Stability and Unstability of Chaos in Stretch-Twist-Fold Flow (STF)-Reference-Cited by-同舟云学术

Stability and Unstability of Chaos in Stretch-Twist-Fold Flow (STF)

Published:2013-01 Issue: Volume:631-632 Page:1436-1440
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Shahab Ud Din Khan¹,Shu Yong Lu¹,Salah Ud Din Khan²

Affiliation:

1. Chongqing University

2. King Saud University

Abstract

In this study, the Adomian's decomposition method (ADM) is applied to the STF system. This method has been tested on the STF system which is a three-dimensional system of ODE with quadratic nonlinearities. A computer based Matlab program has been developed in order to solve the STF system. Chaotic and non-chaotic behavior of the system has been analyzed graphically and finally a comparison as well as accuracy between two systems has been made in two-step sizes with detail.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.631-632.1436.pdf

Reference13 articles.

1. G. Adomian, Nonlinear stochastic system theory and application to physics, Dordrech: Kluwer Academic, (1989).

2. G. Adomian, Solving frontier problems of physics: the decomposition method, Boston: Kluwer Academic, (1994).

3. G. Adomian, Analytic solution of nonlinear integral equations of Hammerstein type, Appl. Math. Lettl. 11 (1998)127–130.

4. D. J . Evans and K. R. Raslan, The Adomian decomposition method for solving delay diﬀerential equations, Int. J. Comput. Math. 82 (2005)49–54.

5. I. Hashim , M . S . M . Noorani, R. Ahmad, S. A. Bakar, E . S . Ismail and A. M. Zakaria, Accuracy of the Adomian decomposition method applied to the Lorenz system, Chaos, Solitons and Fractals 28 (2006)1149–1158.