2 problems

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Wieczorek–Xie–Jones conjecture for normally hyperbolic compact invariant sets
The compactified system is obtained from a nonautonomous system with autonomous future and past limit systems, and the equilibria of those limit systems correspond to equilibria of…
Conjectureopendynamical-systems invariant-manifolds normally-hyperbolic-dynamicsarXiv posted 2 days ago
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Extension of invariant manifold theorems to normally hyperbolic compact invariant sets
Let $A^+$ and $A^-$ be general normally hyperbolic compact invariant sets of the respective limit systems. Invariant manifold extension conjecture. The statements for equilibria in…
Conjectureopendynamical-systems invariant-manifolds normally-hyperbolic-dynamicsarXiv posted 2 days ago

Wieczorek–Xie–Jones conjecture for normally hyperbolic compact invariant sets