Complex resonance behaviors of weak nonlinear Duffing-van der Pol systems under multi-frequency excitation
From MaRDI portal
Publication:6537089
DOI10.1007/s00009-024-02592-6zbMath1536.34039MaRDI QIDQ6537089
Publication date: 14 May 2024
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Multiple scale methods for ordinary differential equations (34E13)
Cites Work
- Unnamed Item
- Unnamed Item
- Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
- Stability and dynamics of a controlled van der Pol-Duffing oscillator
- Approximate solution of a class of nonlinear oscillators in resonance with a periodic excitation
- Combination resonances in the response of the Duffing oscillator to a three-frequency excitation
- Analytic approximate solutions of the cubic-quintic Duffing-van der Pol equation with two-external periodic forcing terms: stability analysis
- Renormalization group method for singular perturbation initial value problems with delays
- Introduction to Perturbation Methods
- Complex bursting dynamics in the cubic-quintic Duffing-van der Pol system with two external periodic excitations
This page was built for publication: Complex resonance behaviors of weak nonlinear Duffing-van der Pol systems under multi-frequency excitation
