72 citations · 140 across the 39 of their papers we have counts for
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math.DS2008★ 72 cited
On the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem
Gal Binyamini, Dmitry Novikov, Sergei Yakovenko
We prove that the number of limit cycles generated by a small non-conservative perturbation of a Hamiltonian polynomial vector field on the plane, is bounded by a double exponentia…
math.DS2008★ 5 cited
Polynomial Bounds for Oscillation of Solutions of Fuchsian Systems
Gal Binyamini, Sergei Yakovenko
We study the problem of placing effective upper bounds for the number of zeros of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-unif…