Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit
Joint Authors
Moaddy, K.
Radwan, A. G.
Hashim, Ishak
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Radwan, A. G.& Moaddy, K.& Hashim, Ishak. 2013. Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-496453
Modern Language Association (MLA)
Radwan, A. G.…[et al.]. Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-496453
American Medical Association (AMA)
Radwan, A. G.& Moaddy, K.& Hashim, Ishak. Amplitude Modulation and Synchronization of Fractional-Order Memristor-Based Chua's Circuit. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-496453
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496453