This paper studies the capability of digital architecture to mimic fractal behavior. As chaotic attractors realized digitally had opened many tracks, digital designs mimicking fractals may ultimately achieve the same. This study is based on a complex single-dimensional discrete chaotic system known as the generalized positive logistic map. The fractals realized from this system are linked to the results of the mathematical analysis to understand the fractal behavior with different variations. A digital hardware architecture manifesting the fractal behavior is achieved on FPGA, showing a fractal entity experimentally. With this digital realization, it is hoped that fractals can follow the example of chaotic attractors digital applications.

中文翻译：

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复杂物流图分形行为的FPGA实现

本文研究了数字架构模拟分形行为的能力。随着数字化实现的混沌吸引子打开了许多轨道，模仿分形的数字设计最终可能实现同样的效果。本研究基于称为广义正逻辑图的复杂一维离散混沌系统。从该系统实现的分形与数学分析的结果相关联，以了解具有不同变化的分形行为。在FPGA上实现了体现分形行为的数字硬件架构，通过实验显示了分形实体。通过这种数字化实现，希望分形可以效仿混沌吸引子数字应用的例子。