期刊
CHAOS SOLITONS & FRACTALS
卷 127, 期 -, 页码 364-388出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2019.07.010
关键词
Fractional calculus; Variable-order fractional operators; Chaotical maps; Mixed schemes
资金
- Consejo Nacional de Ciencia y Tecnologia through the assignment of master fellowship
- CONACyT: Catedras CONACyT para jovenes investigadores
- SNI-CONACyT
In this paper, we propose a fractional form of two-dimensional generalized mythical bird, butterfly wings and paradise bird maps involving the fractional conformable derivative of Khalil's and Atangana's type, the Liouville-Caputo and Atangana-Baleanu derivatives with constant and variable-order. We obtain new chaotical behaviors considering numerical schemes based on the fundamental theorem of fractional calculus and the Lagrange polynomial interpolation. Also, the dynamics of the proposed maps are investigated numerically through phase plots considering combinations of these derivatives and mixed integration methods for each map. The numerical simulations show very strange and new behaviors for the first time in this manuscript. (C) 2019 Elsevier Ltd. All rights reserved.
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