Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation

Abstract

Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We confirmed that the convergence to the fixed point in both logistic and cubic maps for a region close to… (More)
DOI: 10.3390/e15104310

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