4 papers
Linear Feedback Controller for Homogeneous Polynomial Systems
Shaoxuan Cui, Qi Zhao, Guanlin Li +2
This paper studies stabilization and its corresponding closed-loop region-of-attraction (ROA) for homogeneous polynomial dynamical systems whose nonlinear term admits an orthogonal…
Slow-fast dynamics in a planar parasite--host model with an extinction singularity
Jacopo Borsotti, Hildeberto Jardón-Kojakhmetov, Mattia Sensi
We study a slow-fast parasite--host model featuring a singularity at the extinction state. Using techniques from Geometric Singular Perturbation Theory (GSPT), and in particular th…
Singular basins in multiscale systems: tunneling between stable states
Serhiy Yanchuk, Sebastian Wieczorek, Hildeberto Jardón-Kojakhmetov +1
Real-world systems often evolve on different timescales and possess multiple coexisting stable states. Whether or not a system returns to a given stable state after being perturbed…
Hopf-Bautin and homoclinic bifurcations in a Saltzman-Maasch model with cubic feedback
Marco Polo García-Rivera, Martha Alvarez-Ramírez, Hildeberto Jardón-Kojakhmetov
This paper investigates a deterministic variant of the Saltzman-Maasch model for Pleistocene glacial cycles, formulated as a three-dimensional dynamical system with cubic feedback…