Bifurcation Analysis of Ordinary Differential Equation Systems
Description
Shiny application that performs bifurcation and phaseplane analysis of systems of ordinary
differential equations. The package allows for computation of equilibrium curves as a function of
a single free parameter, detection of transcritical, saddle-node and hopf bifurcation points along
these curves, and computation of curves representing these transcritical, saddle-node and hopf
bifurcation points as a function of two free parameters. The shiny-based GUI allows visualization
of the results in both 2D- and 3D-plots. The implemented methods for solution localisation and curve
continuation are based on the book "Elements of applied bifurcation theory" (Kuznetsov, Y. A., 1995;
ISBN: 0-387-94418-4).