主题词：Mathematical Dynamics and Fractals; Cosmology and Gravitation Theories; Black Holes and Theoretical Physics; Geometric Analysis and Curvature Flows; Advanced Differential Geometry Research; Quantum chaos and dynamical systems; Advanced Differential Equations and Dynamical Systems; Chaos control and synchronization; Geometry and complex manifolds; Advanced Topology and Set Theory; Mathematics and Applications; Relativity and Gravitational Theory; Homotopy and Cohomology in Algebraic Topology; Fractional Differential Equations Solutions; Nonlinear Differential Equations Analysis; Geophysics and Gravity Measurements; Nonlinear Dynamics and Pattern Formation; Algebraic and Geometric Analysis; Galaxies: Formation, Evolution, Phenomena; Nonlinear Waves and Solitons; Fixed Point Theorems Analysis; Geometric and Algebraic Topology; Stability and Controllability of Differential Equations; Advanced Numerical Analysis Techniques; Point processes and geometric inequalities