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math.DS2026
On distinguishing genuine from spurious chaos in planar singular and nonsmooth systems: A diagnostic approach
Martha Alvarez Ramírez
We present a rigorous reassessment of chaotic behavior in two-dimensional autonomous systems with singular or nonsmooth dynamics. For the Cummings-Dixon-Kaus (CDK) model, we show t…
math.DS2024
Hopf and Bautin bifurcations in a 3D model for pest leafhopper with stage structure and generalist predatory mite
Martha Alvarez Ramírez, Marco Polo García Rivera, Ahida Ortiz Santos
In a recent paper of Yuan and Zhu (J. Differential Equations 321(2022) 99-129), the nature of dynamics of a generalist predator and prey with stage structure is modeled as a three-…