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Lineer Lorenz Sisteminin Değişken Adım Genişliği ile Nümerik Hesaplanması

Year 2019, Volume: 9 Issue: 2, 227 - 231, 01.06.2019
https://doi.org/10.7212/zkufbd.v9i2.1335

Abstract

Hata analizini dikkate alan değişken adım genişliği kullanarak lineer Lorenz Sistemi ve difüzyonsuz Lorenz sistemlerinin nümerik çözümleri amaçlanmıştır. Bu tuhaf çekicilerin faz portreleri elde edilmiştir

References

  • Boyce, WE., DiPrima, RC. 2012., Elementary Differential
  • Equations and Boundary Value Problems. 10th Edition, John Wiley & Sons Inc, United States of America. Çelik Kızılkan, G., Aydın, K. 2011. Gülnur Çelik Kızılkan
  • Kemal Aydın, Step Size Strategies Based On Error Analysis For The Linear Systems. SDU J. Sci., 6(2): 149-159. Dynamical Systems, 2011. Universite of Rochester, Department of Mechanical Engineering, http://www2.me.rochester.edu/ courses/ME406/webexamp6/loreq.pdf (Access date: 13.04.2018)
  • El-Zahar, ER. 2012. An adaptative Step-Size Taylor Series Based
  • Method and Application to Nonlinear Biochemical Reaction Model. Trends Appl. Sci. Res., 7(11): 901-912. Guran, A., Ahmadi, G., 2012. An Enhanced Numerical Solution of the Lorenz System By Means of the Differential Quadrature Method. AMIM, 17(1): 16-30.
  • Li, C., Sprott, JC., Thio, W. 2015. Linearization of the Lorenz system. Phys. Lett. A, 379: 888-893. Figure 6. Phase portrait of system (8) for b = 1 initial value ^0 1 0TTh on error level d= (A) from [Li et all, L= , (B) obtained with variable step size d= L= .

Numerical Computation of Linearized Lorenz System with Variable Step

Year 2019, Volume: 9 Issue: 2, 227 - 231, 01.06.2019
https://doi.org/10.7212/zkufbd.v9i2.1335

Abstract

Numerical solutions of linearized Lorenz system and diffusionless Lorenz system are aimed using variable step size strategy which consider the error analysis. Phase portraits are obtained for these strange attractors.

References

  • Boyce, WE., DiPrima, RC. 2012., Elementary Differential
  • Equations and Boundary Value Problems. 10th Edition, John Wiley & Sons Inc, United States of America. Çelik Kızılkan, G., Aydın, K. 2011. Gülnur Çelik Kızılkan
  • Kemal Aydın, Step Size Strategies Based On Error Analysis For The Linear Systems. SDU J. Sci., 6(2): 149-159. Dynamical Systems, 2011. Universite of Rochester, Department of Mechanical Engineering, http://www2.me.rochester.edu/ courses/ME406/webexamp6/loreq.pdf (Access date: 13.04.2018)
  • El-Zahar, ER. 2012. An adaptative Step-Size Taylor Series Based
  • Method and Application to Nonlinear Biochemical Reaction Model. Trends Appl. Sci. Res., 7(11): 901-912. Guran, A., Ahmadi, G., 2012. An Enhanced Numerical Solution of the Lorenz System By Means of the Differential Quadrature Method. AMIM, 17(1): 16-30.
  • Li, C., Sprott, JC., Thio, W. 2015. Linearization of the Lorenz system. Phys. Lett. A, 379: 888-893. Figure 6. Phase portrait of system (8) for b = 1 initial value ^0 1 0TTh on error level d= (A) from [Li et all, L= , (B) obtained with variable step size d= L= .
There are 6 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Gülnur Çelik Kızılkan This is me

Publication Date June 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 2

Cite

APA Kızılkan, G. Ç. (2019). Numerical Computation of Linearized Lorenz System with Variable Step. Karaelmas Fen Ve Mühendislik Dergisi, 9(2), 227-231. https://doi.org/10.7212/zkufbd.v9i2.1335
AMA Kızılkan GÇ. Numerical Computation of Linearized Lorenz System with Variable Step. Karaelmas Fen ve Mühendislik Dergisi. June 2019;9(2):227-231. doi:10.7212/zkufbd.v9i2.1335
Chicago Kızılkan, Gülnur Çelik. “Numerical Computation of Linearized Lorenz System With Variable Step”. Karaelmas Fen Ve Mühendislik Dergisi 9, no. 2 (June 2019): 227-31. https://doi.org/10.7212/zkufbd.v9i2.1335.
EndNote Kızılkan GÇ (June 1, 2019) Numerical Computation of Linearized Lorenz System with Variable Step. Karaelmas Fen ve Mühendislik Dergisi 9 2 227–231.
IEEE G. Ç. Kızılkan, “Numerical Computation of Linearized Lorenz System with Variable Step”, Karaelmas Fen ve Mühendislik Dergisi, vol. 9, no. 2, pp. 227–231, 2019, doi: 10.7212/zkufbd.v9i2.1335.
ISNAD Kızılkan, Gülnur Çelik. “Numerical Computation of Linearized Lorenz System With Variable Step”. Karaelmas Fen ve Mühendislik Dergisi 9/2 (June 2019), 227-231. https://doi.org/10.7212/zkufbd.v9i2.1335.
JAMA Kızılkan GÇ. Numerical Computation of Linearized Lorenz System with Variable Step. Karaelmas Fen ve Mühendislik Dergisi. 2019;9:227–231.
MLA Kızılkan, Gülnur Çelik. “Numerical Computation of Linearized Lorenz System With Variable Step”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 9, no. 2, 2019, pp. 227-31, doi:10.7212/zkufbd.v9i2.1335.
Vancouver Kızılkan GÇ. Numerical Computation of Linearized Lorenz System with Variable Step. Karaelmas Fen ve Mühendislik Dergisi. 2019;9(2):227-31.