Fractional damping effects on the transient dynamics of the Duffing oscillator

DOI10.1016/J.CNSNS.2022.106959OpenAlexW4306957356MaRDI QIDQ2108708

Stefano Lenci, Mattia Coccolo, Jesús M. Seoane, Miguel A. F. Sanjuán

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11023

zbMATH Keywords

chaostransient chaosfractional dampingresonance and nonlinear oscillators

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60) Fractional ordinary differential equations (34A08)

Uses Software

• Fractional Order Chaotic Systems

Cites Work

• Unnamed Item
• Long-term transients and complex dynamics of a stage-structured population with time delay and the Allee effect
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Internal dissipation, relaxation property, and free energy in materials with fading memory
• Chaotic dynamics of the fractionally damped Duffing equation
• FRACTIONAL DUFFING'S EQUATION AND GEOMETRICAL RESONANCE
• Nonlinear damping and quasi-linear modelling
• Chaotic vibrations of the duffing system with fractional damping
• Transient Dynamics of the Lorenz System with a Parameter Drift

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