The logistic map of matrices
2011
The standard iterative logistic map is extended by replacing the
scalar variable by a square matrix of variables. Dynamical
properties of such an iterative map are explored in detail when
the order of matrices is 2. It is shown that the evolution of the
logistic map depends not only on the control parameter but also on
the eigenvalues of the matrix of initial conditions. Several
computational examples are used to demonstrate the convergence to
periodic attractors and the sensitivity of chaotic processes to
initials conditions.
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