Author

Cheng Zheng

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Preprint Sep 2026

An Efficient Symbolic Algorithm for Computing Lyapunov Constants in Planar Switching Systems

Lyapunov constants are a crucial tool for analyzing bifurcation behavior in switching systems. This paper proposes an efficient algebraic symbolic algorithm for computing Lyapunov constants in planar switching systems. By mapping the vector fields into the complex domain, we construct a normal form algorithm based on L...

Cheng Zheng, Lai-Gang Guo, Xiang-Yu Wang · 0 citations

Preprint Jul 2026

A Criterion for Equidistribution along the $\Omega$ Function over Polynomial Sequences with Applications

Let $P (Y_1, ..., Y_d)$ be a certain fixed homogeneous polynomial of integral coefficients. In this paper, we establish a quantitative equidistribution criterion for the ergodic averages along $\Omega (|P (n_1, ..., n_d)|)$. Consequently, by an estimate of Lachand, we prove the following variant of a theorem of Bergels...

Zhi Qi, Cheng Zheng · 0 citations