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On the 0-1 Test for Chaos Applied to the Generalized Fractional-order Arnold Map

  • University of Oum El Bouaghi
  • Irbid National University
  • Al-Zaytoonah University of Jordan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

It is well-known that fractional-order discrete-time systems have a major advantage over their integer-order counterparts, because they can better describe the memory characteristics and the historical dependence of the underlying physical phenomenon. This paper investigates chaos in the fractional- order Arnold map via 0-1 test algorithm for chaos. A number of chaotic attractors are generated from the system dynamics, indicating that the behaviour of the fractional-order map becomes unpredictable, independently of the fractional-order values.

Original languageEnglish
Title of host publication2021 International Conference on Information Technology, ICIT 2021 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages242-245
Number of pages4
ISBN (Electronic)9781665428705
DOIs
StatePublished - 14 Jul 2021
Event2021 International Conference on Information Technology, ICIT 2021 - Amman, Jordan
Duration: 14 Jul 202115 Jul 2021

Publication series

Name2021 International Conference on Information Technology, ICIT 2021 - Proceedings

Conference

Conference2021 International Conference on Information Technology, ICIT 2021
Country/TerritoryJordan
CityAmman
Period14/07/2115/07/21

Keywords

  • 0-1 test for chaos
  • Arnold map
  • chaotic dynamics
  • discrete fractional calculus

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