Mode-locking and chaos in Rayleigh-Bénard convection

Geometry from a Time Series

1980 • 3,770 citations

Many routes to turbulent convection

1980 • 644 citations

Fluctuations and simple chaotic dynamics

1982 • 480 citations

Dimensions and Entropies in Chaotic Systems

1986 • 468 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

Universality in Chaos

1989 • 325 citations

Transition to Chaotic Behavior via a Reproducible Sequence of Period-Doubling Bifurcations

1981 • 191 citations

Experimental Evidence of Intermittencies Associated with a Subharmonic Bifurcation

1983 • 183 citations

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

1985 • 168 citations

Observation of chaotic dynamics of coupled nonlinear oscillators

1985 • 163 citations

Period doubling cascade in mercury, a quantitative measurement

1982 • 155 citations

Pattern Formation by Dynamic Systems and Pattern Recognition

1979 • 146 citations

Effect of the Prandtl number on the onset of turbulence in liquid 4He

1980 • 141 citations

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

1985 • 121 citations

Scaling Laws for Mode Lockings in Circle Maps

1985 • 102 citations

Solitons and the commensurate-incommensurate transition in a convecting nematic fluid

1985 • 95 citations

Mode-Locking and the Transition to Chaos in Dissipative Systems

1985 • 86 citations

Generic behavior of coupled oscillators

1984 • 75 citations

Oscillatory convection in a dilute3He-superfluid4He solution

1985 • 65 citations

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

1985 • 62 citations

Crises and Hysteresis in Coupled Logistic Maps

1984 • 43 citations

Experimental evidence for the oscillators in a convective biperiodic regime

1980 • 38 citations

Fractalization of Torus

1984 • 35 citations

Onset of convection in dilute superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml…

1982 • 26 citations

Simple differential thermometer for low temperatures using a thermocouple with a SQUID detector

1983 • 25 citations

Transition to chaos for two-frequency systems

1984 • 25 citations

Critical Dynamics near the Oscillatory Instability in Rayleigh-Bénard Convection

1984 • 19 citations

Transition to Oscillatory Convection in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>—Superfluid-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</…

1985 • 18 citations

Critical dynamics at a Hopf bifurcation to oscillatory Rayleigh-Bénard convection

1986 • 18 citations

Study of the Phase Space Diagrams Through Experimental Poincaré Sections in Prechaotic and Chaotic Regimes

1982 • 16 citations

Noise-Induced Intermittency in a Convecting Dilute Solution of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>in Superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi …

1984 • 14 citations

Onset of convection in dilute superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml…

1982 • 11 citations

Spatial Chaos

1985 • 11 citations

Comment on "Generic behavior of coupled oscillators"

1984 • 6 citations