2 papers
math.DS2026
Symplectic blenders near whiskered tori and persistence of saddle-center homoclinics
Dongchen Li, Dmitry Turaev
A blender is a hyperbolic basic set such that the projection of its stable/unstable set onto some center subspace has a higher topological dimension than the set itself. We prove t…
math.DS2025
On Kolmogorov-typical properties of symplectic dynamics
Pierre Berger, Dmitry Turaev
We propose a general framework, within which we prove that several properties, such as the fast growth of the number of periodic points, the universality, and the high emergence, h…