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

İhsan PEHLİVAN; Yılmaz UYAROĞLU

Article Details

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

Authors:

İhsan PEHLİVAN | Yılmaz UYAROĞLU

Publisher:

TUBITAK

Journal:

Turkish Journal of Electrical Engineering and Computer Science 2010 Vol.18 Issue 2, pp.171-184

Document Type:

Article

Publication Date:

1/2010

Document Language:

Turkish

Document ID (Org No.):

2000743945

Frequency:

Bimonthly

eISSN:

1303-6203

pISSN:

1300-0632

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.

 

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.

Article Details

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

Authors: İhsan PEHLİVAN | Yılmaz UYAROĞLU

Publisher: TUBITAK

Journal: Turkish Journal of Electrical Engineering and Computer Science 2010 Vol.18 Issue 2, pp.171-184

Document Type: Article

Publication Date: 1/2010

Document Language: Turkish

Document ID (Org No.): 2000743945

Frequency: Bimonthly

eISSN: 1303-6203

pISSN: 1300-0632

Issues

Authors:

İhsan PEHLİVAN | Yılmaz UYAROĞLU

Publisher:

TUBITAK

Journal:

Turkish Journal of Electrical Engineering and Computer Science 2010 Vol.18 Issue 2, pp.171-184

Document Type:

Article

Publication Date:

1/2010

Document Language:

Turkish

Document ID (Org No.):

2000743945

Frequency:

Bimonthly

eISSN:

1303-6203

pISSN:

1300-0632