NUMERICAL SIMULATION OF CHAOTIC DYNAMICAL SYSTEMS BY THE METHOD OF DIFFERENTIAL QUADRATURE

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

EFTEKHARI S.A.; JAFARI A.A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: SCIENTIA IRANICA Year:2012 | Volume:19 | Issue:5 (TRANSACTIONS B: MECHANICAL ENGINEERING) Page(s): 1299-1315

Download Full-Text

View:

525

Download:

225

Cites:

Information Journal Paper

Title

NUMERICAL SIMULATION OF CHAOTIC DYNAMICAL SYSTEMS BY THE METHOD OF DIFFERENTIAL QUADRATURE

Author(s)

EFTEKHARI S.A. | JAFARI A.A. | Issue Writer Certificate

Keywords

DIFFERENTIAL QUADRATURE METHOD (DQM)

LORENZ SYSTEM

CHEN SYSTEM

GENESIO SYSTEM

HYPERCHAOTIC ROSSLER SYSTEM

FOURTH-ORDER RUNGE-KUTTA METHOD (RK4)

Abstract

In this paper, the differential quadrature (DQ) method is employed to solve some nonlinear chaotic systems of ordinary differential equations (ODEs). Here, the method is applied to chaotic Lorenz, Chen, Genesio and Rossler systems. The first three chaotic systems are described by three-dimensional systems of ODEs while the last hyperchaotic system is a four-dimensional system of ODEs. It is found that the DQ method is unconditionally stable in solving first-order ODEs. But, care should be taken to choose a time step when applying the DQ method to nonlinear chaotic systems. Similar to all conventional unconditionally stable time integration schemes, the unconditionally stable DQ time integration scheme may also be possible to produce inaccurate results for nonlinear chaotic systems with an inappropriately too large time step sizes. Numerical comparisons are made between the DQ method and the conventional fourth-order Runge-Kutta method (RK4). It is revealed that the DQ method can produce better accuracy than the RK4 using larger time step sizes.

Cites

References

No record.

Cite

APA: Copy

EFTEKHARI, S.A., & JAFARI, A.A.. (2012). NUMERICAL SIMULATION OF CHAOTIC DYNAMICAL SYSTEMS BY THE METHOD OF DIFFERENTIAL QUADRATURE. SCIENTIA IRANICA, 19(5 (TRANSACTIONS B: MECHANICAL ENGINEERING)), 1299-1315. SID. https://sid.ir/paper/290178/en

Vancouver: Copy

EFTEKHARI S.A., JAFARI A.A.. NUMERICAL SIMULATION OF CHAOTIC DYNAMICAL SYSTEMS BY THE METHOD OF DIFFERENTIAL QUADRATURE. SCIENTIA IRANICA[Internet]. 2012;19(5 (TRANSACTIONS B: MECHANICAL ENGINEERING)):1299-1315. Available from: https://sid.ir/paper/290178/en

IEEE: Copy

S.A. EFTEKHARI, and A.A. JAFARI, “NUMERICAL SIMULATION OF CHAOTIC DYNAMICAL SYSTEMS BY THE METHOD OF DIFFERENTIAL QUADRATURE,” SCIENTIA IRANICA, vol. 19, no. 5 (TRANSACTIONS B: MECHANICAL ENGINEERING), pp. 1299–1315, 2012, [Online]. Available: https://sid.ir/paper/290178/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops