Fixed Winding Number and the Quasiperiodic Route to Chaos in a Convective Fluid

Quantitative universality for a class of nonlinear transformations

1978 • 3,457 citations

The universal metric properties of nonlinear transformations

1979 • 1,381 citations

Non-linear properties of thermal convection

1978 • 930 citations

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

1984 • 412 citations

Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study

1982 • 409 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

Nonlinear Phenomena in Chemical Dynamics

1981 • 221 citations

Fine Structure of Phase Locking

1982 • 214 citations

Pattern Selection in Rayleigh-Bénard Convection near Threshold

1981 • 207 citations

Period doubling cascade in mercury, a quantitative measurement

1982 • 155 citations

Renormalization, unstable manifolds, and the fractal structure of mode locking

1985 • 121 citations

Scaling at the Transition from Quasiperiodicity to Chaos in a Hydrodynamic System

1985 • 62 citations

Transition from quasiperiodicity to chaos: A perturbative renormalization-group approach

1984 • 17 citations