Homoclinic Connections in Strongly Self-Excited Nonlinear Oscillators: The Melnikov Function and the Elliptic Lindstedt–Poincaré Method

Perturbation Methods in Applied Mathematics

Julian D. Cole, Lawrence E. Levine · IEEE Transactions on Systems Man and Cybernetics · 1973 · 1.8K citations

Natural Sciences, Mathematics, Physics +14

Handbook of Elliptic Integrals for Engineers and Scientists

Y. L. L., Paul F. Byrd, Morris D. Friedman · Mathematics of Computation · 1972 · 1.3K citations

Engineering, Civil Engineering, Water Resources Management +6

Exponential dichotomies and transversal homoclinic points

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

Natural Sciences, Mathematics, Dynamical Systems +12

Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3

Freddy Dumortier, Robert Roussarie, Jorge Sotomayor · Ergodic Theory and Dynamical Systems · 1987 · 228 citations · Full text

Natural Sciences, Mathematics, Descriptive Geometry +9

Averaging using elliptic functions: approximation of limit cycles

V.T. Coppola, Richard H. Rand · Acta Mechanica · 1990 · 137 citations

Computing, Computational Engineering, Stochastic Processes +10