Hysteresis suppression and synchronization near 3:1 subharmonic resonance

Abdelhak Fahsi and Mohamed Belhaq

Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1031-1036

Abstract: Effect of a high-frequency excitation on hysteresis and synchronization area in a forced van der Pol–Duffing oscillator near the subharmonic 3:1 resonance is analyzed. By means of perturbation techniques, the 3:1 resonance area and the quasiperiodic modulation domain are captured. The results shown that adding a high-frequency excitation causes the backbone curves to shift and to bend from softening to hardening. The results also reveal that a high-frequency excitation significantly affects the resonance and the synchronization zones. Further, jump phenomenon occurring in a certain range of the forcing frequency suggesting that hysteresis near the 3:1 subharmonic resonance cannot be ignored in practical applications.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1031-1036

DOI: 10.1016/j.chaos.2009.02.043

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