A refined formula for the separatrix splitting for the standard map

A universal instability of many-dimensional oscillator systems

B. V. Chirikov · Physics Reports · 1979 · 4.2K citations

Universal Instability, Physics, Bifurcation Theory +2

An Introduction to Combinatorial Analysis

R. A. Leibler, John Riordan · Mathematical Tables and Other Aids to Computation · 1958 · 1.5K citations

Combinatorial Analysis, Combinatory Analysis, Enumerative Combinatorics +3

A method for determining a stochastic transition

J. M. Greene · Journal of Mathematical Physics · 1979 · 1.1K citations

Kam Surface, Deterministic Dynamical System, Engineering +14

The splitting of separatrices for analytic diffeomorphisms

Ernest Fontich, Carles Simó · Ergodic Theory and Dynamical Systems · 1990 · 102 citations · Full text

Analytic Diffeomorphisms, Geometric Flow, Unperturbed Problem +8

Splitting of separatrices for standard and semistandard mappings

V. F. Lazutkin, I.G. Schachmannski, M. B. Tabanov · Physica D Nonlinear Phenomena · 1989 · 95 citations

Topological Semigroups, Semistandard Mappings, Set-theoretic Topology +2