The movie comprises a sequence of phase portraits of the E-I map in the vicinity of the codimension 2 point of a 1:2 resonance bifurcation occurring on a period 2 orbit as a parameter is varied.
The following pictures illustrate some elements of the nonlinear dynamics near equilibrium manifolds.
Periodic orbit continuation in the Hindmarsh-Rose model: canard explosion.
This animation illustrates the phenomenon of canard explosion in the FitzHugh-Nagumo model.
The stunning term, "Blue Sky Catastrophe" has been given to the last, out of the seven known, main bifurcations of a periodic orbit.
Resonance (mode-locking) tongues are commonly observed in smooth circle maps, and Neimark-Sacker bifurcations.
Three views on the parameterized slow motion manifolds and the 2D nullcline in a 3D leech inter-heart neuron model.