ABSTRACT
In expansion to the basic definition, this chapter considers a change of a parameter-value, which stands for an external influence. It discusses the Cauchy-Principle to extend our results to sufficiently slowly varying real parameters and physical experiments. The chapter describes the delayed dynamic bifurcation that can occur when µ is replaced by a slowly varying function crossing the bifurcation point. It presents only two simulations, the delayed pitchfork bifurcation and the meaning of noise. The presence of noise makes it impossible to find a delay of bifurcation when the parameter speed e becomes too small. Different numerical simulations were done by Mathematica to show the meaning of the results. Ferromagnetic samples excited by strong microwave fields show a variety of nonlinear phenomena, ending up in chaos.
