PHYSICS · Subjective · Fermi University Physics · Mechanics & Dynamical Systems · Nonlinear dynamics and chaos · Nonlinear dynamics and chaos
Computational Physics, Ch When trajectories separate: the driven pendulum and the logistic map
Problem
For the logistic map xn+1=rxn(1−xn) at r=3.3, starting from x0=0.4, iterate the map enough times (at least 30 iterations) for the transient to die away. Report the two values of the resulting period-2 cycle to four decimal places, larger value first, and verify that applying the map once to the larger value gives the smaller one to the same precision.