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Fundamental problems of periodicity and transient process to periodicity of chaotic tra-jectories in computer realization with finite computation precision is investigated by taking single and coupled Logistic maps as examples. Empirical power law relations of the period and transient iterations with the computation precisions and the sizes of coupled(More)
A fundamental periodicity problem of chaotic trajectories in computer realization with finite computation precision is investigated systematically by taking single and coupled Logistic maps as examples. Low-dimensional chaotic trajectories have rather short periods even with double precision computation , while the period increases rapidly when the number(More)
Spatiotemporal chaos of a two-dimensional one-way coupled map lattice is used for chaotic cryptography. The chaotic outputs of many space units are used for encryption simultaneously. This system shows satisfactory cryptographic properties of high security; fast encryption (decryption) speed; and robustness against noise disturbances in communication(More)
Recently, Fu et al. proposed a chaos-based medical image encryption scheme that has permutation-substitution architecture. The authors believe that the scheme with bit-level cat map shuffling can be achieved at high level of security even if it is only applied with a few encryption rounds. However, we find that the scheme cannot resist differential(More)
Many practical systems can be described by dynamic networks, for which modern technique can measure their outputs, and accumulate extremely rich data. Nevertheless, the network structures producing these data are often deeply hidden in the data. The problem of inferring network structures by analyzing the available data, turns to be of great significance.(More)
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