146915 20260217205531.0 doi 10.1103/PhysRevE.110.044203 sideral 140306 ART-2024-140306 eng Chacón, Ricardo Energy-based theory of autoresonance in chains of coupled damped-driven generic oscillators 2024 Access copy available to the general public Unrestricted An energy-based theory of autoresonance in driven dissipative chains of coupled generic oscillators is discussed on the basis of a variational principle concerning the energy functional. The theory is applied to chains of delayed Duffing-Ueda oscillators and the equations that together govern the autoresonance forces and solutions are derived and solved analytically for generic values of parameters and initial conditions, including the case of quenched time-delay disorder. Remarkably, the presence of retarded potentials with time-delayed feedback drastically modify the autoresonance scenario preventing the growth of the energy oscillation over specific regions of the parameter space. Additionally, effective harmonic forces with a slowly varying frequency are derived from the exact autoresonant excitations and the effectiveness of the theory is demonstrated at suppressing the chaos induced by homogeneous periodic excitations in such oscillator chains. Numerical experiments confirmed all the theoretical predictions. info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL info:eu-repo/grantAgreement/ES/MICINN/PID2019-108508GB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 2.4 2024 PHYSICS, MATHEMATICAL 13 / 61 = 0.213 2024 Q1 T1 PHYSICS, FLUIDS & PLASMAS 17 / 41 = 0.415 2024 Q2 T2 0.705 2024 Condensed Matter Physics 2024 Q2 Statistics and Probability 2024 Q2 Statistical and Nonlinear Physics 2024 Q2 4.2 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Palmero, Faustino Martínez, Pedro J. Universidad de Zaragoza (orcid)0000-0002-1625-2785 Roy, Somnath 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 110, 4 (2024), 044203 [9 pp.] Phys. rev., E Physical Review E 2470-0045 5771388 http://zaguan.unizar.es/record/146915/files/texto_completo.pdf Postprint 2796586 http://zaguan.unizar.es/record/146915/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:146915 articulos driver 2026-02-17-20:32:43 ARTICLE