Transition to chaos by interaction of resonances in dissipative systems. I. Circle maps

A universal instability of many-dimensional oscillator systems

1979 • 4,087 citations

Quantitative universality for a class of nonlinear transformations

1978 • 3,457 citations

Geometrical Methods in the Theory of Ordinary Differential Equations

1983 • 1,543 citations

The universal metric properties of nonlinear transformations

1979 • 1,381 citations

Solitons and Condensed Matter Physics

1978 • 714 citations

Ising model with solitons, phasons, and "the devil's staircase"

1980 • 594 citations

One-Dimensional Ising Model and the Complete Devil's Staircase

1982 • 413 citations

Complete Devil's Staircase, Fractal Dimension, and Universality of Mode- Locking Structure in the Circle Map

1983 • 326 citations

Universal Transition from Quasiperiodicity to Chaos in Dissipative Systems

1982 • 262 citations

Fine Structure of Phase Locking

1982 • 214 citations

Shunted-Josephson-junction model. II. The nonautonomous case

1977 • 138 citations

Mean-field theory of the three-dimensional anisotropic Ising model as a four-dimensional mapping

1983 • 116 citations

On the Period-Adding Phenomena at the Frequency Locking in a One-Dimensional Mapping

1982 • 86 citations

Similarity Structure and Scaling Property of the Period-Adding Phenomena

1983 • 63 citations

Self-similarity and fractal dimension of the devil's staircase in the one-dimensional Ising model

1983 • 54 citations