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A MODIFIED CHUA'S CIRCUIT WITH AN ATTRACTION-REPULSION FUNCTION

State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, P. R. China

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ZHISHENG DUAN

State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, P. R. China

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BO WANG

State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, P. R. China

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, and

GUANRONG CHEN

Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China

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https://doi.org/10.1142/S0218127408021427Cited by:6 (Source: Crossref)

Abstract

In this paper, the original Chua's circuit is modified by substituting its piecewise-linear function with an attraction-repulsion function. Some new complex dynamical behaviors such as chaos are observed through computer simulations. Basic properties of the new circuit are analyzed by means of bifurcation diagrams. Lagrange stability conditions of the circuit are derived. A comparison between this modified Chua's circuit with an attraction-repulsion function and the modified Chua's circuit with a cubic nonlinear function is presented. Moreover, a generalization of the new circuit that can generate multiple scrolls is designed and simulated. Finally, a physical circuit is built to visualize the new system, with some experimental observations reported.

This work is supported by the City University of Hong Kong under the Research Enhancement Scheme and SRG grant 7002134 and the National Science Foundation of China under grants 60674093, 60334030.

Keywords:

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