Notes on dynamical systems

• Notes on approximating a multi-dimensional dynamical system near a saddle-point bifurcation by a one-dimensional one.
• Notes on building dynamical systems exhibiting super- and sub-critical Andronov-Hopf bifurcations.
• Error report on the derivation of the supercritical Andronov-Hopf bifurcation in Section 6.1.3 of Izhikevich 2007. Python code to confirm the error.
• Verification of Malkin's theorem and error report onf Figures 10.26 and 10-30a of Izhikevich 2007. Work in progress.