Global bifurcation of limit cycles in a family of polynomial systems

Estimate of the number of zeros of an abelian integral depending on a parameter and limit cycles

Alexander Varchenko · Functional Analysis and Its Applications · 1984 · 109 citations

Natural Sciences, Computational Engineering, Zero-based Budgeting +4

Linear Estimate of the Number of Zeros of Abelian Integrals for a Kind of Quartic Hamiltonians

Yulin Zhao, Zhifen Zhang · Journal of Differential Equations · 1999 · 86 citations

Natural Sciences, Physics, Quantum Mechanics +4

Real analytic varieties with the finiteness property and complex abelian integrals

Askold Khovanskiĭ · Functional Analysis and Its Applications · 1984 · 85 citations

Natural Sciences, Art History, Analytic Philosophy +8

On Hopf Cyclicity of Planar Systems

Maoan Han · Journal of Mathematical Analysis and Applications · 2000 · 79 citations

Natural Sciences, Mathematics, Dynamical Systems +7

Simple exponential estimate for the number of real zeros of complete abelian integrals

D. Novikov, Sergeî Yakovenko · Annales de l’institut Fourier · 1995 · 45 citations · Full text

Natural Sciences, Mathematics, Differential Equations +8