3 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…
math.DS2017
On Herman's Positive Entropy Conjecture
Pierre Berger, Dimitry Turaev
We show that any area-preserving -diffeomorphism of a two-dimensional surface displaying an elliptic fixed point can be -perturbed to one exhibiting a chaotic island whos…