An obstruction method for the destruction of invariant curves

Handbook of Mathematical Functions

Milton Abramowitz, I. A. Stegun · 1972 · 15.4K citations

Natural Sciences, Mathematics, Differential Equations +10

A universal instability of many-dimensional oscillator systems

B. V. Chirikov · Physics Reports · 1979 · 4.3K citations

Natural Sciences, Physics, Dynamical Systems +13

A method for determining a stochastic transition

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

Natural Sciences, Mathematics, Physics +17

Existence of quasi-periodic orbits for twist homeomorphisms of the annulus

John N. Mather · Topology · 1982 · 519 citations

Natural Sciences, Mathematics, Dynamical Systems +9

Critical behavior of a KAM surface: I. Empirical results

Scott Shenker, Leo P. Kadanoff · Journal of Statistical Physics · 1982 · 238 citations

Natural Sciences, Earth Sciences, Surface Science +5