6533b7d7fe1ef96bd1267cd3

RESEARCH PRODUCT

Coupled Discrete Fractional-Order Logistic Maps

Michal FečkanMichal FečkanGuanrong ChenNikolay KuznetsovMarius-f. Danca

subject

General Mathematicscaputo delta fractional differenceChaoticattraktoritstabilityStability (probability)fractional-order difference equationNumerical integrationNonlinear Sciences::Chaotic DynamicsAttractorQA1-939Computer Science (miscellaneous)Applied mathematicsOrder (group theory)dynaamiset systeemitEngineering (miscellaneous)Mathematicsdiscrete fractional-order systemhidden attractorMathematics

description

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.

yearjournalcountryeditionlanguage
2021-09-01Mathematics
https://doi.org/10.3390/math9182204