Browsing by Author "Nategh, Mehdi"

Now showing 1 - 3 of 3

Citation - WoS: 2
Citation - Scopus: 3
Almost Local Stability in Discrete Delayed Chaotic Systems
(Springer, 2017) Baleanu, Dumitru; Taghizadeh, Elham; Gilani, Zahra Goli; Nategh, Mehdi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This work studies dynamic of delayed discrete chaotic systems with bounded and unbounded delays. The time lags appear in additive which is coupled with a smooth function and nonadditive forms. It has been shown that, in both additive and nonadditive cases, the primal (non-delayed) system is neutral to the bounded delay to possess an attractive fixed point. Nevertheless, if a nonadditive and unbounded delay is supposed to affect a chaotic and measure preserving system locally, then the delay function might be sensitive to initial states. A local stabilization to the dynamics of Logistic and Gaussian maps are made and creation of attractive fixed points is illustrated.
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.
Citation - WoS: 2
Citation - Scopus: 2
Population Dynamic Caused by War Involvement Via Fractional Derivative on Time Scales
(inderscience Enterprises Ltd, 2019) Baleanu, Dumitru; Neamaty, Abdolali; Agheli, Bahram; Nategh, Mehdi; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This work suggests a model for a population dynamic caused by an enemy attack to a domain of residential areas. With the help of a local non-integer order rate of change and a new structure induced on the real line, we derive a spatial discrete diffusion equation of fractional order. Then making use of the d'Alembert's change of variable we obtain a time scale which is made of union of disjoint compact intervals. These considerations lead us to a non-homogeneous second order nonlinear differential equation. The existence of a positive solution is discussed and through a numerical example the theory is illustrated.