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math.DS2021
Reading analytic invariants of parabolic diffeomorphisms from their orbits
Martin Klimes, Pavao Mardesic, Goran Radunovic +1
In this paper we study germs of diffeomorphisms in the complex plane. We address the following problem: How to read a diffeomorphism knowing one of its orbits ? We…
math.CA2021
A remark on first integrals of vector fields
André Belotto da Silva, Martin Klimes, Julio C. Rebelo +1
We provide examples of vector fields on admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by…