Haibo Lu

Local maximal-canard threshold shifts under Runge–Kutta discretization: an observable-specific order condition

This record contains the 67-page arXiv preprint and its complete compilable upload package. The source archive also contains two vector figures, a symbolic residual audit, invariant-graph threshold-validation scripts, machine-readable diagnostics, representative graph data, and r...

Neutral Entry–Exit Cycles with Quadratic Grazing: Uniform Return Reduction and Local Two-Parameter Bifurcations

Version 1.4.0 of the research materials for “Neutral Entry–Exit Cycles with Quadratic Grazing: Uniform Return Reduction and Local Two-Parameter Bifurcations” (arXiv:2607.27464). The primary record file is neutral-entry-exit-arxiv.pdf (43 pages, 3 figures) and is selected for dire...

Sharp Cyclicity of Neutral Entry–Exit Cycles with Quadratic Grazing

This record archives version 1.2.0 of the research materials for the preprint “Sharp Cyclicity of Neutral Entry–Exit Cycles with Quadratic Grazing.” It contains a standalone 42-page arXiv-layout PDF and a curated reproducibility archive with manuscript source, proof modules, inte...