Ithasbeen found thatthe periodic change and period dubling of the gross nationalproduct have taken place under the regulation of grow ing rate w hen the grow ing rateleads to a certain value,chaosbehaviorin the gross nationalproduct willappear.

Floquet theory and the method of harmonic balance are applied to investigate period doubling bifurcations affacted by initial buckling, damping, frequency and amplitude of excitation in the 1/2 subharmonic resonance.

Period doubling bifurcation and chaos in the induction of ventricular fibrillation by rapid pacing;

Analysis of period doubling bifurcation in power system;

With this device, we can observe that a series of nonlinear phenomena, such as period doubling bifurcation, strange atrractor, and limited chaos, appear respectively under the different initial conditions.

Studying the nonlinear dynamics of a two-peak chaotic system,we found that the behaviour of the system begins with chaos,through intermittent chaotic,fixed points,period-doubling bifurcations to two chaotic attractors,converges to another fixed point,finally turns up to a new chaotic state.

Mechanism of period-doubling bifurcation in DCM DC-DC converter;

Controlling the period-doubling bifurcation of logistic model;

By using second-order averaging method,this paper analyzes the primary resonance bifurca- tion and period-doubling bifurcation in a single-machine infinite-bus power system disturbed by a periodic load,which changes the problems of periodic orbit bifurcations into those of equilibrium bifurcations.