Fractional damping induces resonant behavior in the Duffing oscillator
Chaotic Dynamics
2024-03-18 v1
Abstract
The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping term. Our findings show that for certain values of the fractional order parameter, the damping parameter, and the forcing amplitude high oscillations amplitude can be induced. This phenomenon is due to the appearance of a resonance in the Duffing oscillator only when the damping term is fractional.
Keywords
Cite
@article{arxiv.2402.02940,
title = {Fractional damping induces resonant behavior in the Duffing oscillator},
author = {Mattia Coccolo and Jesús M. Seoane and Miguel A. F. Sanjuán},
journal= {arXiv preprint arXiv:2402.02940},
year = {2024}
}
Comments
19 pages, 12 figures