Application of multistep generalized differential transform method for the solutions of the fractional-order chua's system

Asad Freihat; Shaher Momani

doi:10.1155/2012/427393

Application of multistep generalized differential transform method for the solutions of the fractional-order chua's system

Asad Freihat
, Shaher Momani

University of Jordan

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

12 Scopus citations

Abstract

We numerically investigate the dynamical behavior of the fractional-order Chua's system. By utilizing the multistep generalized differential transform method (MSGDTM), we find that the fractional-order Chua's system with "effective dimension" less than three can exhibit chaos as well as other nonlinear behavior. Numerical results are presented graphically and reveal that the multistep generalized differential transform method is an effective and convenient method to solve similar nonlinear problems in fractional calculus.

Original language	English
Article number	427393
Journal	Discrete Dynamics in Nature and Society
Volume	2012
DOIs	https://doi.org/10.1155/2012/427393
State	Published - 2012
Externally published	Yes

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title = "Application of multistep generalized differential transform method for the solutions of the fractional-order chua's system",

abstract = "We numerically investigate the dynamical behavior of the fractional-order Chua's system. By utilizing the multistep generalized differential transform method (MSGDTM), we find that the fractional-order Chua's system with {"}effective dimension{"} less than three can exhibit chaos as well as other nonlinear behavior. Numerical results are presented graphically and reveal that the multistep generalized differential transform method is an effective and convenient method to solve similar nonlinear problems in fractional calculus.",

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doi = "10.1155/2012/427393",

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T1 - Application of multistep generalized differential transform method for the solutions of the fractional-order chua's system

AU - Freihat, Asad

AU - Momani, Shaher

PY - 2012

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N2 - We numerically investigate the dynamical behavior of the fractional-order Chua's system. By utilizing the multistep generalized differential transform method (MSGDTM), we find that the fractional-order Chua's system with "effective dimension" less than three can exhibit chaos as well as other nonlinear behavior. Numerical results are presented graphically and reveal that the multistep generalized differential transform method is an effective and convenient method to solve similar nonlinear problems in fractional calculus.

AB - We numerically investigate the dynamical behavior of the fractional-order Chua's system. By utilizing the multistep generalized differential transform method (MSGDTM), we find that the fractional-order Chua's system with "effective dimension" less than three can exhibit chaos as well as other nonlinear behavior. Numerical results are presented graphically and reveal that the multistep generalized differential transform method is an effective and convenient method to solve similar nonlinear problems in fractional calculus.

UR - https://www.scopus.com/pages/publications/84871370644

U2 - 10.1155/2012/427393

DO - 10.1155/2012/427393

M3 - Article

AN - SCOPUS:84871370644

SN - 1026-0226

VL - 2012

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

M1 - 427393

ER -

Application of multistep generalized differential transform method for the solutions of the fractional-order chua's system

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