Concepedia

Melnikov functions for singularly perturbed ordinary differential equations

Mičhal Fĕckan

Nonlinear Analysis · 1992 · 13 citations · 6 references

DOI

Concepts

References

6

Geometric singular perturbation theory for ordinary differential equations

Neil Fenichel · Journal of Differential Equations · 1979 · 2.4K citations

, , +13

Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields

John Guckenheimer, Philip Holmes, Marshall Slemrod · Journal of Applied Mechanics · 1984 · 1.3K citations · Full text

, , +14

Exponential dichotomies and transversal homoclinic points

Kenneth J. Palmer · Journal of Differential Equations · 1984 · 573 citations

, , +12

Ordinary Differential Equations

D. S., L. S. Pontryagin · Mathematics of Computation · 1963 · 289 citations

, , +6

Homoclinic Orbits in Slowly Varying Oscillators

Stephen Wiggins, Philip Holmes · SIAM Journal on Mathematical Analysis · 1987 · 79 citations

, , +17