3 papers
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.DS2023
Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms
Bernardo Carvalho, Elias Rego
We discuss different regularities on stable/unstable holonomies of cw-hyperbolic homeomorphisms and prove that if a cw-hyperbolic homeomorphism has continuous joint stable/unstable…
math.DS2023
On the Shadowableness of Flows With Hyperbolic Singularities
Alexander Arbieto, Andrés M. López, Elias Rego +1
In this work we study the existence of singular flows satisfying shadowing-like properties. More precisely, we prove that if C1 -vector field on a closed manifold induces a chain-r…