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Intermittent bursting in the fractional difference logistic map of matrices is studied in this paper. Analytic relationships governing the dynamics of the fractional difference map of matrices are derived in an explicit form. Computational experiments are used to prove the existence of intermittent bursts located far away from the initial conditions. Such isolated waves of temporary divergence in the fractional difference logistic map of matrices are demonstrated for the first time. Intermittent bursts of temporary divergence offer new possibilities for designing advanced information hiding algorithms.

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