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Browsing by Author "Valinejad, Mohammad Reza"

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    Citation - WoS: 14
    Citation - Scopus: 3
    On a Discrete Chaos Induction Via an Aperiodic Kicks Pattern
    (Asme, 2017) Baleanu, Dumitru; Valinejad, Mohammad Reza; Nategh, Mehdi; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.