Paper Info
Title
From Van der Pol to Chua: An introduction to nonlinear dynamics and chaos for second year undergraduates.
Abstract
This work shows how one can obtain Chua's circuit with a cubic nonlinearity from the classic Van der Pol oscillator. The approach helps in progressively advancing from the Hopf bifurcation phenomenon in the Van der Pol oscillator to the period-doubling bifurcations in Chua's circuit. We also place emphasis on mathematical simulation of the dynamic systemand physical circuit realization on a breadboard. This systematic methodology has proved invaluable in explaining the phenomenon of nonlinear dynamics and chaos to the curious undergraduate. The student is assumed to have a background in basic differential equations (equilibrium points, stability, linearization) and DC circuit theory. This paper is written with the student in mind. A student should be able to use this paper as a two week lab manual in an undergraduate course on nonlinear dynamcis and chaos.
Year
DOI
Venue
2012
10.1109/ISCAS.2012.6271932
ISCAS
Keywords
Field
DocType
Chua's circuit,bifurcation,differential equations,electronic engineering education,nonlinear dynamical systems,oscillators,Chua circuit,DC circuit theory,Hopf bifurcation phenomenon,Van der Pol oscillator,chaos,cubic nonlinearity,differential equations,equilibrium points,linearization,nonlinear dynamics,period doubling bifurcation,physical circuit realization
Chua's circuit,Differential equation,Nonlinear system,Computer science,Control theory,Equilibrium point,Van der Pol oscillator,Electronic engineering,Hopf bifurcation,Linearization,Bifurcation
Conference
ISSN
Citations 
PageRank 
0271-4302
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Scott Ambelang100.34
Bharathwaj Muthuswamy21189.22