A Piecewise Linear Electronic Circuit with a Multiplicity of bifurcations

Some theoretical bifurcation results previously obtained by the authors are applied to describe the bifurcation set of a piecewise linear electronic circuit with two state variables. The circuit under study was proposed, in a slightly more general version, in 1983 by J. P. Keener to simulate a finite dimensional formulation of the Fitzghugh–Nagumo equations in a piecewise linear approach. Three parameters are needed to unfold all the possible bifurcations that give rise to a multiplicity of dynamical behaviors.