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A simple chaotic circuit with a light-emitting diode

VIET-THANH PHAM1,2,* , CHRISTOS VOLOS3, SAJAD JAFARI4, XIONG WANG5, TOMASZ KAPITANIAK2

Affiliation

  1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
  2. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
  3. Physics Department, Aristotle University of Thessaloniki, GR-54124, Greece
  4. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
  5. Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, P.R. China

Abstract

A novel simple autonomous optoelectronic chaotic circuit is presented in this work. Interestingly, the circuit is based on a single optoelectronic element, a light-emitting diode. The mathematical model of the circuit is described by three first-order ordinary differential equations which contain six terms with two parameters and an exponential nonlinearity. The proposed circuit is easy to be implemented by using common cheap components. The circuit can exhibit complex dynamical behavior like chaos despite of its simplicity. Therefore, it is a potential candidate for chaos-based engineering applications or is intended for educational purposes..

Keywords

Chaos, Light-emitting diode, Autonomous system, Bifurcation, Lyapunov exponent, Nonlinear circuit.

Citation

VIET-THANH PHAM, CHRISTOS VOLOS, SAJAD JAFARI, XIONG WANG, TOMASZ KAPITANIAK, A simple chaotic circuit with a light-emitting diode, Optoelectronics and Advanced Materials - Rapid Communications, 10, 9-10, September-October 2016, pp.640-646 (2016).

Submitted at: June 22, 2016

Accepted at: Sept. 29, 2016