Rajasekar, S.Used, JavierWagemakers, AlexandreSanjuán, Miguel A.F.2024-11-122024-11-122012-08S. Rajasekar, Javier Used, Alexandre Wagemakers, M.A.F. Sanjuan, Vibrational resonance in biological nonlinear maps, Communications in Nonlinear Science and Numerical Simulation, Volume 17, Issue 8, 2012, Pages 3435-3445, ISSN 1007-5704, https://doi.org/10.1016/j.cnsns.2011.12.0141007-5704 (print)1878-7274 (online)https://hdl.handle.net/10115/41465We investigate vibrational resonance in two different nonlinear maps driven by a biharmonic force: the Bellows and the Rulkov map. These two maps possess dynamical features of particular interest for the study of these phenomena. In both maps, the resonance occurs at the low-frequency of the biharmonic signal as the amplitude of the high-frequency signal is varied. We also consider an array of unidirectionally coupled maps with the forcing signal applied to the first unit. In this case, a signal propagation with several interesting features above a critical value of the coupling strength is found, while the response amplitude of the ith unit is greater than the first one. This response evolves in a sigmoidal fashion with the system number i, meaning that at some point the amplitudes saturate. The unidirectional coupling acts as a low-pass filter for distant units. Moreover, the analysis of the mean residence time of the trajectory in a given region of the phase space unveils a multiresonance mechanism in the coupled map system. These results point at the relevance of the discrete-time models for the study of resonance phenomena, since analyses and simulations are much easier than for continuous-time modelsengAttribution-NonCommercial-NoDerivs 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/article10.1016/j.cnsns.2011.12.014info:eu-repo/semantics/embargoedAccess