72 citations · 117 across the 35 of their papers we have counts for
Showing 2008 · math.DSShow all
2 papers · 2 filters
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★ 4 cited
On the finite cyclicity of open period annuli
Lubomir Gavrilov, Dmitry Novikov
Let be an open, relatively compact period annulus of real analytic vector field on an analytic surface. We prove that the maximal number of limit cycles which bifurcate f…