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math.DS2024
High order homoclinic tangencies of corank 2
Dmitrii Mints
We prove that in the space of maps of a smooth manifold of dimension at least 4 there exist open regions where maps with infinitely many corank-2 homo…
math.DS2021
On decomposition of ambient surfaces admitting A-diffeomorphisms with nontrivial attractors and repellers
V. Grines, D. Mints
It is well-known that there is a close relationship between the dynamics of diffeomorphisms satisfying the axiom and the topology of the ambient manifold. In the given article,…