Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations
From MaRDI portal
Publication:1661505
DOI10.1515/ijnsns-2015-0012zbMath1401.70032OpenAlexW2331973717MaRDI QIDQ1661505
Publication date: 16 August 2018
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2015-0012
Periodic solutions to ordinary differential equations (34C25) Nonlinear resonances for nonlinear problems in mechanics (70K30)
Related Items
Stable quasi-periodic orbits of a class of quintic Duffing systems ⋮ Design of evolutionary optimized finite difference based numerical computing for dust density model of nonlinear Van-der Pol Mathieu's oscillatory systems ⋮ Chaotic phenomena and nonlinear responses in a vibroacoustic system
Cites Work
- Unnamed Item
- Periodic and quasiperiodic galloping of a wind-excited tower under external excitation
- Periodic solutions of a generalized Van der Pol-Mathieu differential equation
- Roll dynamics of a ship sailing in large amplitude head waves
- Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays
- Suppression of hysteresis in a forced Van der Pol-Duffing oscillator
- Viscous oscillations in a circular cylinder with an elastic cover on the free surface
- Frequency locking in a forced Mathieu--Van der Pol--Duffing system
- \(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator
- \(2:1\) Resonance in the delayed nonlinear Mathieu equation
- An open-plus-closed-loop control for chaotic Mathieu-Duffing oscillator
- Hysteresis suppression for primary and subharmonic 3:1 resonances using fast excitation
- Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
- Self-excited oscillations and fuel control of a combustion process in a Rijke tube
- Lag synchronization in coupled multistable van der Pol-Duffing oscillators
- Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay
- On the multi-parameter characteristic perturbation method; application to nonlinear supersonic nonequilibrium flow over a wedge
- Nonlinear forced vibration of orthotropic rectangular plates using the method of multiple scales
- Chaotic Motions of a Duffing Oscillator Subjected to Combined Parametric and Quasiperiodic Excitation
- A Van der Pol–Mathieu equation for the dynamics of dust grain charge in dusty plasmas
This page was built for publication: Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations