https://doi.org/10.1140/epjs/s11734-024-01218-y
Regular Article
Dynamic analysis on Liu system under fractal–fractional differentiation
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632 014, Vellore, Tamil Nadu, India
Received:
11
March
2024
Accepted:
4
June
2024
Published online:
1
July
2024
The exploration of fractal geometry and fractional calculus aids in comprehending intricate dynamic behavior, thereby enhancing our understanding of nonlinear dynamical systems. This study presents two numerical schemes for solving the fractal–fractional Liu chaotic system. The Caputo fractal–fractional derivative and the Atangana-Baleanu fractal–fractional derivative are applied for capturing and predicting distinct chaotic behaviors exhibited by the Liu chaotic system as well as hyperchaotic Chen system over multiple fractional and fractal orders. The results demonstrate that both the fractal and fractional components aid to showcase various complexities in the Liu chaotic and hyperchaotic Chen attractors.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
