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math.DS2022
On phase at a resonance in slow-fast Hamiltonian systems
Yuyang Gao, Anatoly Neishtadt, Alexey Okunev
We consider a slow-fast Hamiltonian system with one fast angular variable (a fast phase) whose frequency vanishes on some surface in the space of slow variables (a resonant surface…
math.DS2022
Attractors with Non-Invariant Interior and Pinheiro's Theorem A
Stanislav Minkov, Alexey Okunev, Ivan Shilin
This is a provisional version of an article, intended to be devoted to properties of attractor's intertior for smooth maps (not diffeomorphisms). We were originally motivated for t…