11 citations · 12 across the 4 of their papers we have counts for
5 papers
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…
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…
A note on local integrability of differential systems
Xiang Zhang
For an --dimensional local analytic differential system with , the Poincaré nonintegrability theorem states that if the eigenvalues of are no…
Global dynamics of planar quasi-homogeneous differential systems
Yilei Tang, Xiang Zhang
In this paper we provide a new method to study global dynamics of planar quasi--homogeneous differential systems. We first prove that all planar quasi--homogeneous polynomial diffe…
The number of polynomial solutions of polynomial Riccati equations
Armengol Gasull, Joan Torregrosa, Xiang Zhang
Consider real or complex polynomial Riccati differential equations with all the involved functions being polynomials of degree at most . W…