dynamics analysis of a novel 3d chaotic system

In this paper, the behavior of a novel three-dimensional chaotic system is investigated. to analyze the dynamical characteristics in detail and identify the existing oscillations for this system, the geometric method and the statistical method are employed. the geometric method calculates the curvature of phase space. and the statistical method enables quantitative analysis of the oscillations and assessment of the chaos intensity. the results indicate that the discussion of these two geometric and statistical approaches can be highly effective in detecting oscillatory patterns and accurately characterizing the chaotic behavior of three-dimensional dynamical systems.