title: On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry.
abstract: In this paper a partial unfolding for an analog to the fold-Hopf bifurcation in three-dimensional symmetric piecewise linear differential systems is obtained. A particular biparametric family of such systems is studied starting from a very degenerate configuration of nonhyperbolic periodic orbits and looking for the possible bifurcation of limit cycles. It is proved that four limit cycles can coexist after perturbation of the original configuration, and other two limit cycles are conjectured. It is shown that the described bifurcation scenario appears for appropriate values of parameters in the celebrated Chua's oscillator.
authors.affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Barcelona, Spain. jllibre@mat.uab.cat
authors.forename: Jaume
authors.initials: J
authors.lastname: Llibre
authors.forename: Enrique
authors.initials: E
authors.lastname: Ponce
authors.forename: Javier
authors.initials: J
authors.lastname: Ros
authors.forename: Francisco
authors.initials: F
authors.lastname: Torres