Browsing by Author "Trikha, Pushali"

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Citation - WoS: 14
Citation - Scopus: 16
Analysis and Application Using Quad Compound Combination Anti-Synchronization on Novel Fractional-Order Chaotic System
(Springer Heidelberg, 2021) Trikha, Pushali; Baleanu, Dumitru; Jahanzaib, Lone Seth; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this manuscript, a novel fractional-order chaotic model has been investigated. The characteristic dynamics of the model have been investigated using various tools such as Lyapunov dynamics, bifurcation diagrams, equilibrium point analysis, Kaplan York dimension, existence and uniqueness of solution. The Lyapunov spectrum, bifurcation diagrams and attractors are discussed over a range of fractional order of 0.8 to 1. The considered system is synchronized by using a novel technique quad compound combination anti-synchronization using two control methods, viz. nonlinear and adaptive sliding mode technique. The obtained results of synchronization are compared with some existing literature and also illustrated its application in secure communication.
Citation - WoS: 7
Citation - Scopus: 8
Dynamical Analysis and Triple Compound Combination Anti-Synchronization of Novel Fractional Chaotic System
(Sage Publications Ltd, 2022) Jahanzaib, Lone S.; Nasreen; Baleanu, Dumitru; Trikha, Pushali; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This study introduces a novel 3-D fractional chaotic system with two quadratic terms and no equilibrium point. Thorough dynamical analysis of the introduced system is done studying Lyapunov dynamics with respect to fractional order and parameter value, Kaplan-Yorke dimension, bifurcation analysis, phase portraits, existence, and uniqueness of solution, dissipative and symmetric character, etc. The novel system is anti-synchronized using the novel technique 'triple compound combination' considering uncertainties and disturbances on a parallel system by two methods-nonlinear and adaptive sliding mode control. A proposed application of achieved synchronization in secure communication is presented. A comparative study of obtained results with published literature is also presented.