Hysteresis suppression and synchronization near 3:1 subharmonic resonance

DOI10.1016/j.chaos.2009.02.043zbMath1198.34117OpenAlexW2016394460MaRDI QIDQ603662

Abdelhak Fahsi, Mohamed Belhaq

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.02.043

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (2)

Dynamics of hysteretic-related Van-der-Pol oscillators: the small parameter method ⋮ Analytics of heteroclinic bifurcation in a \(3:1\) subharmonic resonance

Cites Work

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• Suppression of hysteresis in a forced Van der Pol-Duffing oscillator
• \(2:1\) and \(1:1\) frequency-locking in fast excited van der Pol-Mathieu-Duffing oscillator
• Effect of vertical high-frequency parametric excitation on self-excited motion in a delayed van der Pol oscillator
• Slow effects of fast harmonic excitation for elastic structures
• Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations
• Effect of fast harmonic excitation on a self-excited motion in van der Pol oscillator
• Three-period quasi-periodic solutions in the self-excited quasi-periodic Mathieu oscillator
• Stiffening Effects of High-Frequency Excitation: Experiments for an Axially Loaded Beam

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