Automatic synthesis of 2D-n-scrolls chaotic systems by behavioral modeling

This paper introduces the guidelines to synthesize 2D chaotic systems by means of high-level descriptions. The aim of this investigation is to synthesize 2D-n-scrolls chaotic systems based on saturated functions with multisegments. The new methodology of circuit synthesis is performed by three hiera...

Full description

Bibliographic Details
Authors: J. M. Muñoz-Pacheco, E. Tlelo-Cuautle
Format: article
Status:Published version
Publication Date:2009
Country:México
Institution:Instituto Nacional de Astrofísica, Óptica y Electrónica
Repository:Redalyc-INAOE
OAI Identifier:oai:redalyc.org:47413026001
Online Access:https://www.redalyc.org/articulo.oa?id=47413026001
Access Level:Open access
Keyword:Ingeniería
2D
Chaos
opamp
scroll attractors
circuit synthesis
Description
Summary:This paper introduces the guidelines to synthesize 2D chaotic systems by means of high-level descriptions. The aim of this investigation is to synthesize 2D-n-scrolls chaotic systems based on saturated functions with multisegments. The new methodology of circuit synthesis is performed by three hierarchical levels. First, the 2D chaotic oscillator is numerically simulated at the electronic system level by applying state variables and piecewise¿linear approximation. Second, the excursion levels of the chaotic signals are scaled to control the breaking points and slopes of the saturated functions within practical values. Additionally, the frequency scaling of 2D¿n¿scrolls chaotic attractors is performed. Finally, current and voltage saturated functions are synthesized using Verilog¿A models for the operational amplifiers and in this manner a 2D chaotic system is synthesized using operational amplifiers to generate 2D¿n¿scrolls attractors. Numerical results are confirmed by H¿SPICE simulations to show the usefulness of the proposed synthesis approach.