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

Authors

İHSAN PEHLİVAN
YILMAZ UYAROĞLU

DOI

10.3906/elk-0906-67

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.

Keywords

Chaotic systems, chaotic circuits, chaotic attractors, chaotic oscillators.

First Page

171

Last Page

184

Recommended Citation

PEHLİVAN, İHSAN and UYAROĞLU, YILMAZ (2010) "A new chaotic attractor from general Lorenz system family and its electronic experimental implementation," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 18: No. 2, Article 3. https://doi.org/10.3906/elk-0906-67
Available at: https://journals.tubitak.gov.tr/elektrik/vol18/iss2/3