000146915 001__ 146915
000146915 005__ 20241129141114.0
000146915 0247_ $$2doi$$a10.1103/PhysRevE.110.044203
000146915 0248_ $$2sideral$$a140306
000146915 037__ $$aART-2024-140306
000146915 041__ $$aeng
000146915 100__ $$aChacón, Ricardo
000146915 245__ $$aEnergy-based theory of autoresonance in chains of coupled damped-driven generic oscillators
000146915 260__ $$c2024
000146915 5060_ $$aAccess copy available to the general public$$fUnrestricted
000146915 5203_ $$aAn 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.
000146915 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL$$9info:eu-repo/grantAgreement/ES/MICINN/PID2019-108508GB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00
000146915 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000146915 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000146915 700__ $$aPalmero, Faustino
000146915 700__ $$0(orcid)0000-0002-1625-2785$$aMartínez, Pedro J.$$uUniversidad de Zaragoza
000146915 700__ $$aRoy, Somnath
000146915 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada
000146915 773__ $$g110, 4 (2024), 044203 [9 pp.]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045
000146915 8564_ $$s5771388$$uhttps://zaguan.unizar.es/record/146915/files/texto_completo.pdf$$yPostprint
000146915 8564_ $$s2796586$$uhttps://zaguan.unizar.es/record/146915/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000146915 909CO $$ooai:zaguan.unizar.es:146915$$particulos$$pdriver
000146915 951__ $$a2024-11-29-13:24:17
000146915 980__ $$aARTICLE