Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit | Zendy

Ahmed G. Radwan | Zendy; Khaled Moaddy | Zendy; Ishak Hashim | Zendy

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Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit

Author(s) -

Ahmed G. Radwan,

Khaled Moaddy,

Ishak Hashim

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/758676

Subject(s) - synchronization (alternating current) , control theory (sociology) , mathematics , memristor , nonlinear system , constant (computer programming) , controller (irrigation) , lyapunov stability , chua's circuit , synchronization of chaos , amplitude , modulation (music) , stability (learning theory) , scaling , lyapunov function , chaotic , topology (electrical circuits) , computer science , mathematical analysis , control (management) , attractor , electronic engineering , physics , acoustics , engineering , biology , geometry , quantum mechanics , machine learning , agronomy , programming language , combinatorics , artificial intelligence

This paper presents a general synchronization technique and an amplitude modulation of chaotic generators. Conventional synchronization and antisynchronization are considered a very narrow subset from the proposed technique where the scale between the output response and the input response can be controlled via control functions and this scale may be either constant (positive, negative) or time dependent. The concept of the proposed technique is based on the nonlinear control theory and Lyapunov stability theory. The nonlinear controller is designed to ensure the stability and convergence of the proposed synchronization scheme. This technique is applied on the synchronization of two identical fractional-order Chua's circuit systems with memristor. Different examples are studied numerically with different system parameters, different orders, and with five alternative cases where the scaling functions are chosen to be positive/negative and constant/dynamic which covers all possible cases from conventional synchronization to the amplitude modulation cases to validate the proposed concept

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