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Journals / Bilgisayar Bilimleri / 2021 / Cilt: IDAP-2021 : 5th International Artificial Intelligence and Data Processing symposium Sayı: Special Özel Sayı

Randomness Analysis With Runge Kutta Methods

Runge Kutta Yöntemleriyle Rasgelelik Analizi

Cemile İnce(İNÖNÜ ÜNİVERSİTESİ)0000-0002-4638-8501
Kenan İnce(İNÖNÜ ÜNİVERSİTESİ)0000-0003-4709-9557
Davut Hanbay(İNÖNÜ ÜNİVERSİTESİ)0000-0003-2271-7865
Pages
53–60
Publication Date
2021-10-20
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AI Summary & Key Takeaways

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

These methods are; Houses, Heun, 4th and 5th degree Runge Kutta methods are the most common differential solution methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Chaotic systems are widely used in encryption because of their sensitivity to initial conditions and parameters, high ergodicity, mixing properties, and highly complex structures.
📊
Key Findings & Data:Various analyzes are available to understand whether a system is chaotic.
💡
Conclusion & Impact:These methods are; Houses, Heun, 4th and 5th degree Runge Kutta methods are the most common differential solution methods.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Rasgele Sayı Üreteçleri · Runge Kutta · Kaotik Haritalar

Abstract

Chaotic systems are widely used in encryption because of their sensitivity to initial conditions and parameters, high ergodicity, mixing properties, and highly complex structures. Various analyzes are available to understand whether a system is chaotic. The most used analyzes are time series analysis, phase portraits, Lyapunov exponents, and bifurcation diagrams. Modeling of chaotic systems is also possible with numerical analysis methods. These methods are; Houses, Heun, 4th and 5th degree Runge Kutta methods are the most common differential solution methods.

Özet

Kaotik sistemler, başlangıç koşullarına ve parametrelere olan duyarlılıkları, yüksek ergodikliği, karıştırma özellikleri ve oldukça karmaşık yapıları nedeniyle şifrelemede yaygın olarak kullanılmaktadır. Bir sistemin kaotik olup olmadığını anlamak için çeşitli analizler mevcuttur. En çok kullanılan analizler zaman serisi analizi, faz portreleri, Lyapunov üsleri ve çatallanma diyagramlarıdır. Kaotik sistemlerin modellenmesi sayısal analiz yöntemleri ile de mümkündür. Bu yöntemler; Houses, Heun, 4. ve 5. derece Runge Kutta yöntemleri en yaygın diferansiyel çözüm yöntemleridir.

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Cite This Article

İnce, C., İnce, K., Hanbay, D. (2021). Randomness Analysis With Runge Kutta Methods. Bilgisayar Bilimleri, Cilt: IDAP-2021 : 5th International Artificial Intelligence and Data Processing symposium Sayı: Special Özel Sayı, 53–60. https://doi.org/10.53070/bbd.990990

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