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dc.contributor.authorMartinovič, Tomáš
dc.date.accessioned2018-04-04T07:48:38Z
dc.date.available2018-04-04T07:48:38Z
dc.date.issued2018
dc.identifier.citationMathematical Methods in the Applied Sciences. 2018, vol. 41, issue 6, p. 2287-2293.cs
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.urihttp://hdl.handle.net/10084/125573
dc.description.abstractThis paper describes the procedure of extracting information about the dynamics of highway traffic speed. The wavelet shrinkage is used to diminish the effect of the noise. Afterwards, the dynamical properties of the system are estimated through the 0-1 test for chaos, Lyapunov exponents and the notion of Shannon entropy. The results indicate the strong chaotic dynamics in the traffic speed data. In addition to that, the predictability of the system is related to the values of the maximal Lyapunov exponent and Shannon entropy. The higher those values are, the worse the predictability of the system is. Furthermore, it is shown that Shannon entropy can be used to detect changes in dynamics on different time scales.cs
dc.language.isoencs
dc.publisherWileycs
dc.relation.ispartofseriesMathematical Methods in the Applied Sciencescs
dc.relation.urihttps://doi.org/10.1002/mma.4234cs
dc.rights© 2016 John Wiley & Sons, Ltd.cs
dc.subjectdynamical systemcs
dc.subjectchaoscs
dc.subjectLyapunov exponentcs
dc.subjectShannon entropycs
dc.subject0-1 test for chaoscs
dc.subjectroad trafficcs
dc.subjecttime seriescs
dc.titleChaotic behaviour of noisy traffic datacs
dc.typearticlecs
dc.identifier.doi10.1002/mma.4234
dc.type.statusPeer-reviewedcs
dc.description.sourceWeb of Sciencecs
dc.description.volume41cs
dc.description.issue6cs
dc.description.lastpage2293cs
dc.description.firstpage2287cs
dc.identifier.wos000427585700005


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