Academic curiosity...

Topology for Dummies (A small summary)

Discontinuity Maps

Zero time Discontinuity Map

(The last two files are based on "Piecewise-smooth Dynamical Systems: Theory and Applications" by M. di Bernardo, C. J. Budd, A. R. Champneys, P. Kowalczyk.)

Jacobians

Jacobian at an arbitrary point of a general orbit

Studying a Nonlinear System Using Linear Methods

When do we need the saltation matrix?

Stability Analysis of Limit Cycles