Concepedia

Equivalence of the Melnikov Function Method and the Averaging Method

Maoan Han, Valery G. Romanovski, Xiang Zhang

Qualitative Theory of Dynamical Systems · 2015 · 61 citations · 13 references

DOI

Concepts

References

13

Ordinary Differential Equations.

Ray Redheffer, Jack K. Hale · American Mathematical Monthly · 1971 · 2.2K citations

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

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

, , +15

Averaging methods for finding periodic orbits via Brouwer degree

Adriana Buică, Jaume Llibre · Bulletin des Sciences Mathématiques · 2003 · 304 citations

, , +8

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

Successive derivatives of a first return map, application to the study of quadratic vector fields

Jean–Pierre Françoise · Ergodic Theory and Dynamical Systems · 1996 · 158 citations

, , +9