BSC1.swf - BSC1z.swf : The first example of the specific equations undergoing the catastrophe was given by

N. Gavrilov and A. Shilnikov:

(1). dx/dt = x (2+μ-β(x²+y²))+z²+y²+2y
(2). dy/dt = -z³-(1+y)(z²+y²+2y)-4x+μy
(3). dz/dt = (1+y)z²+x²+η
where β varies between 0.18 and 10, and μ=0.456, η=0.0357
A bleu sky orbit underlying catastrophe, i.e. blue sky bifurcation. For [z,y,x]. (Azimut=0°, Elevation=0°). (1'' 05')