PERIODICITY OF CHAOTIC TRAJECTORIES IN REALIZATIONS OF FINITE COMPUTER PRECISIONS AND ITS IMPLICATION IN CHAOS COMMUNICATIONS
2004 ◽
Vol 18
(17n19)
◽
pp. 2617-2622
◽
Keyword(s):
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.
2019 ◽
Vol 8
(2S7)
◽
pp. 603-605
Keyword(s):
2016 ◽
Vol 30
(1)
◽
pp. 185-206
◽
Keyword(s):
2021 ◽
2017 ◽
Vol 470
(1)
◽
pp. 500-511
◽
Keyword(s):
2001 ◽
Vol 11
(06)
◽
pp. 1723-1735
◽
2016 ◽
Vol 26
(09)
◽
pp. 1630023
◽
2010 ◽
Vol 20
(12)
◽
pp. 4097-4101