  Many dynamical systems of different complexity, e.g. 1D logistic map, the
Lorentz equations, or real phenomena, like turbulent convection, show chaotic
behaviour. Despite huge differences, the dynamical scenarios for these systems
are strikingly similar: chaotic bands are born through the series of period
doubling bifurcations and merge through interior crises. Within chaotic bands
periodic windows are born through the tangent bifurcations, preceded by the
intermittent behaviour. This is a universal behaviour of dynamical systems
(Feigenbaum 1983). We demonstrate such behaviour in models of pulsating stars.
