Coupled Discrete Fractional-Order Logistic Maps
Danca, Marius-F., Fečkan, M., Kuznetsov, N., & Chen, G. (2021). Coupled Discrete Fractional-Order Logistic Maps. Mathematics, 9(18), Article 2204. https://doi.org/10.3390/math9182204
DisciplineComputing, Information Technology and MathematicsTietotekniikkaLaskennallinen tiedeComputing, Information Technology and MathematicsMathematical Information TechnologyComputational Science
© 2021 by the authors. Licensee MDPI, Basel, Switzerland
This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo’s delta fractional difference, regarding its numerical integration and chaotic dynamics. Some interesting new dynamical properties and unusual phenomena from this coupled chaotic-map system are revealed. Moreover, the coexistence of attractors, a necessary ingredient of the existence of hidden attractors, is proved and analyzed.
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Additional information about fundingM.F. is partially supported by the Slovak Research and Development Agency under the contract No. APVV-18-0308 and by the Slovak Grant Agency VEGA No. 1/0358/20 and No. 2/0127/20. N.K. and M.-F.D. acknowledge support from the Russian Science Foundation project 19-41-02002.
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