Fractional damping induces resonant behavior in the Duffing oscillator

被引：9

作者：

Coccolo, Mattia ^{[1
]}

Seoane, Jesus M. ^{[1
]}

Sanjuan, Miguel A. F. ^{[1
]}

机构：

[1] Univ Rey Juan Carlos, Dept Fis, Nonlinear Dynam Chaos & Complex Syst Grp, Tulipan S-N, Mostoles 28933, Madrid, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 133卷

关键词：

Resonance; Fractional derivatives; Nonlinear oscillations; Chaos; VIBRATION; SYSTEMS;

D O I：

10.1016/j.cnsns.2024.107965

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

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页数：10

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