Optimal Synchronization of a Memristive Chaotic Circuit

Author(s)

Kountchou, Michaux ^{[1, 2]} ; Louodop, Patrick ^{[3, 1]} ; Bowong, Samuel ^{[4, 5, 6, 7, 8]} ; Fotsin, Hilaire ^[1] ; Kurths, Jurgen ^{[9, 10]}

Affiliation

^[1] Univ Dschang, Fac Sci, Dept Phys, Lab Elect & Signal Proc, POB 67, Dschang - Cameroon

^[2] Inst Geol & Min Res, Nucl Technol Sect, POB 4110, Yaounde - Cameroon

^[3] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Sao Paulo - Brazil

^[4] LIRIMA, Project Team GRIMCAPE, Yaounde - Cameroon

^[5] Univ Yaounde I, African Ctr Excellence Informat & Commun Technol, Yaounde - Cameroon

^[6] Univ Douala, Fac Sci, Dept Math & Comp Sci, Lab Appl Math, POB 24157, Douala - Cameroon

^[7] UMI 209 IRD, Bondy - France

^[8] UPMC UMMISCO, Bondy - France

^[9] Humboldt Univ, Dept Phys, D-12489 Berlin - Germany

^[10] Potsdam Inst Climate Impact Res PIK, Telegraphenberg A 31, D-14412 Potsdam - Germany

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 26, n. 6 JUN 15 2016.
• Web of Science Citations: 3

Abstract

This paper deals with the problem of optimal synchronization of two identical memristive chaotic systems. We first study some basic dynamical properties and behaviors of a memristor oscillator with a simple topology. An electronic circuit (analog simulator) is proposed to investigate the dynamical behavior of the system. An optimal synchronization strategy based on the controllability functions method with a mixed cost functional is investigated. A finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master-slave-controller systems is also presented to show the feasibility of the proposed scheme. (AU)

• FAPESP's process: 14/13272-1 - Finite time synchronization of chaotic systems and applications
• Grantee: Patrick Herve Louodop Fotso
• Support Opportunities: Scholarships in Brazil - Post-Doctoral