Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.74.016203
DC FieldValue
dc.titleCharacterization of noise-induced strange nonchaotic attractors
dc.contributor.authorWang, X.
dc.contributor.authorLai, Y.-C.
dc.contributor.authorLai, C.H.
dc.date.accessioned2014-10-16T09:17:53Z
dc.date.available2014-10-16T09:17:53Z
dc.date.issued2006
dc.identifier.citationWang, X., Lai, Y.-C., Lai, C.H. (2006). Characterization of noise-induced strange nonchaotic attractors. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 74 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.74.016203
dc.identifier.issn15393755
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/95964
dc.description.abstractStrange nonchaotic attractors (SNAs) were previously thought to arise exclusively in quasiperiodic dynamical systems. A recent study has revealed, however, that such attractors can be induced by noise in nonquasiperiodic discrete-time maps or in periodically driven flows. In particular, in a periodic window of such a system where a periodic attractor coexists with a chaotic saddle (nonattracting chaotic invariant set), none of the Lyapunov exponents of the asymptotic attractor is positive. Small random noise is incapable of causing characteristic changes in the Lyapunov spectrum, but it can make the attractor geometrically strange by dynamically connecting the original periodic attractor with the chaotic saddle. Here we present a detailed study of noise-induced SNAs and the characterization of their properties. Numerical calculations reveal that the fractal dimensions of noise-induced SNAs typically assume fractional values, in contrast to SNAs in quasiperiodically driven systems whose dimensions are integers. An interesting finding is that the fluctuations of the finite-time Lyapunov exponents away from their asymptotic values obey an exponential distribution, the generality of which we are able to establish by a theoretical analysis using random matrices. We suggest a possible experimental test. We expect noise-induced SNAs to be general. © 2006 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.74.016203
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1103/PhysRevE.74.016203
dc.description.sourcetitlePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.description.volume74
dc.description.issue1
dc.description.page-
dc.description.codenPLEEE
dc.identifier.isiut000239425700031
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