International Journal of Science and Technology

International Journal of Science and Technology>> Volume 7, Number 6, June 2017

International Journal of Science and Technology


Bifurcation Diagrams of Nonlinear RLC Electrical Circuits

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Author AJIDE, O.O, T.A.O. SALAU
On Pages 136-139
Volume No. 1
Issue No. 3
Issue Date September 01, 2011
Publishing Date September 01, 2011
Keywords Bifurcation, RLC electrical circuits, Chaotic systems, Feigenbaum constant


Abstract

This work investigates the application of bifurcation diagrams in the chaotic study of nonlinear RLC electrical circuits. The relevant second order differential equations were solved for ranges of appropriate parameters using Runge-Kutta approach. The solutions obtained were employed to produce bifurcation diagrams using Microsoft excel 2007. The mean estimate of =4.669 obtained from the bifurcation diagrams is an approximate value of the Feigenbaum constant and thus conforms to the expected results. The results show that bifurcation diagram is a useful tool for exploring dynamics of nonlinear resonant circuit over a range of control parameters.

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