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Nonlinear Dynamics and Chaos

Lecture Notes

The lecture notes below supplement the textbook:  Strogatz, S. Nonlinear Dynamics and Chaos.Reading, MA: Addison-Wesley, 1994. ISBN: 9780201543445.

  • Bead on a Thin, Rigid, Wire (PDF)
  • Bifurcations: Baby Normal Forms (PDF)
  • Tricky Asymptotic Fixed Point Notes (PDF)
  • Weakly Nonlinear Oscillators (PDF)
  • Hopf Bifurcations (PDF)

Assignments

Assignment Policies (PDF)

Some of the problem sets for this course are derived from this master problem set list. (PDF)

Problem Sets

ASSIGNMENTS

SUPPORTING FILES

Problem Set 1(PDF)

 

Problem Set 2 (PDF)

 

Problem Set 3 (PDF)

 

Problem Set 4 (PDF)

 

Problem Set 5 (PDF)

Variable Length Pendulum Problem (PDF)
Fourier Series Problem Statement (PDF)

MATLAB® for Fourier Series

readmeFouSer.m (M)
fourierSC.m (M)
FSFun.m (M)
FSoption.m (M)
FSoptionP.m (M)
heatSln.m (M)
gibbsFSE.m (M)
Lissajous.m (M) (Use to make Lissajous Figures)

 

MATLAB® Information

Exams

Each exam is worth 40% of the grade.

Exam 1 (PDF)

Exam 2 (PDF)

  • Needed for Exam 2: Balancing a Broom Problem (PDF)
  • Needed for Exam 2: Coastline Fractal Problem (PDF)
  • Help for Exam 2: Variable Length Pendulum Problem (PDF)