Amplitude modulation and synchronization of fractional-order memristor-based Chua's circuit

A. G. Radwan, K. Moaddy, Ishak Hashim

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number758676
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

Fingerprint

Memristors
Amplitude Modulation
Chua's Circuit
Amplitude modulation
Fractional Order
Synchronization
Networks (circuits)
Anti-synchronization
Lyapunov Stability Theory
Control Function
Scaling Function
Stability and Convergence
Nonlinear Control
Control theory
Control Theory
Generator
Cover
Controller
Controllers
Subset

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Amplitude modulation and synchronization of fractional-order memristor-based Chua's circuit. / Radwan, A. G.; Moaddy, K.; Hashim, Ishak.

In: Abstract and Applied Analysis, Vol. 2013, 758676, 2013.

Research output: Contribution to journalArticle

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