Baleanu, DumitruValinejad, Mohammad RezaNategh, Mehdi02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-03-062025-09-182020-03-062025-09-182017Nategh, Mehdi; Baleanu, Dumitru; Valinejad, Mohammad Reza, "On a discrete chaos induction via an aperiodic kicks pattern", Journal Of Computational And Nonlinear Dynamics, Vol.12, No.4, (2017).1555-14231555-1415https://doi.org/10.1115/1.4035078https://hdl.handle.net/123456789/11224Nategh, Mehdi/0000-0002-0910-6157In 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.eninfo:eu-repo/semantics/closedAccessKicked Hamiltonian SystemsDevaney ChaosLi-Yorke ChaosChaotic StabilityDynamics On Time ScalesChaos AnticontrolCommunication SystemsChaotic EncryptionArticle10.1115/1.40350782-s2.0-85009987884