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math.DS2026
An exact structural identity and its normal form consequences in a modified Leslie--Gower model
Roberto Albarrán-García, Martha Alvarez-Ramírez, Marco Polo García-Rivera
Zhao and Zhao (2026) established a codimension-four Bogdanov--Takens singularity in a modified Leslie--Gower predator--prey model through a recursive normal form computation. We sh…
math.DS2026
Nonlinear Stability, Resonances, and Singular Reduction in the Unequal-Mass Equilateral Restricted Four-Body Problem
J. Alejandro Zepeda-Ramírez, Martha Álvarez-Ramírez
We study the nonlinear stability of the elliptic equilibrium points , , and in the planar equilateral restricted four-body problem with unequal primary masses. We p…