Perioddoubling critical behavior 


Description The critical situation may appear in twoparameter analysis of generic 2D maps and dissipative systems with 4D phase space as the terminal point of Feigenbaum’s curve. Also it occurs in oneparameter analysis of areapreserving 2D maps, nonautonomous Hamiltonian systems with one degree of freedom, autonomous Hamiltonian systems with 2 degrees of freedom. This type of critical behavior is known after MacKay, Helleman, Eckmann et al. RG equation The orbital scaling factors Critical multipliers Relevant eigenvalues Codimension 
Basic model  Hénon map Scaling of the parameter plane with factors Scaling coordinates Scaling of the phase plane with factors Scaling coordinates 