A note on the multi-stage spectral relaxation method for chaos control and synchronization

Phumlani Goodwill Dlamini; Melusi Khumalo; Sandile Sydney Motsa

doi:10.1515/ijnsns-2013-0054

A note on the multi-stage spectral relaxation method for chaos control and synchronization

Phumlani Goodwill Dlamini, Melusi Khumalo, Sandile Sydney Motsa

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this study, we present and apply a new, accurate and easy to implement numerical method to realize and verify the synchronization between two identical chaotic Lorenz, Genesio-Tesi, Rössler, Chen and Rikitake systems. The proposed method is called the multi-stage spectral relaxation method (MSRM). We utilize the active control technique for the synchronization of these systems. To illustrate the effectiveness of the method, simulation results are presented and compared with results obtained using the Runge-Kutta (4, 5) based MATLAB solver, ode45.

Original language	English
Pages (from-to)	289-298
Number of pages	10
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	15
Issue number	5
DOIs	https://doi.org/10.1515/ijnsns-2013-0054
Publication status	Published - 1 Aug 2014

Keywords

chaos control and synchronization
multistage spectral relaxation method

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Computational Mechanics
Modeling and Simulation
Engineering (miscellaneous)
Mechanics of Materials
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1515/ijnsns-2013-0054

Cite this

@article{78ad936cb4874a8695cbbfe0bd8d364e,

title = "A note on the multi-stage spectral relaxation method for chaos control and synchronization",

abstract = "In this study, we present and apply a new, accurate and easy to implement numerical method to realize and verify the synchronization between two identical chaotic Lorenz, Genesio-Tesi, R{\"o}ssler, Chen and Rikitake systems. The proposed method is called the multi-stage spectral relaxation method (MSRM). We utilize the active control technique for the synchronization of these systems. To illustrate the effectiveness of the method, simulation results are presented and compared with results obtained using the Runge-Kutta (4, 5) based MATLAB solver, ode45.",

keywords = "chaos control and synchronization, multistage spectral relaxation method",

author = "Dlamini, {Phumlani Goodwill} and Melusi Khumalo and Motsa, {Sandile Sydney}",

note = "Publisher Copyright: {\textcopyright} 2014 by Walter de Gruyter Berlin/Boston 2014.",

year = "2014",

month = aug,

day = "1",

doi = "10.1515/ijnsns-2013-0054",

language = "English",

volume = "15",

pages = "289--298",

journal = "International Journal of Nonlinear Sciences and Numerical Simulation",

issn = "1565-1339",

publisher = "Walter de Gruyter GmbH",

number = "5",

}

TY - JOUR

T1 - A note on the multi-stage spectral relaxation method for chaos control and synchronization

AU - Dlamini, Phumlani Goodwill

AU - Khumalo, Melusi

AU - Motsa, Sandile Sydney

PY - 2014/8/1

Y1 - 2014/8/1

N2 - In this study, we present and apply a new, accurate and easy to implement numerical method to realize and verify the synchronization between two identical chaotic Lorenz, Genesio-Tesi, Rössler, Chen and Rikitake systems. The proposed method is called the multi-stage spectral relaxation method (MSRM). We utilize the active control technique for the synchronization of these systems. To illustrate the effectiveness of the method, simulation results are presented and compared with results obtained using the Runge-Kutta (4, 5) based MATLAB solver, ode45.

AB - In this study, we present and apply a new, accurate and easy to implement numerical method to realize and verify the synchronization between two identical chaotic Lorenz, Genesio-Tesi, Rössler, Chen and Rikitake systems. The proposed method is called the multi-stage spectral relaxation method (MSRM). We utilize the active control technique for the synchronization of these systems. To illustrate the effectiveness of the method, simulation results are presented and compared with results obtained using the Runge-Kutta (4, 5) based MATLAB solver, ode45.

KW - chaos control and synchronization

KW - multistage spectral relaxation method

UR - http://www.scopus.com/inward/record.url?scp=84907567837&partnerID=8YFLogxK

U2 - 10.1515/ijnsns-2013-0054

DO - 10.1515/ijnsns-2013-0054

M3 - Article

AN - SCOPUS:84907567837

SN - 1565-1339

VL - 15

SP - 289

EP - 298

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 5

ER -

A note on the multi-stage spectral relaxation method for chaos control and synchronization

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this