46965 20210121114528.0 doi 10.1103/PhysRevE.92.062921 sideral 93362 ART-2015-93362 eng Chacón, R Dissipative dynamics of a particle in a vibrating periodic potential: Chaos and control 2015 Access copy available to the general public Unrestricted The dissipative chaotic dynamics of a particle subjected to a horizontally vibrating periodic potential is characterized theoretically and confirmed numerically in the case of an external chaos-controlling periodic excitation also acting on the particle. Theoretical predictions concerning the chaotic threshold in parameter space are deduced from the application of Melnikov's method that fully determine the chaos-control scenario. Also, the structure of diverse regularization regions in parameter space is explained theoretically with the aid of an energy analysis. It was found that the phase difference between the two periodic excitations involved plays a crucial role in the chaos-control scenario, with the particular feature that its optimal value depends upon the ratio between the damping coefficient and the excitation frequency. This constitutes a genuine feature of the chaos-control scenario associated with nonsteady potentials which is in contrast to the case of steady potentials. Additionally, we demonstrate the robustness of the chaos-control scenario against the presence of low-intensity Gaussian noise and reshaping of chaos-suppressing excitations. info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167 info:eu-repo/grantAgreement/ES/MINECO/FIS2012-34902 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.252 2015 PHYSICS, MATHEMATICAL 6 / 53 = 0.113 2015 Q1 T1 PHYSICS, FLUIDS & PLASMAS 10 / 30 = 0.333 2015 Q2 T2 1.183 2015 Condensed Matter Physics 2015 Q1 Statistical and Nonlinear Physics 2015 Q1 Statistics and Probability 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0002-1625-2785 Martínez, P.J. Universidad de Zaragoza Martínez, J.A. 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 92, 6 (2015), 062921 [9 pp] Phys. rev., E Physical Review E 2470-0045 2822841 http://zaguan.unizar.es/record/46965/files/texto_completo.pdf Versión publicada 128719 http://zaguan.unizar.es/record/46965/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:46965 articulos driver 2021-01-21-11:08:08 ARTICLE