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; Università Vita Salute San Raffaele, Via Olgettina 58, Milano, 20132, Italy; Università 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.


Volume: 226 (9)      Pages from: 1785  to: 1790

KeyWords: Chaos theory; Chaotic systems; Unstable periodic; Parametric perturbations; Controlling chaos
DOI: 10.1140/epjst/e2017-70022-8

Citations: 2
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