Chaotic disturbance on the triadic cantor set

Research output: Contribution to journalArticle

Abstract

The effect of chaotic disturbance on the iteration of the triadic Cantor set is studied. It is shown that the iterative procedure which describes the Cantor set is truncated under the influence of disturbance generated by the tent map. Conditions which lead to truncation of any chaotic map are also obtained. Computer simulations with the logistic map are shown to be in good agreement with our discussions.

Original languageEnglish
Pages (from-to)249-254
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume218
Issue number3-6
DOIs
Publication statusPublished - 1996 Aug 5

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disturbances
logistics
iteration
computerized simulation
approximation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "The effect of chaotic disturbance on the iteration of the triadic Cantor set is studied. It is shown that the iterative procedure which describes the Cantor set is truncated under the influence of disturbance generated by the tent map. Conditions which lead to truncation of any chaotic map are also obtained. Computer simulations with the logistic map are shown to be in good agreement with our discussions.",
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Chaotic disturbance on the triadic cantor set. / Chen, Chia-Chu.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 218, No. 3-6, 05.08.1996, p. 249-254.

Research output: Contribution to journalArticle

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