Grid-scroll Chaotic System Based on Colpitts Oscillator Model

Abstract:To obtain grid-scroll chaotic attractor under the frame of the three-order Colpitts oscillator model, based on the formation mechanism of chaotic attractor, an approach for generating a grid scroll chaotic system was presented by introducing two unit sawtooth wave functions to modify the mo...

Full description

Bibliographic Details
Published in:工程科学与技术
Format: Article
Language:English
Published: Editorial Department of Journal of Sichuan University (Engineering Science Edition) 2011-01-01
Subjects:
Online Access:http://jsuese.scu.edu.cn/thesisDetails?columnId=43941345&Fpath=home&index=0
Description
Summary:Abstract:To obtain grid-scroll chaotic attractor under the frame of the three-order Colpitts oscillator model, based on the formation mechanism of chaotic attractor, an approach for generating a grid scroll chaotic system was presented by introducing two unit sawtooth wave functions to modify the model equations from which the index-2 equilibrium points with grid distribution can be formed by the modified three-dimensional system and a (2M+1)×(2N+1)-grid scroll chaotic attractor was evolved. By using conventional dynamical analysis methods, the dynamical behaviors of the proposed system were analyzed. With the help of discretization, digital circuit implementation and corresponding experimental verification were performed based on a microcontroller. The experimental outputs were similar to those of numerical simulations, from which the feasibility and realizability of the generating grid scroll chaotic attractor under the frame of Colpitts oscillator model were illustrated.
ISSN:2096-3246