Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters

M. Mossa Al-sawalha, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lü system (third-order), theoretical analysis and numerical simulations are shown to verify the results.

Original languageEnglish
Pages (from-to)1908-1920
Number of pages13
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume17
Issue number4
DOIs
Publication statusPublished - Apr 2012

Fingerprint

Anti-synchronization
Chaotic systems
Chaos theory
Unknown Parameters
Chaotic System
Chaos
Synchronization
Fourth Order
Chen System
L-system
Hyperchaotic System
Uncertain Systems
Adaptive Control
Theoretical Analysis
Modulation
Projection
Verify
Unknown
Numerical Simulation
Computer simulation

Keywords

  • Adaptive control
  • Anti-synchronization
  • Reduced-order
  • Unknown parameters

ASJC Scopus subject areas

  • Modelling and Simulation
  • Numerical Analysis
  • Applied Mathematics

Cite this

Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters. / Mossa Al-sawalha, M.; Md. Noorani, Mohd. Salmi.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 4, 04.2012, p. 1908-1920.

Research output: Contribution to journalArticle

@article{7d0ee253890a49a0a07d2fcbb7e0bba3,
title = "Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters",
abstract = "In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and L{\"u} system (third-order), theoretical analysis and numerical simulations are shown to verify the results.",
keywords = "Adaptive control, Anti-synchronization, Reduced-order, Unknown parameters",
author = "{Mossa Al-sawalha}, M. and {Md. Noorani}, {Mohd. Salmi}",
year = "2012",
month = "4",
doi = "10.1016/j.cnsns.2011.07.015",
language = "English",
volume = "17",
pages = "1908--1920",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - Chaos reduced-order anti-synchronization of chaotic systems with fully unknown parameters

AU - Mossa Al-sawalha, M.

AU - Md. Noorani, Mohd. Salmi

PY - 2012/4

Y1 - 2012/4

N2 - In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lü system (third-order), theoretical analysis and numerical simulations are shown to verify the results.

AB - In this present paper, we elaborated the concept of the reduced-order anti-synchronization of uncertain chaotic systems. Based upon the parameters modulation and the adaptive control techniques, we show that dynamical evolution of third order chaotic system can be anti-synchronized with the projection of a fourth-order chaotic system even though their parameters are unknown. The techniques are successfully applied to several examples: hyperchaotic Chen system (fourth-order) and Lü system (third-order), theoretical analysis and numerical simulations are shown to verify the results.

KW - Adaptive control

KW - Anti-synchronization

KW - Reduced-order

KW - Unknown parameters

UR - http://www.scopus.com/inward/record.url?scp=80054970847&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80054970847&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2011.07.015

DO - 10.1016/j.cnsns.2011.07.015

M3 - Article

VL - 17

SP - 1908

EP - 1920

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 4

ER -