Hardware Implementation of a Two-dimensional Fractional Map with Hidden Attractors
2023 International Conference on Fractional Differentiation and Its Applications (ICFDA)(2023)
摘要
Several efforts have been recently devoted to the hardware implementations of fractional systems. This manuscript makes a contribution to the topic by introducing the first example of hardware implementation of a 2D fractional map with hidden. Specifically, the paper presents first a new class of two-dimensional fractional map with no equilibruim points using the Grunwald-Letnikov difference operator. Then, the system dynamics are analyzed via numerical simulation, such as bifurcation diagrams, Lyapunov exponents and phase portraits. Finally, the paper illustrates a hardware implementation of the 2D fractional map via a microcontroller, with the aim to show the real presence of chaotic hidden attractors in physical systems described by non-integer order maps.
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关键词
Hardware implementation,Discrete fractional calculus,chaotic map
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