《Periodicity suppression in continuous-time dynamical systems by external》.pdf

Periodicity suppression in continuous-time dynamical systems by external forcing Amanda C. Mathias and Paulo C. Rech Citation: Chaos 22, 043147 (2012); doi: 10.1063/1.4772968 View online: /10.1063/1.4772968 View Table of Contents: /resource/1/CHAOEH/v22/i4 Published by the American Institute of Physics. Related Articles On asymptotic completeness of scattering in the nonlinear Lamb system, II J. Math. Phys. 54, 012702 (2013) Chaotic dynamics of a frequency-modulated microwave oscillator with time-delayed feedback Chaos 23, 013101 (2013) Nonlinear active micro-rheology in a glass-forming soft-sphere mixture J. Chem. Phys. 138, 12A512 (2013) Scaling investigation for the dynamics of charged particles in an electric field accelerator Chaos 22, 043148 (2012) Improvement and empirical research on chaos control by theory of “chaos+chaos=order” Chaos 22, 043145 (2012) Additional information on Chaos Journal Homepage: / Journal Information: /about/about_the_journal Top downloads: /features/most_downloaded Information for Authors: /authors Downloaded 11 Jan 2013 to 74. Redistribution subject to AIP license or copyright; see /about/rights_and_permissions CHAOS 22, 043147 (2012) Periodicity suppression in continuous-time dynamical systems by external forcing Amanda C. Mathiasa) and Paulo C. Rechb) Departamento de Fısica, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil (Received 4 September 2012; accepted 4 December 2012; published online 28 December 2012) 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