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Matlab Tutorial
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Not So Short Guide to Latex (pdf)
How to write mathematics (pdf)
Templates
Euler Integration (m-file)
Phase Portraits (m-file)
How to plot phase portraits (pdf)
Latex Template (txt)
Latex Template (pdf)
Latex Template Figure 1 (pdf)
Latex Template Figure 2 (pdf)
BSLC Lab Instructions
Opening and using Matlab
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Applied Nonlinear Dynamics, Fall 2010
This is a short, six week, introduction to nonlinear dynamics primer for students interested in mathematical modeling and applied math research. It is taught directly out of the Part I of Nonlinear Dynamics and Chaos by S. Strogatz. The course will be a broad introduction, requiring only single variable calculus as a prerequisite. As in any applied mathematics course, the goal is to come away with an understanding of the mathematical tools and features of nonlinear dynamics:
A geometric way of thinking
Fixed point and stability analysis
Existence and uniqueness of solutions
Applications to physical systems and modeling
Schedule
DATE
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DAY
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TIME
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PLACE
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TOPIC
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Oct. 1
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F
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5:00-6:30
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TBA
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Flows on the line (Ch. 1-2)
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Oct. 4
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M
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5:00-6:30
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TBA
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Bifurcations (Ch. 3)
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Oct. 8
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F
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5:00-6:30
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TBA
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Flows on the circle (Ch. 4)
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Oct. 11
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M
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5:00-6:30
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TBA
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2D systems and phase portraits (Ch. 5-6)
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Oct. 15
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F
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5:00-6:30
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TBA
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Phase portrats (Ch. 6)
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Oct. 18
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M
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5:00-6:30
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TBA
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Limit cycles (Ch. 7)
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Oct. 22
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F
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5:00-6:30
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TBA
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Bifurcations revisited (Ch. 8)
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Oct. 25
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M
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5:00-6:30
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TBA
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Oscillating chemical reactions
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Oct. 29
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F
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5:00-6:30
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TBA
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The tumbling box
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