Short-phase anomalies in intermittent band switching

Post, T.; Capel, H.W.; Weele, J.P. van der

doi:10.1016/0375-9601(88)90919-x

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2018

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Cited by 8 publications

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“…The binary system is applied in the numbering, i.e., CB(0), CB(1), CB(00), CB(01), CB(10), CB(11), and so on. The Single Chaotic Band (SCB) is the initial section prior to any splitting [ 13 , 15 , 19 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ]. This phenomenon of CB division is better known as “merging”.…”

Section: Introductionmentioning

confidence: 99%

High Density Nodes in the Chaotic Region of 1D Discrete Maps

Livadiotis

2018

Entropy

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Abstract:We report on the definition and characteristics of nodes in the chaotic region of bifurcation diagrams in the case of 1D mono-parametrical and S-unimodal maps, using as guiding example the logistic map. We examine the arrangement of critical curves, the identification and arrangement of nodes, and the connection between the periodic windows and nodes in the chaotic zone. We finally present several characteristic features of nodes, which involve their convergence and entropy.

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