Nonlinear analysis of near-wall turbulence time series

Detecting strange attractors in turbulence

1981 • 9,723 citations

A First Course in Turbulence

1972 • 8,015 citations

Pattern formation outside of equilibrium

1993 • 7,386 citations

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

1997 • 5,323 citations

Characterization of Strange Attractors

1983 • 4,655 citations

Geometry from a Time Series

1980 • 3,770 citations

The Statistical Description of Turbulence

1972 • 3,174 citations

Turbulent Transport of Momentum and Heat

1972 • 3,174 citations

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

1988 • 2,521 citations

Coherent Motions in the Turbulent Boundary Layer

1991 • 2,373 citations

Predicting chaotic time series

1987 • 1,928 citations

Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series

1990 • 1,839 citations

The analysis of observed chaotic data in physical systems

1993 • 1,801 citations

Nonlinear prediction of chaotic time series

1989 • 1,342 citations

The dynamics of coherent structures in the wall region of a turbulent boundary layer

1988 • 1,222 citations

The minimal flow unit in near-wall turbulence

1991 • 1,007 citations

Spurious dimension from correlation algorithms applied to limited time-series data

1986 • 967 citations

Regeneration mechanisms of near-wall turbulence structures

1995 • 898 citations

Order within chaos

1986 • 662 citations

Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems

1992 • 651 citations

State space reconstruction in the presence of noise

1991 • 553 citations

NONLINEAR TIME SEQUENCE ANALYSIS

1991 • 523 citations

Exponential Attractors for Dissipative Evolution Equations

1995 • 457 citations

Chaos: From Theory to Applications

1994 • 351 citations

On noise reduction methods for chaotic data

1993 • 275 citations

Exploiting Chaos to Predict the Future and Reduce Noise

1989 • 274 citations

Filtered noise can mimic low-dimensional chaotic attractors

1993 • 244 citations

Nonlinear Phenomena at Phase Transitions and Instabilities

1982 • 241 citations

Timescale and structure of ejections and bursts in turbulent channel flows

1987 • 240 citations

Strange attractors in weakly turbulent Couette-Taylor flow

1987 • 224 citations

Dimension increase in filtered chaotic signals

1988 • 218 citations

Determining modes and fractal dimension of turbulent flows

1985 • 206 citations

LDA measurements in the near-wall region of a turbulent pipe flow

1995 • 205 citations

From theory to applications

1986 • 203 citations

An optimized box-assisted algorithm for fractal dimensions

1990 • 199 citations

Nonlinear analysis of river flow time sequences

1997 • 186 citations

Correlation dimension and systematic geometric effects

1990 • 185 citations

Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and local dynamical behavior of strange attractors

1992 • 164 citations

Autogeneration of near-wall vortical structures in channel flow

1996 • 158 citations

Evolution, Learning and Cognition

1989 • 155 citations

Coherent structures and chaos: A model problem

1987 • 144 citations

A simple noise-reduction method for real data

1991 • 138 citations

The dimension of attractors underlying periodic turbulent Poiseuille flow

1992 • 121 citations

Interactive control of turbulent boundary layers - A futuristic overview

1994 • 113 citations

Comparison of algorithms calculating optimal embedding parameters for delay time coordinates

1992 • 105 citations

Bifurcation phenomena in Taylor-Couette flow in a very short annulus

1988 • 90 citations

Mode interaction models for near-wall turbulence

1993 • 74 citations

Optimal Reconstruction of Strange Attractors from Purely Geometrical Arguments

1990 • 66 citations

Coherence and chaos in a model of turbulent boundary layer

1992 • 64 citations

An experimental observation of chaos arising from the interaction of steady and time-dependent flows

1989 • 62 citations

Turbulent transport and the random occurence of coherent events

1988 • 61 citations

A Rayleigh Bénard Experiment: Helium in a Small Box

1982 • 61 citations

The onset and spatial development of turbulence in flow systems

1988 • 45 citations

Transition from order to chaos in the wake of an airfoil

1990 • 41 citations

Can dynamical systems approach turbulence?

2008 • 33 citations

Lyapunov exponents and the dimension of periodic incompressible Navier—Stokes flows: numerical measurements

1991 • 31 citations

Dynamical model of wall-bounded turbulence

1994 • 29 citations

ON THE HYPOTHESIS OF SELF-SIMILARITY FOR THE VELOCITY DISTRIBUTION IN TURBULENT FLOWS

1994 • 27 citations

Transition intermittency in open flows, and intermittency routes to chaos

1986 • 22 citations

Reply to ‘‘Observations regarding ‘Coherence and chaos in a model of turbulent boundary layer’ by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]’’

1994 • 21 citations

The nonlinear phase of wave growth leading to chaos and breakdown to turbulence in a boundary layer as an example of an open system

1990 • 19 citations

Searching for determinism in observed data: a review of the issues involved

1994 • 18 citations

Chaotic dynamics in a periodically excited air jet

1985 • 15 citations

Experiments on the attractor-dimension for turbulent pipe flow

1987 • 14 citations

A dynamical systems approach to the early stages of boundary-layer transition

1993 • 14 citations

Characterizing Turbulent Channel Flow

1986 • 12 citations

On the transition to turbulence in pipe flow

1989 • 12 citations

Observations regarding ‘‘Coherence and chaos in a model of turbulent boundary layer’’ by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]

1994 • 10 citations

Exponential Attractors for Dissipative Evolution Equations (A. Eden, C. Foias, B. Nicolaenko, and R. Témam)

1996 • 5 citations

From Chaos to Turbulence in Fluid Dynamics

1991 • 3 citations

ANALYSIS OF RANDOMLY SAMPLED DATA USING FUZZY AND NONLINEAR TECHNIQUES

1996 • 2 citations

Time series analysis of physical systems possessing homoclinicity

1995 • 2 citations

Time series analysis of physical systems possessing homoclinicity

1995 • 2 citations

AUTOCORRELATION AND RELATED QUANTITIES OF THE LONGITUDINAL TURBULENCE VELOCITY COMPONENT. AN EXPERIMENTAL INVESTIGATION IN A WATER FLOW IN A SMOOTH PIPE

1994 • 1 citations

Deleted Work

1955 • 0 citations