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Communication Dans Un Congrès Année : 2021

Fractional Chaotic system solutions and their impact on chaotic behaviour

Résumé

This paper is devoted to the analysis of calculation methods for solving fractional chaotic systems and the impact of these different approaches on the behavior of the fractional chaotic system. Two widely used time domain fractional differential equations solving approaches are discussed, the fractional ABM correctorpredictor method based on Caputo fractional derivative definition, and the long memory calculation approach based on Grunwald fractional derivative. These numerical solutions calculation methods are employed to depict the phase portrait of a class of commensurate fractional chaotic systems. The Lyapunov exponent and bifurcation diagrams of the systems over various fractional orders and parameters are illustrated to detect the impact on the dynamics of the chaotic system applying different calculation approaches.
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Dates et versions

hal-03533065 , version 1 (18-01-2022)

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  • HAL Id : hal-03533065 , version 1

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Chunxiao Yang, Ina Taralova, Jean-Jacques Loiseau. Fractional Chaotic system solutions and their impact on chaotic behaviour. The 14th CHAOS 2021 International Conference, Jun 2021, Athens(Turn to virtual), Greece. ⟨hal-03533065⟩
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