Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System

Joint Authors

Momani, Shaher M.
Freihat, Asad

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-26

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Freihat, Asad& Momani, Shaher M.. 2012. Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-471373

Modern Language Association (MLA)

Freihat, Asad& Momani, Shaher M.. Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-471373

American Medical Association (AMA)

Freihat, Asad& Momani, Shaher M.. Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-471373

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-471373