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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2026 / Sayı: 24 Özel Sayı

The Circuit Synthesis of the Fractional-Order Chaotic Lorenz System

Fraksiyonel Dereceli Kaotik Lorenz Sistemi’nin Devre Sentezi

İbrahim Ethem Saçu(ERCİYES ÜNİVERSİTESİ)0000-0002-8627-8278
Nimet Korkmaz(ERCİYES ÜNİVERSİTESİ)0000-0002-7419-1538
Pages
42–46
Publication Date
2021-04-15
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AI Summary & Key Takeaways

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

The verification of the system, which is designed for the circuit solution of the fractional-order Lorenz System, has been made by SPICE circuit simulation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the R-C emulator circuits have been used instead of using standard capacitors in the circuit synthesis of the fractional-order Lorenz System and the design stages of these circuits have been emphasized.
📊
Key Findings & Data:A third order transfer function has been obtained by Matsuda approximation method in order to get design of the fractional-order system with R-C emulator circuits.
💡
Conclusion & Impact:The verification of the system, which is designed for the circuit solution of the fractional-order Lorenz System, has been made by SPICE circuit simulation.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Kaotik Lorenz Sistemi · Fraksiyonel Kapasitör · Devre Sentezi

Abstract

In this study, the R-C emulator circuits have been used instead of using standard capacitors in the circuit synthesis of the fractional-order Lorenz System and the design stages of these circuits have been emphasized. A third order transfer function has been obtained by Matsuda approximation method in order to get design of the fractional-order system with R-C emulator circuits. This obtained function has been transformed into FOSTER-I R-C network and this network structure has been used in the circuit solution of the chaotic Lorenz System. The verification of the system, which is designed for the circuit solution of the fractional-order Lorenz System, has been made by SPICE circuit simulation.

Özet

Bu çalışmada fraksiyonel dereceli Lorenz Sistemi’nin devre sentezinde; fraksiyonel dereceli diferansiyel denklemlerin integrasyon işlemini gerçeklemek için standart kapasitörler kullanmak yerine R-C taklit devrelerinin kullanılmış ve bu devrelerin tasarım aşamaları üzerinde durulmuştur. Fraksiyonel dereceli sistemin R-C taklit devreleri ile tasarımı için, Matsuda yaklaşıklık metodu ile üçüncü dereceden transfer fonksiyonu elde edilmiştir. Elde edilen bu fonksiyon FOSTER-I R-C ağına dönüştürülerek, kaotik Lorenz Sistemi’nin devre çözümünde kullanılmıştır. Fraksiyonel dereceli Lorenz Sistemi’nin devre çözümü için tasarlanan sistemin doğrulaması SPICE devre simülasyonu ile yapılmıştır.

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Cite This Article

Saçu, İ. E., Korkmaz, N. (2021). The Circuit Synthesis of the Fractional-Order Chaotic Lorenz System. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 24 Özel Sayı, 42–46. https://doi.org/10.31590/ejosat.901025

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