of Mathematical Models (ordinary differential equations and maps). This part will probably take about half of the course. At first it is dominated by many definitions, geometric concepts, and theorems, accompanied by some examples.
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Unformatted text preview: Later, we get into analysis techniques and bifurcations. 2. Symbol Dynamics and Chaotic Sets. More definitions. Symbol dynamics is a great tool for describing complex behavior. 3. Routes to Chaos. Standard machanisms by which nonlinear dynamic systems can change from regular to chaotic as parameters are varied. Grading 50% homework sets. 25% exam 1 25% exam 2 Policy for Homework: Goal is to learn. 1. You may discuss problems, but write up your own solutions. 2. You must try every HW problem. If you are clueless, explain why. 3. Must cite work that is not your own. (Within reason, this will not cost "points".) Think Geometrically!...
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  • Spring '08
  • nonlinear¬†dynamical¬†systems, Analysis of Mathematical Models, Brian Feeny, symbol dynamics, Brian Feeny 2328-C

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