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dc.contributor.authorTaillard, Pierre-André
dc.contributor.authorKergomard, Jean
dc.contributor.authorLaloë, Franck
dc.date.accessioned2016-01-07T16:34:21Z
dc.date.available2016-01-07T16:34:21Z
dc.date.issued2010
dc.identifier.issn0924-090X
dc.identifier.doi10.1007/s11071-010-9715-5
dc.identifier.urihttp://hdl.handle.net/11654/12026
dc.description.abstractThe dynamical equations of clarinet-like systems are known to be reducible to a non-linear iterated map within reasonable approximations. This leads to time oscillations that are represented by square signals, analogous to the Raman regime for string instruments. In this article, we study in more detail the properties of the corresponding non-linear iterations, with emphasis on the geometrical constructions that can be used to classify the various solutions (for instance with or without reed beating) as well as on the periodicity windows that occur within the chaotic region. In particular, we find a regime where period tripling occurs and examine the conditions for intermittency. We also show that, while the direct observation of the iteration function does not reveal much on the oscillation regime of the instrument, the graph of the high order iterates directly gives visible information on the oscillation regime (characterization of the number of period doubligs, chaotic behaviour, etc.).
dc.description.urihttps://hal.archives-ouvertes.fr/hal-00440847
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofNonlinear Dynamics
dc.accessRightsAnonymous
dc.subjectMusical acoustics
dc.titleIterated maps for clarinet-like systems
dc.type01 - Zeitschriftenartikel, Journalartikel oder Magazin
dc.volume62
dc.audienceScience
fhnw.publicationStatePublished
fhnw.ReviewTypeAnonymous ex ante peer review of a complete publication
fhnw.InventedHereYes
fhnw.PublishedSwitzerlandNo
fhnw.pagination253-271
fhnw.IsStudentsWorkno


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