Numerical simulation of chaotic maps with the new generalized Caputo-type fractional-order operator
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Date
Authors
Owolabi, Kolade M.
Pindza, Edson
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
This work considers a new generalized operator which is based on the application of Caputo-type fractional
derivative is applied to model a number of nonlinear chaotic phenomena, such as the Oiseau mythique
Bicéphale, Oiseau mythique and L’Oiseau du paradis maps. Numerical approximation of the generalized
Caputo-type fractional derivative using the novel predictor–corrector scheme, which indeed is regarded as
an extension of a well-known Adams–Bashforth–Moulton classical-order algorithm. A range of new strange
chaotic wave propagation was observed for various maps with varying fractional parameters.
Description
Keywords
Chaotic maps, Generalized Caputo-type derivative, Predictor–corrector method, Numerical simulations
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Citation
Owolabi, K.M. & Pindza, E. 2022, 'Numerical simulation of chaotic maps with the new generalized Caputo-type fractional-order operator', Results in Physics, vol. 38, aert. 105563, pp. 1-12, https://doi.org/10.1016/j.rinp.2022.105563.