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arXiv · 2111.09816

A scaling law chaotic system

Xiao-Jun Yang
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Abstract

In this article, we propose an anomalous chaotic system of the scaling-law ordinary differential equations involving the Mandelbrot scaling law. This chaotic behavior shows the "Wukong" effect. The comparison among the Lorenz and scaling-law attractors is discussed in detail. We also suggest the conjecture for the fixed point theory for the fractal SL attractor. The scaling-law chaos may be open a new door in the study of the chaos theory.

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Xiao-Jun Yang. 2021-11-16. A scaling law chaotic system. https://doi.org/10.1142/s0218348x22500578

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