title: Periodicity suppression in continuous-time dynamical systems by external forcing.
abstract: We investigate periodicity suppression by an external periodic forcing in different flows, each modeled by a set of three autonomous nonlinear first-order ordinary differential equations. By varying the amplitude of a sinusoidal forcing with a fixed angular frequency, we show through numerical simulations, including parameter planes plots, phase-space portraits, and the largest Lyapunov exponent, that windows of periodicity embedded in chaotic regions may be totally suppressed.
authors.affiliation: Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil. amaandafisica@gmail.com
authors.forename: Amanda C
authors.initials: AC
authors.lastname: Mathias
authors.forename: Paulo C
authors.initials: PC
authors.lastname: Rech