Periodicity of chaotic trajectories in realizations of finite computer precisions and its implication in chaos communications
نویسندگان
چکیده
Fundamental problems of periodicity and transient process to periodicity of chaotic trajectories 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 systems are obtained. For each computation we always find, by randomly choosing initial conditions, a single dominant periodic trajectory which is realized with major portion of probability. These understandings are useful for possible applications of chaos, e.g., chaotic cryptography in secure communication.
منابع مشابه
Periodicity of chaotic trajectories of single and coupled maps in realizations of finite computer precisions
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 of coupled maps increases. Empirical exp...
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