Search results for "fractional-order difference equation"

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Coupled Discrete Fractional-Order Logistic Maps

2021

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.

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 attractorMathematicsMathematics
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