Concepedia

On the Abelian integrals of quadratic reversible centers with orbits formed by genus one curves of higher degree

Xiaochun Hong, Shaolong Xie, Rui Ma

Journal of Mathematical Analysis and Applications · 2015 · 12 citations · 23 references

DOI

Concepts

References

23

HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

Jibin Li · International Journal of Bifurcation and Chaos · 2003 · 533 citations

, , +15

Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields

Vladimir I. Arnold · Functional Analysis and Its Applications · 1977 · 251 citations

, , +10

Polynomial systems: a lower bound for the Hilbert numbers

Colin Christopher, N. G. Lloyd · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1995 · 98 citations

, , +5

Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians

Emil Horozov, Iliya D. Iliev · Nonlinearity · 1998 · 97 citations

, , +6

Averaging analysis of a perturbated quadratic center

Jaume Llibre, Jesús S. Pérez del Rı́o, José Ángel Rodríguez · Nonlinear Analysis · 2001 · 69 citations

, , +8