The lecture notes below supplement the textbook: Strogatz, S. Nonlinear Dynamics and Chaos. Reading, MA: Addison-Wesley, 1994. ISBN: 0201543443.
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)