Fractional q-deformed chaotic maps: A weight function approach

Wu G., Niyazi Cankaya M., Banerjee S.

Chaos, vol.30, no.12, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 12
  • Publication Date: 2020
  • Doi Number: 10.1063/5.0030973
  • Journal Name: Chaos
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Computer & Applied Sciences, EMBASE, INSPEC, MEDLINE, zbMATH, DIALNET
  • Uşak University Affiliated: Yes

Abstract

The fractional derivative holds long-Time memory effects or non-locality. It successfully depicts the dynamical systems with long-range interactions. However, it becomes challenging to investigate chaos in the deformed fractional discrete-Time systems. This study turns to fractional quantum calculus on the time scale and reports chaos in fractional q-deformed maps. The discrete memory kernels are used, and a weight function approach is proposed for fractional modeling. Rich q-deformed dynamics are demonstrated, which shows the methodology's efficiency.