Synthesis of n-Scroll attractors using saturated functions from High-Level simulation

Modeling and simulation of a chaotic oscillator based on saturated nonlinear functions (SNLFs) are presented for the synthesis of n-scrolls attractors. First, the oscillator is simulated at the electronic system level by applying state variables and piecewise-linear approximation. Second, the dynami...

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Bibliographic Details
Authors: JESUS MANUEL MUÑOZ PACHECO; ESTEBAN TLELO CUAUTLE
Format: Article
Status:Accepted version
Publication date:2008
Country:México
Institution:INAOE
Repository:Repositorio Institucional del INAOE
Language:English
OAI Identifier:oai:inaoe.repositorioinstitucional.mx:1009/1105
Online Access:http://inaoe.repositorioinstitucional.mx/jspui/handle/1009/1105
Access Level:Open access
Keyword:info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/22
info:eu-repo/classification/cti/2203
Description
Summary:Modeling and simulation of a chaotic oscillator based on saturated nonlinear functions (SNLFs) are presented for the synthesis of n-scrolls attractors. First, the oscillator is simulated at the electronic system level by applying state variables and piecewise-linear approximation. Second, the dynamic ranges are scaled to control the breaking points and slopes within practical values. Additionally, the frequency scaling of n-scrolls attractors is performed. Finally, the SNLF is synthesized using operational amplifiers to generate 2, 3, 4, 5 and 6- scrolls attractors. Theoretical results are confirmed by SPICE simulations to show the usefulness of the proposed synthesis approach.