Chaotic fractional-order Coullet system: Synchronization and control approach

M. Shahiri; R. Ghaderi; A. Ranjbar N.; S. H. Hosseinnia; S. Momani

doi:10.1016/j.cnsns.2009.05.054

Chaotic fractional-order Coullet system: Synchronization and control approach

M. Shahiri
, R. Ghaderi
, A. Ranjbar N.
, S. H. Hosseinnia
, S. Momani

Babol Noshirvani University of Technology
Golestan University
University of Mutah

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

50 Scopus citations

Abstract

The main objective of this study is to investigate and control the chaotic behaviour of fractional-order Coullet system, including the necessary condition for appearance of chaos. An active control technique, in a master-slave structure for synchronization is suggested to control this chaotic system. The stability condition is obtained in both of theoretical analysis and simulation manner. The numerical simulation verifies the performance of the proposed controller.

Original language	English
Pages (from-to)	665-674
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	15
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2009.05.054
State	Published - Mar 2010
Externally published	Yes

Keywords

Active control
Chaos
Coullet system
Fractional-order differential equations (FDEs)
Nonlinear control
Synchronization

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10.1016/j.cnsns.2009.05.054

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title = "Chaotic fractional-order Coullet system: Synchronization and control approach",

abstract = "The main objective of this study is to investigate and control the chaotic behaviour of fractional-order Coullet system, including the necessary condition for appearance of chaos. An active control technique, in a master-slave structure for synchronization is suggested to control this chaotic system. The stability condition is obtained in both of theoretical analysis and simulation manner. The numerical simulation verifies the performance of the proposed controller.",

keywords = "Active control, Chaos, Coullet system, Fractional-order differential equations (FDEs), Nonlinear control, Synchronization",

author = "M. Shahiri and R. Ghaderi and \{Ranjbar N.\}, A. and Hosseinnia, \{S. H.\} and S. Momani",

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T2 - Synchronization and control approach

AU - Shahiri, M.

AU - Ghaderi, R.

AU - Ranjbar N., A.

AU - Hosseinnia, S. H.

AU - Momani, S.

PY - 2010/3

Y1 - 2010/3

N2 - The main objective of this study is to investigate and control the chaotic behaviour of fractional-order Coullet system, including the necessary condition for appearance of chaos. An active control technique, in a master-slave structure for synchronization is suggested to control this chaotic system. The stability condition is obtained in both of theoretical analysis and simulation manner. The numerical simulation verifies the performance of the proposed controller.

AB - The main objective of this study is to investigate and control the chaotic behaviour of fractional-order Coullet system, including the necessary condition for appearance of chaos. An active control technique, in a master-slave structure for synchronization is suggested to control this chaotic system. The stability condition is obtained in both of theoretical analysis and simulation manner. The numerical simulation verifies the performance of the proposed controller.

KW - Active control

KW - Chaos

KW - Coullet system

KW - Fractional-order differential equations (FDEs)

KW - Nonlinear control

KW - Synchronization

UR - https://www.scopus.com/pages/publications/70349811334

U2 - 10.1016/j.cnsns.2009.05.054

DO - 10.1016/j.cnsns.2009.05.054

M3 - Article

AN - SCOPUS:70349811334

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VL - 15

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EP - 674

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

Chaotic fractional-order Coullet system: Synchronization and control approach

Abstract

Keywords

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