Scicos Diagram
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2D bifurcation of the logistic map

\epsfig{file=logistique_bif_2D_diagr.eps,height=8cm}

Module


Contents

Description

The logistic map is defined by the following one-dimensional discrete-time system :

\begin{eqnarray} x\left[k+1\right]=f\left(x\left[k\right],R\right)=4 R x\left[k\right]\left(1-x\left[k\right]\right) \end{eqnarray}


This equation can be modelled by the following block diagram Fig.1, where output of the nonlinear function F() is looped back to the input via a discrete delay block.
\begin{figure}\centering \scalebox{0.7}{% \input{logistic_buf_fig.pstex_t}} \end{figure}
Figure 1: Block diagram of the logistic map

Context 


Te = 1
ci=0.5
Tfin = 0.5e5*Te

Scope Results

\begin{figure}\begin{center} \epsfig{file=logistique_bif_2D_scope_1.eps,width=330.00pt} \end{center}\end{figure}
Figure : Bifurcation diagram

Used blocks

Authors

A. Layec