IJPAM: Volume 57, No. 2 (2009)

DEGENERATE GLOBAL BIFURCATIONS IN
A SIMPLE CIRCUIT

A. Algaba$^1$, M. Merino$^2$, C. García$^3$, M. Reyes$^4$
$^{1,2,3,4}$Department of Mathematics
Faculty of Experimental Sciences
University of Huelva
Avda. Tres de Marzo s/n, Huelva, 21071, SPAIN
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]
$^3$e-mail: [email protected]
$^4$e-mail: [email protected]


Abstract.This paper presents a bifurcation analysis of a simple electronic device, with only one nonlinearity, exhibiting complex dynamics. We focus on the study of three points of codimension three, namely triple-zero, degenerate Takens-Bogdanov and Hopf-zero bifurcations. In this way, we detect several types of periodic and homoclinic dynamical behaviors, which analyze by continuation methods.

Received: October 20, 2009

AMS Subject Classification: 37G05, 37G15, 37G25

Key Words and Phrases: complex dynamic, degenerate global bifurcations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 2