clsp11p42_1-d-logistic-map

Published April 30, 2012 at 597 × 950 in Nonlinear Dynamics and Chaos: From Concept to Application

One-dimensional logistic map example of a discrete dynamical system governed by Xn+1 = f(Xn) = µ Xn(1 − Xn ). Top: Simple asymptotic behavior (convergence to stable fixed point Xe) found with the bifurcation parameter µ set below 3. Bottom: Complex chaotic behavior observed with µ = 4 (where Xe is now unstable).

One-dimensional logistic map example of a discrete dynamical system governed by Xn+1 = f(Xn) = µ Xn(1 − Xn ). Top: Simple asymptotic behavior (convergence to stable fixed point Xe) found with the bifurcation parameter µ set below 3. Bottom: Complex chaotic behavior observed with µ = 4 (where Xe is now unstable). More »