43 citations · 169 across the 15 of their papers we have counts for
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math.DS2020
Meromorphic first integrals of analytic diffeomorphisms
Antoni Ferragut, Armengol Gasull, Xiang Zhang
We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map can have in a neighb…
math.CA2020★ 1 cited
Regularity and convergence of local first integrals of analytic differential systems
Xiang Zhang
Poincaré proved nonexistence of formal first integrals near a nonresonant singularity of analytic autonomous differential systems. In the resonant case with one zero eigenvalue and…
math.DS2020★ 3 cited
Centralizers and normalizers of local analytic and formal vector fields
Niclas Kruff, Sebastian Walcher, Xiang Zhang
We investigate the structure of the centralizer and the normalizer of a local analytic or formal differential system at a nondegenerate stationary point, using the theory of Poinca…