Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator
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Publication:944875
DOI10.1016/j.chaos.2006.10.040zbMath1142.34332OpenAlexW2044007483MaRDI QIDQ944875
Publication date: 10 September 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2006.10.040
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99)
Related Items (16)
\(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator ⋮ Dynamics of a mass-spring-pendulum system with vastly different frequencies ⋮ Hysteresis suppression and synchronization near 3:1 subharmonic resonance ⋮ Bifurcational mechanism of formation of developed multistability in a van der Pol oscillator with time-delayed feedback ⋮ Dynamics of three coupled limit cycle oscillators with vastly different frequencies ⋮ Using delayed damping to minimize transmitted vibrations ⋮ Controllable parametric excitation effect on linear and nonlinear vibrational resonances in the dynamics of a buckled beam ⋮ Chaos in a magnetic pendulum subjected to tilted excitation and parametric damping ⋮ Parametric resonance in the Rayleigh-Duffing oscillator with time-delayed feedback ⋮ Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays ⋮ Control of vibroimpact dynamics of a single-sided Hertzian contact forced oscillator ⋮ Suppression of hysteresis in a forced Van der Pol-Duffing oscillator ⋮ Effect of fast parametric viscous damping excitation on vibration isolation in sdof systems ⋮ Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity ⋮ 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
Uses Software
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- Stability chart for the delayed Mathieu equation
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- Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
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