Exploring phase control with square pulsed perturbations
Year: 2017
Authors: Arecchi F.T., Euzzor S., Gallas M.R., Gallas J.A.C., Meucci R., Pugliese E., Zambrano S.
Autors Affiliation: Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche, Largo E. Fermi 6, Firenze, Italy; Departamento de Fisica, Universidade Federal da Paraiba, Joao Pessoa, 58051-970, Brazil; Instituto de Altos Estudos da Paraiba, Rua Silvino Lopes 419-2502, Joao Pessoa, 58039-190, Brazil; Complexity Sciences Center, 9225 Collins Avenue, Suite 1208, Surfside, FL 33154, United States; Universitą Vita Salute San Raffaele, Via Olgettina 58, Milano, 20132, Italy; Universitą di Firenze, Firenze, Italy
Abstract: We discuss the phase control technique consisting of an applied square pulsed periodic perturbation. We explore the effect of such perturbations to the different terms of the Duffing oscillator. We find that the effect depends sensitively on how the perturbation is applied, indeed, it is specially effective when it modulates the cubic and the linear term and uneffective when applied to the driving term. Our results highlight the highly nontrivial role of the phase when applying a second periodic perturbation to a chaotic system.
Journal/Review: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume: 226 (9) Pages from: 1785 to: 1790
More Information: MRG and JACG were supported by CNPq, Brazil.KeyWords: Chaos theory; Chaotic systems; Unstable periodic; Parametric perturbations; Controlling chaosDOI: 10.1140/epjst/e2017-70022-8Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-27References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here