Fractional q-deformed chaotic maps: A weight function approach

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...

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Veröffentlicht in:	Chaos (Woodbury, N.Y.) N.Y.), 2020-12, Vol.30 (12), p.121106-121106
Hauptverfasser:	Wu, Guo-Cheng, Niyazi Çankaya, Mehmet, Banerjee, Santo
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos theory Deformation Discrete time systems Fractional calculus Weighting functions
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creator	Wu, Guo-Cheng Niyazi Çankaya, Mehmet Banerjee, Santo
description	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.
doi_str_mv	10.1063/5.0030973
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subjects	Chaos theory Deformation Discrete time systems Fractional calculus Weighting functions
title	Fractional q-deformed chaotic maps: A weight function approach
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