Numerical simulation of chaotic maps with the new generalized Caputo-type fractional-order operator
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| dc.contributor.author | Owolabi, Kolade M.
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| dc.contributor.author | Pindza, Edson
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| dc.date.accessioned | 2022-11-22T06:01:25Z | |
| dc.date.available | 2022-11-22T06:01:25Z | |
| dc.date.issued | 2022-07 | |
| dc.description.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. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.librarian | dm2022 | en_US |
| dc.description.uri | http://www.elsevier.com/locate/rinp | en_US |
| dc.identifier.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. | en_US |
| dc.identifier.issn | 2211-3797 (online) | |
| dc.identifier.other | 10.1016/j.rinp.2022.105563 | |
| dc.identifier.uri | https://repository.up.ac.za/handle/2263/88409 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | © 2022 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/). | en_US |
| dc.subject | Chaotic maps | en_US |
| dc.subject | Generalized Caputo-type derivative | en_US |
| dc.subject | Predictor–corrector method | en_US |
| dc.subject | Numerical simulations | en_US |
| dc.title | Numerical simulation of chaotic maps with the new generalized Caputo-type fractional-order operator | en_US |
| dc.type | Article | en_US |
