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An analog circuit design and FPGA based implementation of the Burke Shaw chaotic system

ISMAIL KOYUNCU1,* , AHMET TURAN OZCERIT2, IHSAN PEHLIVAN3

Affiliation

  1. Control and Automation Technology, Duzce University, 81010, Uzunmustafa, Duzce, Turkey
  2. Faculty of Technology, Computer Engineering Department, 54187, Serdivan, Sakarya, Turkey
  3. Faculty of Technology, Electrical and Electronics Engineering Department, 54187, Serdivan, Sakarya, Turkey

Abstract

In this study, the Burke-Shaw chaotic system has been modeled in three different platforms. In the first stage, the chaotic system has been modeled numerically with the RK5-Butcher algorithm, and the obtained time series and phase portraits are presented. In the second stage, the chaotic system has been modeled with analog circuit components. The results obtained from the numerical modeling confirm the validity of the modeling with analog components. In the final stage, in order to study the RK5-Butcher algorithm, the Burke-Shaw chaotic system has been modeled in VHDL, a hardware description language. The results of the FPGA-based and the numerical modeling results have been compared each other and a sufficient validation score achieved. According to the test results, the operation frequency of the FPGA-based chaotic oscillator is 373.094MHz and it can generate a million-data set in 0.796 seconds..

Keywords

Chaos, Chaotic system, FPGA, VHDL, Chaotic generator.

Citation

ISMAIL KOYUNCU, AHMET TURAN OZCERIT, IHSAN PEHLIVAN, An analog circuit design and FPGA based implementation of the Burke Shaw chaotic system, Optoelectronics and Advanced Materials - Rapid Communications, 7, 9-10, September-October 2013, pp.635-638 (2013).

Submitted at: May 30, 2013

Accepted at: Sept. 18, 2013