Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor
Loading...
External sources
External sources
Date
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Wiley
Wiley
Type
Article
Access right
Acesso aberto
External sources
External sources
Abstract
We study the local codimension one, two, and three bifurcations which occur in a recently proposed Van der Pol-Duffing circuit (ADVP) with parallel resistor, which is an extension of the classical Chua's circuit with cubic nonlinearity. The ADVP system presents a very rich dynamical behavior, ranging from stable equilibrium points to periodic and even chaotic oscillations. Aiming to contribute to the understand of the complex dynamics of this new system we present an analytical study of its local bifurcations and give the corresponding bifurcation diagrams. A complete description of the regions in the parameter space for which multiple small periodic solutions arise through the Hopf bifurcations at the equilibria is given. Then, by studying the continuation of such periodic orbits, we numerically find a sequence of period doubling and symmetric homoclinic bifurcations which leads to the creation of strange attractors, for a given set of the parameter values. Copyright (C) 2009 Denis de Carvalho Braga et al.
Description
Keywords
Language
English
Citation
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 26, 2009.
