\(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator
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Publication:841746
DOI10.1007/s11071-007-9302-6zbMath1170.70344OpenAlexW2017990693MaRDI QIDQ841746
Abdelhak Fahsi, Mohamed Belhaq
Publication date: 18 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9302-6
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Nonlinear resonances for nonlinear problems in mechanics (70K30) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Related Items (12)
Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation ⋮ Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations ⋮ Hysteresis suppression and synchronization near 3:1 subharmonic resonance ⋮ Using delayed damping to minimize transmitted vibrations ⋮ Quasi-periodic oscillation envelopes and frequency locking in rapidly vibrated nonlinear systems with time delay ⋮ Control of vibroimpact dynamics of a single-sided Hertzian contact forced oscillator ⋮ Suppression of hysteresis in a forced Van der Pol-Duffing oscillator ⋮ Energy harvesting in a Mathieu-van der Pol-Duffing MEMS device using time delay ⋮ Effect of fast parametric viscous damping excitation on vibration isolation in sdof systems ⋮ Hysteresis suppression for primary and subharmonic 3:1 resonances using fast excitation ⋮ Control of a Delayed Limit Cycle Using the Tilt Angle of a Fast Excitation ⋮ Suppressing birhythmicity by parametrically modulating nonlinearity in limit cycle oscillators
Cites Work
- Symmetry breaking bifurcations of a parametrically excited pendulum
- Frequency locking in a forced Mathieu--Van der Pol--Duffing system
- Analytical approximations for stick-slip vibration amplitudes
- Perturbation analysis of entrainment in a micromechanical limit cycle oscillator
- Numerical study for parametric excitation of differential equation near a 4-resonance
- Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator
- Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
- Vibration of a nonlinear self-excited system with two degrees of freedom under external and parametric excitation
- 2:2:1 resonance in the quasiperiodic Mathieu equation
- Three-period quasi-periodic solutions in the self-excited quasi-periodic Mathieu oscillator
- Considerations on self- and parametrically excited vibrational systems
- Stiffening Effects of High-Frequency Excitation: Experiments for an Axially Loaded Beam
- Analytic research on dynamic phenomena of parametrically and self-exited mechanical systems
- SLOW HIGH-FREQUENCY EFFECTS IN MECHANICS: PROBLEMS, SOLUTIONS, POTENTIALS
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