Bistability, bifurcations and chaos in the Mackey-Glass equation

Numerical bifurcation analysis, and in particular two-parameter continuation, is used consort with numerical simulation to reveal complicated dynamics the Mackey-Glass equation for moderate values of delay close onset chaos. In a cusp periodic orbits resulting branches folds effectively partition parameter space into regions where different behaviours are seen. The leads directly bistability between orbits, subsequently orbit chaotic attractor. This two mechanisms by which attractor destroyed global either an interior crisis or boundary crisis. another part sequence subcritical period-doublings found give rise Torus bifurcations, codimension-two fold-flip also identified, Lyapunov exponent computations determine dimension.