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Journals / Turkish Journal of Electrical Engineering and Computer Science / 2010 / Cilt: 18 - Sayı: 2

A new chaotic attractor from general Lorenz system family and its electronic experimental implementation

İhsan PEHLİVAN
Yılmaz UYAROĞLU
Pages
171–184
Publication Date
2010-02-01
DOI
—
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AI Summary & Key Takeaways

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

The behaviour of the realized system is evaluated with computer simulations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article introduces a novel three-dimensional continuous autonomous chaotic system with six terms and two quadratic nonlinearities.
📊
Key Findings & Data:The new system contains two variational parameters and exhibits Lorenz-like attractors in numerical simulations and experimental measurements.
💡
Conclusion & Impact:The behaviour of the realized system is evaluated with computer simulations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Chaotic systems · chaotic circuits · chaotic attractors

Abstract

This article introduces a novel three-dimensional continuous autonomous chaotic system with six terms and two quadratic nonlinearities. The new system contains two variational parameters and exhibits Lorenz-like attractors in numerical simulations and experimental measurements. The basic dynamical properties of the new system are analyzed by means of equilibrium points, eigenvalue structures, and Lyapunov exponents. The new system examined in Matlab-Simulink\textregistered and Orcad-PSpice\textregistered. An electronic circuit realization of the proposed system is presented using analog electronic elements such as capacitors, resistors, operational amplifiers and multipliers. The behaviour of the realized system is evaluated with computer simulations.

Özet

This article introduces a novel three-dimensional continuous autonomous chaotic system with six terms and two quadratic nonlinearities. The new system contains two variational parameters and exhibits Lorenz-like attractors in numerical simulations and experimental measurements. The basic dynamical properties of the new system are analyzed by means of equilibrium points, eigenvalue structures, and Lyapunov exponents. The new system examined in Matlab-Simulink\textregistered and Orcad-PSpice\textregistered. An electronic circuit realization of the proposed system is presented using analog electronic elements such as capacitors, resistors, operational amplifiers and multipliers. The behaviour of the realized system is evaluated with computer simulations.

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Cite This Article

PEHLİVAN, İ., UYAROĞLU, Y. (2010). A new chaotic attractor from general Lorenz system family and its electronic experimental implementation. Turkish Journal of Electrical Engineering and Computer Science, Cilt: 18 - Sayı: 2, 171–184. https://ajindex.com/articles/189178

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