Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor
Joint Authors
Braga, Denis de Carvalho
Mello, Luis Fernando
Messias, Marcelo
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-19
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Braga, Denis de Carvalho& Mello, Luis Fernando& Messias, Marcelo. 2009. Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-26.
https://search.emarefa.net/detail/BIM-449713
Modern Language Association (MLA)
Braga, Denis de Carvalho…[et al.]. Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor. Mathematical Problems in Engineering No. 2009 (2009), pp.1-26.
https://search.emarefa.net/detail/BIM-449713
American Medical Association (AMA)
Braga, Denis de Carvalho& Mello, Luis Fernando& Messias, Marcelo. Bifurcation Analysis of a Van der Pol-Duffing Circuit with Parallel Resistor. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-26.
https://search.emarefa.net/detail/BIM-449713
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449713