On the possibility for an autooscillatory system under external periodic drive action to exhibit universal behavior characteristic of the transition to chaos via period-doubling bifurcations in conservative systems

We propose a model of an autooscillatory system that admits the physical realization of the universal Hamiltonian-type critical behavior at a threshold of the transition to chaos that is characteristic of conservative systems. For this model, an approximate discrete map is obtained and the coordinates of the corresponding critical point are evaluated.