We consider a general class of nonlinear dynamical systems with memory. We prove under which conditions periodic perturbations allow solutions with the same period. In particular, we consider memory kernels of Γ-type, which give prominence to critical phenomena in the past.
Periodic solutions to perturbed nonlinear oscillators with memory / Paolo Maria Mariano; Marco Spadini. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - 445:(2023), pp. 133635.0-133635.0. [10.1016/j.physd.2022.133635]
Periodic solutions to perturbed nonlinear oscillators with memory
Paolo Maria Mariano
;Marco Spadini
2023
Abstract
We consider a general class of nonlinear dynamical systems with memory. We prove under which conditions periodic perturbations allow solutions with the same period. In particular, we consider memory kernels of Γ-type, which give prominence to critical phenomena in the past.
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