Perturbation Dynamics of Nonlinear Oscillators

Three main cases of nonlinear oscillators used to explore the isochron and isostable coodinate frame, and coordinate transformations.

The Hopf bifurcation normal form, FitzHugh-Nagumo and the Thalamic Neuron model are studied utilizing the isochron and isostable framework. Recovery of changes in original coordinates are also studied, by the isostable and isochron coordinate changes as well as the phase and isostable response curves. This code is in coordination with the masters thesis of Carmelo Gonzales titled 'Analyzing the Sensitivity of Nonlinear Oscillators to Parametric Perturbations using Isostable and Isochron Coordinates'.