SavedAdd your journal

Journals / Karaelmas Fen ve Mühendislik Dergisi / 2019 / Cilt: 9 - Sayı: 2

Numerical Computation of Linearized Lorenz System with Variable Step

Lineer Lorenz Sisteminin Değişken Adım Genişliği ile Nümerik Hesaplanması

GÜLNUR ÇELİK KIZILKAN
KEMAL AYDIN
Pages
227–231
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Phase portraits are obtained for these strange attractors.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Numerical solutions of linearized Lorenz system and diffusionless Lorenz system are aimed using variable step size strategy which consider the error analysis.
📊
Key Findings & Data:Numerical solutions of linearized Lorenz system and diffusionless Lorenz system are aimed using variable step size strategy which consider the error analysis.
💡
Conclusion & Impact:Phase portraits are obtained for these strange attractors.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Difüzyonsuz Lorenz sistemi · Lorenz sistemi · Nümerik çözüm

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.

Özet

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

🔖

Cite This Article

KIZILKAN, G. Ç., AYDIN, K. (2019). Numerical Computation of Linearized Lorenz System with Variable Step. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 9 - Sayı: 2, 227–231. https://ajindex.com/articles/180593

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (6)

  1. 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.
  2. 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.
  3. Universite of Rochester, Department of Mechanical Engineering, http://www2.me.rochester.edu/ courses/ME406/webexamp6/loreq.pdf (Access date: 13.04.2018)
  4. 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.
  5. 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.
  6. 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=.