A SCALING LAW CHAOTIC SYSTEM

Xiao-Jun Yang
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Xiao-Jun Yang: State Key Laboratory for Geo-Mechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China2School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China3Department of Mathematics, Faculty of Science King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 03, 1-8

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

Keywords: Fractal; Chaos; Mandelbrot Scaling Law; Scaling-Law Ordinary Differential Equation; Fractal Dimension (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500578

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