In this work, a class of kicked systems perturbed with an irregular kicks pattern is studied and formation of a chaos in the senses of Devaney and Li–Yorke in the corresponding discretized system is investigated. Beside a discussion on chaotic stability, an example is presented. Then, the existence of a period three orbit of a 2D map which governs a class of dynamic problems on time scales is studied. As an application, a chaotic encryption scheme for a time-dependent plain text with the help of chaos induction in the sense of Li–Yorke is presented.
On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received August 10, 2016; final manuscript received October 7, 2016; published online January 20, 2017. Assoc. Editor: Hiroshi Yabuno.
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Nategh, M., Baleanu, D., and Reza Valinejad, M. (January 20, 2017). "On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern." ASME. J. Comput. Nonlinear Dynam. July 2017; 12(4): 041008. https://doi.org/10.1115/1.4035078
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