Conference Paper

Investigation of Lorenz Equation System with Variable Step Size Strategy

Volume: 11 December 30, 2019
EN

Investigation of Lorenz Equation System with Variable Step Size Strategy

Abstract

In this study, variable step size strategy has been considered to analyze the numerical solution of the Lorenz system with chaotic structure. Phase portraits have been obtained for this chaotic system. The effectiveness of the variable step size strategy for the solution of this chaotic system has been discussed.

Keywords

References

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  2. Christodoulou N.S., {\em An algorithm using Runge- Kutta methods of orders 4 and 5 for systems of ODEs}, IJNMA, \textbf{2(1)}(2009), 47--57.
  3. \c{C}elik, K., Kurt, E., A new image encryption algorithm basd on Lorenz system, Electronics, Computers and Artificial Intelligence, International Conference-8th edition, 30 June-02 July, Bucharest, Romania, 2016.
  4. \c{C}elik K{\i}z{\i}lkan, G., Step size strategies on the numerical integration of the systems of differential equations, Ph.D. Thesis, Selcuk University Graduate Natural and Applied Sciences, Konya, 2009 (in Turkish).
  5. \c{C}elik K{\i}z{\i}lkan, G., Ayd{\i}n, K., {\em Step size strategies for the numerical integration of systems differential equations}, J. Comput. Appl. Math., \textbf{236(15)}(2012), 3805--3816.
  6. El- Basha, O., El- Shahat, A. Fayed, H.,{\em Chaos theory and Lorenz attractors}, Sohag Journal of Sciences, \textbf{(1)(1)}(2016), 7--12.
  7. Guellal, S., Grimalt, P., Cherruault, Y., {\em Numerical Study of Lorenz’ s equation by the Adomian method}, Computers Math. Applic., \textbf{(33)(3)}(1997), 25--29.
  8. Guran, A., Ahmadi, G., {\em An Enchanced numerical solution of the Lorenz system by means of the differential Quadrature Method}, AMIM, \textbf{(17)(1)} (2012), 16--30.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Conference Paper

Publication Date

December 30, 2019

Submission Date

September 24, 2019

Acceptance Date

November 25, 2019

Published in Issue

Year 2019 Volume: 11

APA
İnce Polat, S., & Çelik Kızılkan, G. (2019). Investigation of Lorenz Equation System with Variable Step Size Strategy. Turkish Journal of Mathematics and Computer Science, 11, 16-20. https://izlik.org/JA98RF98NL
AMA
1.İnce Polat S, Çelik Kızılkan G. Investigation of Lorenz Equation System with Variable Step Size Strategy. TJMCS. 2019;11:16-20. https://izlik.org/JA98RF98NL
Chicago
İnce Polat, Saniye, and Gülnur Çelik Kızılkan. 2019. “Investigation of Lorenz Equation System With Variable Step Size Strategy”. Turkish Journal of Mathematics and Computer Science 11 (December): 16-20. https://izlik.org/JA98RF98NL.
EndNote
İnce Polat S, Çelik Kızılkan G (December 1, 2019) Investigation of Lorenz Equation System with Variable Step Size Strategy. Turkish Journal of Mathematics and Computer Science 11 16–20.
IEEE
[1]S. İnce Polat and G. Çelik Kızılkan, “Investigation of Lorenz Equation System with Variable Step Size Strategy”, TJMCS, vol. 11, pp. 16–20, Dec. 2019, [Online]. Available: https://izlik.org/JA98RF98NL
ISNAD
İnce Polat, Saniye - Çelik Kızılkan, Gülnur. “Investigation of Lorenz Equation System With Variable Step Size Strategy”. Turkish Journal of Mathematics and Computer Science 11 (December 1, 2019): 16-20. https://izlik.org/JA98RF98NL.
JAMA
1.İnce Polat S, Çelik Kızılkan G. Investigation of Lorenz Equation System with Variable Step Size Strategy. TJMCS. 2019;11:16–20.
MLA
İnce Polat, Saniye, and Gülnur Çelik Kızılkan. “Investigation of Lorenz Equation System With Variable Step Size Strategy”. Turkish Journal of Mathematics and Computer Science, vol. 11, Dec. 2019, pp. 16-20, https://izlik.org/JA98RF98NL.
Vancouver
1.Saniye İnce Polat, Gülnur Çelik Kızılkan. Investigation of Lorenz Equation System with Variable Step Size Strategy. TJMCS [Internet]. 2019 Dec. 1;11:16-20. Available from: https://izlik.org/JA98RF98NL