Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 21, Issue 1, Pages 275-286Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127411028416
Keywords
Vibrational resonance; asymmetric Duffing oscillator; biperiodic force
Funding
- Spanish Ministry of Education and Science [FIS2006-08525]
- Spanish Ministry of Science and Innovation [FIS2009-09898]
- Department of Science and Technology, Government of India
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We analyze how the asymmetry of the potential well of the Duffing oscillator affects the vibrational resonance. We obtain, numerically and theoretically, the values of the low-frequency and amplitude of the high-frequency forces at which vibrational resonance occurs. Furthermore, we observe that an additional resonance is induced by the asymmetry of the potential well. We account the additional resonance in terms of resonant frequency of the slow motion of the system. Resonance occurs in the asymmetric system for the input signal frequency range for which it is not possible in the symmetric system. Resonance is also studied with nonsinusoidal input signals and in the presence of additive Gaussian white noise.
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