Period-doubling bifurcation
（重定向自Period doubling bifurcation）
![](/Images/godic/202502/02/Logistic_Bifurcation_map_High_Resolution4409.png")
![Bifurcation diagram for the modified Phillips curve.](/Images/godic/202502/02/Bifurc_pi_empl4409.jpg")
![Bifurcation from period 1 to 2 for complex quadratic map](/Images/godic/202502/02/Bifurcation1-24409.png")
![Period-halving bifurcations (L) leading to order, followed by period doubling bifurcations (R) leading to chaos.](/Images/godic/202502/02/Chaosorderchaos4410.png")
In mathematics, a period doubling bifurcation in a discrete dynamical system is a bifurcation in which a slight change in a parameter value in the system's equations leads to the system switching to a new behavior with twice the period of the original system. With the doubled period, it takes twice as many iterations as before for the numerical values visited by the system to repeat themselves.