Scaling attractors of fractional differential systems

Changpin Li; Weihua Deng; Guanrong Chen

doi:10.1142/S0218348X06003337

Scaling attractors of fractional differential systems

Changpin Li, Weihua Deng, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

13 Citations (Scopus)

Abstract

In this paper, scaling attractors of fractional differential systems are studied with the help of synchronization methods. The synchronization error systems between the drive and response systems are analyzed by using the theory of Laplace transform. An efficient computational scheme is developed. Both numerical simulations and computer graphics show that the developed techniques work well. © World Scientific Publishing Company.

Original language	English
Pages (from-to)	303-313
Journal	Fractals
Volume	14
Issue number	4
DOIs	https://doi.org/10.1142/S0218348X06003337
Publication status	Published - Dec 2006

Research Keywords

Attractor
Fractional differential system
Scaling
Synchronization

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title = "Scaling attractors of fractional differential systems",

abstract = "In this paper, scaling attractors of fractional differential systems are studied with the help of synchronization methods. The synchronization error systems between the drive and response systems are analyzed by using the theory of Laplace transform. An efficient computational scheme is developed. Both numerical simulations and computer graphics show that the developed techniques work well. {\textcopyright} World Scientific Publishing Company.",

keywords = "Attractor, Fractional differential system, Scaling, Synchronization",

author = "Changpin Li and Weihua Deng and Guanrong Chen",

year = "2006",

month = dec,

doi = "10.1142/S0218348X06003337",

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TY - JOUR

T1 - Scaling attractors of fractional differential systems

AU - Li, Changpin

AU - Deng, Weihua

AU - Chen, Guanrong

PY - 2006/12

Y1 - 2006/12

N2 - In this paper, scaling attractors of fractional differential systems are studied with the help of synchronization methods. The synchronization error systems between the drive and response systems are analyzed by using the theory of Laplace transform. An efficient computational scheme is developed. Both numerical simulations and computer graphics show that the developed techniques work well. © World Scientific Publishing Company.

AB - In this paper, scaling attractors of fractional differential systems are studied with the help of synchronization methods. The synchronization error systems between the drive and response systems are analyzed by using the theory of Laplace transform. An efficient computational scheme is developed. Both numerical simulations and computer graphics show that the developed techniques work well. © World Scientific Publishing Company.

KW - Attractor

KW - Fractional differential system

KW - Scaling

KW - Synchronization

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33846202580&origin=recordpage

U2 - 10.1142/S0218348X06003337

DO - 10.1142/S0218348X06003337

M3 - RGC 21 - Publication in refereed journal

SN - 0218-348X

VL - 14

SP - 303

EP - 313

JO - Fractals

JF - Fractals

IS - 4

ER -

Scaling attractors of fractional differential systems

Abstract

Research Keywords

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