Spontaneous Synchronization in Two Mutually Coupled Memristor-Based Chua’s Circuits : Numerical Investigations
Joint Authors
Bilotta, Eleonora
Pantano, Pietro
Chiaravalloti, Francesco
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Chaotic dynamics of numerous memristor-based circuits is widely reported in literature.
Recently, some works have appeared which study the problem of synchronization control of these systems in a master-slave configuration.
In the present paper, the spontaneous dynamic behavior of two chaotic memristor-based Chua’s circuits, mutually interacting through a coupling resistance, was studied via computer simulations in order to study possible self-organized synchronization phenomena.
The used memristor is a flux controlled memristor with a cubic nonlinearity, and it can be regarded as a time-varying memductance.
The memristor, in effect, retains memory of its past dynamic and any difference in the initial conditions of the two circuits results in different values of the corresponding memductances.
In this sense, due to the memory effect of the memristor, even if coupled circuits have the same parameters they do not constitute two completely identical chaotic oscillators.
As is known, for nonidentical chaotic systems, in addition to complete synchronizations (CS) other weaker forms of synchronization which provide correlations between the signals of the two systems can also occur.
Depending on initial conditions and coupling strength, both chaotic and nonchaotic synchronization are observed for the system considered in this work.
American Psychological Association (APA)
Bilotta, Eleonora& Chiaravalloti, Francesco& Pantano, Pietro. 2014. Spontaneous Synchronization in Two Mutually Coupled Memristor-Based Chua’s Circuits : Numerical Investigations. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-483676
Modern Language Association (MLA)
Bilotta, Eleonora…[et al.]. Spontaneous Synchronization in Two Mutually Coupled Memristor-Based Chua’s Circuits : Numerical Investigations. Mathematical Problems in Engineering No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-483676
American Medical Association (AMA)
Bilotta, Eleonora& Chiaravalloti, Francesco& Pantano, Pietro. Spontaneous Synchronization in Two Mutually Coupled Memristor-Based Chua’s Circuits : Numerical Investigations. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-483676
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483676