Application of multistep generalized differential transform method for the solutions of the fractional-order Chua's system
type: Item
instance of: scholarly article
title: Application of multistep generalized differential transform method for the solutions of the fractional-order Chua's system
zbMATH Open document ID: 1253.65121
DOI: 10.1155/2012/427393
author: Asad Freihat
author: Shaher Momani
published in: Discrete Dynamics in Nature and Society
publication date: 2012-12-18T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 37N35
zbMATH DE Number: 6116500
zbMATH Keywords: dynamical behavior
zbMATH Keywords: fractional-order Chua's system
MaRDI profile type: Publication
Wikidata QID: Q58700549
full work available at URL: https://doi.org/10.1155/2012/427393
OpenAlex ID: W2080884477
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description: scientific article; zbMATH DE number 6116500