title: Some two-dimensional parameter spaces of a Chua system with cubic nonlinearity.
abstract: In this paper we investigate three two-dimensional parameter spaces of a three-parameter set of autonomous differential equations used to model the Chua oscillator, where the piecewise-linear function usually taken to describe the nonlinearity of the Chua diode has been replaced by a cubic polynomial. It is made by using three independent two-dimensional cross sections of the three-dimensional parameter space generated by the model, which contains three parameters. We show that, independent of the parameter set considered in plots, all the diagrams present periodic structures embedded in a large chaotic region, and we also show that these structures organize themselves in period-adding cascades. We argue that these selected two-dimensional cross sections can be representative of the three-dimensional parameter space as a whole, in the range of parameters here investigated.
authors.affiliation: Departamento de Fisica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil. cristianestegemann@yahoo.com.br
authors.forename: Cristiane
authors.initials: C
authors.lastname: Stegemann
authors.forename: Holokx A
authors.initials: HA
authors.lastname: Albuquerque
authors.forename: Paulo C
authors.initials: PC
authors.lastname: Rech