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math.DS2026
On the Abundance of Phase Transitions in Dynamical Systems
Alexander Arbieto, Walter Britto, Elias Rego
In this work, we investigate the mechanisms that trigger phase transitions in both discrete-time and continuous-time dynamical systems. We prove a simple topological condition that…
math.DS2026
Robust transitivity without sectional-hyperbolicity
A. Arbieto, W. Britto, C. A. Morales +1
For any integer , we construct an -dimensional vector field exhibiting a robustly transitive singular attractor which is not sectional-hyperbolic. Nevertheless,…