Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.2208566
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dc.titleEffect of resonant-frequency mismatch on attractors
dc.contributor.authorWang, X.
dc.contributor.authorLai, Y.-C.
dc.contributor.authorLai, C.H.
dc.date.accessioned2014-10-16T09:22:15Z
dc.date.available2014-10-16T09:22:15Z
dc.date.issued2006
dc.identifier.citationWang, X., Lai, Y.-C., Lai, C.H. (2006). Effect of resonant-frequency mismatch on attractors. Chaos 16 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2208566
dc.identifier.issn10541500
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/96336
dc.description.abstractResonant perturbations are effective for harnessing nonlinear oscillators for various applications such as controlling chaos and inducing chaos. Of physical interest is the effect of small frequency mismatch on the attractors of the underlying dynamical systems. By utilizing a prototype of nonlinear oscillators, the periodically forced Duffing oscillator and its variant, we find a phenomenon: resonant-frequency mismatch can result in attractors that are nonchaotic but are apparently strange in the sense that they possess a negative Lyapunov exponent but its information dimension measured using finite numerics assumes a fractional value. We call such attractors pseudo-strange. The transition to pesudo-strange attractors as a system parameter changes can be understood analytically by regarding the system as nonstationary and using the Melnikov function. Our results imply that pseudo-strange attractors are common in nonstationary dynamical systems. © 2006 American Institute of Physics.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1063/1.2208566
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1063/1.2208566
dc.description.sourcetitleChaos
dc.description.volume16
dc.description.issue2
dc.description.page-
dc.identifier.isiut000238729600027
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