Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems

Adel Ouannas; Zaid Odibat; Ahmed Alsaedi; Aatef Hobiny; Tasawar Hayat

doi:10.1016/j.cjph.2018.09.003

Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems

Adel Ouannas
, Zaid Odibat
, Ahmed Alsaedi
, Aatef Hobiny
, Tasawar Hayat

University of Tebessa
German Jordanian University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University

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

28 Scopus citations

Abstract

Chaos and synchronization in fractional order systems have received increasing attention in recent years. In this paper, the problem of Q-S synchronization for different dimensional incommensurate fractional order chaotic systems is investigated. Based on Laplace transform and stability theory of linear integer order differential systems, some synchronization schemes are designed to achieve Q-S synchronization between n-D and m-D incommensurate fractional order chaotic systems. Test problems and numerical simulations are used to show the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	1940-1948
Number of pages	9
Journal	Chinese Journal of Physics
Volume	56
Issue number	5
DOIs	https://doi.org/10.1016/j.cjph.2018.09.003
State	Published - Oct 2018
Externally published	Yes

Keywords

Caputo fractional derivative
Chaos
Control
Fractional order system
Incommensurate system
Q-S synchronization
Stability

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10.1016/j.cjph.2018.09.003

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title = "Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems",

abstract = "Chaos and synchronization in fractional order systems have received increasing attention in recent years. In this paper, the problem of Q-S synchronization for different dimensional incommensurate fractional order chaotic systems is investigated. Based on Laplace transform and stability theory of linear integer order differential systems, some synchronization schemes are designed to achieve Q-S synchronization between n-D and m-D incommensurate fractional order chaotic systems. Test problems and numerical simulations are used to show the effectiveness of the proposed approach.",

keywords = "Caputo fractional derivative, Chaos, Control, Fractional order system, Incommensurate system, Q-S synchronization, Stability",

author = "Adel Ouannas and Zaid Odibat and Ahmed Alsaedi and Aatef Hobiny and Tasawar Hayat",

note = "Publisher Copyright: {\textcopyright} 2018 The Physical Society of the Republic of China (Taiwan)",

year = "2018",

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doi = "10.1016/j.cjph.2018.09.003",

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T1 - Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems

AU - Ouannas, Adel

AU - Odibat, Zaid

AU - Alsaedi, Ahmed

AU - Hobiny, Aatef

AU - Hayat, Tasawar

PY - 2018/10

Y1 - 2018/10

N2 - Chaos and synchronization in fractional order systems have received increasing attention in recent years. In this paper, the problem of Q-S synchronization for different dimensional incommensurate fractional order chaotic systems is investigated. Based on Laplace transform and stability theory of linear integer order differential systems, some synchronization schemes are designed to achieve Q-S synchronization between n-D and m-D incommensurate fractional order chaotic systems. Test problems and numerical simulations are used to show the effectiveness of the proposed approach.

AB - Chaos and synchronization in fractional order systems have received increasing attention in recent years. In this paper, the problem of Q-S synchronization for different dimensional incommensurate fractional order chaotic systems is investigated. Based on Laplace transform and stability theory of linear integer order differential systems, some synchronization schemes are designed to achieve Q-S synchronization between n-D and m-D incommensurate fractional order chaotic systems. Test problems and numerical simulations are used to show the effectiveness of the proposed approach.

KW - Caputo fractional derivative

KW - Chaos

KW - Control

KW - Fractional order system

KW - Incommensurate system

KW - Q-S synchronization

KW - Stability

UR - https://www.scopus.com/pages/publications/85053529042

U2 - 10.1016/j.cjph.2018.09.003

DO - 10.1016/j.cjph.2018.09.003

M3 - Article

AN - SCOPUS:85053529042

SN - 0577-9073

VL - 56

SP - 1940

EP - 1948

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

IS - 5

ER -

Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems

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Keywords

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