3 papers
math.DS2026
The trace field on the prey nullcline: criticality of planar Hopf bifurcations on the admissible branch
E. Chan-López
Along the prey nullcline of a planar system, the Jacobian entry satisfies , where . Under and predator self-damping, the Hopf trace condi…
math-ph2026
Symmetric Nonlinear Cellular Automata as Algebraic References for Rule 30
E. Chan-López, A. Martín-Ruiz
A comparative algebraic framework for elementary cellular automata is developed, centered on the role of spatial symmetry. The primary object of study is Rule 22, the elementary ce…
math.DS2026
Nullcline geometry constrains the location of oscillatory instabilities in planar predator--prey systems
E. Chan-López, A. Martín-Ruiz, Víctor Castellanos
We prove that the critical structure of the prey nullcline governs where oscillatory instabilities can emerge in planar predator--prey systems. For a broad class of Gause--type mod…