Characterization of hydrodynamic strange attractors

[1]  F. Takens,et al.  On the nature of turbulence , 1971 .

[2]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[3]  H. Swinney,et al.  Hydrodynamic instabilities and the transition to turbulence , 1978 .

[4]  Uriel Frisch,et al.  A simple dynamical model of intermittent fully developed turbulence , 1978, Journal of Fluid Mechanics.

[5]  Anil K. Jain,et al.  An Intrinsic Dimensionality Estimator from Near-Neighbor Information , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  James P. Crutchfield,et al.  Geometry from a Time Series , 1980 .

[7]  J. Gollub,et al.  Many routes to turbulent convection , 1980, Journal of Fluid Mechanics.

[8]  F. Takens Detecting strange attractors in turbulence , 1981 .

[9]  J. Yorke,et al.  Chaotic behavior and fluid dynamics , 1981 .

[10]  O. Lanford Strange attractors and turbulence , 1981 .

[11]  J. D. Farmer,et al.  Chaotic attractors of an infinite-dimensional dynamical system , 1982 .

[12]  P. Bergé,et al.  Study of non steady convective regimes using Poincaré sections , 1982 .

[13]  A. Wolf,et al.  Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractors , 1982 .

[14]  P Bergé Study of the Phase Space Diagrams Through Experimental Poincaré Sections in Prechaotic and Chaotic Regimes , 1982 .

[15]  L. Young Dimension, entropy and Lyapunov exponents , 1982, Ergodic Theory and Dynamical Systems.

[16]  J. D. Farmer,et al.  A PHASE SPACE ANALYSIS OF BAROCLINIC FLOW , 1982 .

[17]  M. Gorman,et al.  Spatial and temporal characteristics of modulated waves in the circular Couette system , 1982, Journal of Fluid Mechanics.

[18]  J. Yorke,et al.  Dimension of chaotic attractors , 1982 .

[19]  John Guckenheimer,et al.  Dimension measurements for geostrophic turbulence , 1983 .

[20]  H. Swinney,et al.  Observation of a strange attractor , 1983 .

[21]  James P. Crutchfield,et al.  Low-dimensional chaos in a hydrodynamic system , 1983 .

[22]  M. Dubois,et al.  Dimension of strange attractors : an experimental determination for the chaotic regime of two convective systems , 1983 .

[23]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[24]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .

[25]  P. Grassberger,et al.  Estimation of the Kolmogorov entropy from a chaotic signal , 1983 .

[26]  S. Ciliberto,et al.  Pattern Competition Leads to Chaos , 1984 .

[27]  Steven A. Orszag,et al.  Order and disorder in two- and three-dimensional Bénard convection , 1984, Journal of Fluid Mechanics.

[28]  Philip S. Marcus,et al.  Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling wave , 1984, Journal of Fluid Mechanics.

[29]  Harry L. Swinney,et al.  Distinguishing Low-Dimensional Chaos from Random Noise in a Hydrodynamic Experiment , 1984 .

[30]  Progress in Computing Lyapunov Exponents from Experimental Data , 1984 .

[31]  Werner Horsthemke,et al.  Fluctuations and sensitivity in nonequilibrium systems , 1984 .

[32]  A. Wolf,et al.  A strange attractor in a Couette-Taylor experiment. , 1984 .

[33]  P. Bergé,et al.  L'ordre dans le chaos. , 1984 .

[34]  Philip S. Marcus,et al.  Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment , 1984, Journal of Fluid Mechanics.

[35]  Itamar Procaccia,et al.  The Static and Dynamic Invariants that Characterize Chaos and the Relations Between Them in Theory and Experiments , 1985 .

[36]  Katepalli R. Sreenivasan,et al.  Transition and Turbulence in Fluid Flows and Low-Dimensional Chaos , 1985 .

[37]  S. Ciliberto,et al.  Chaotic mode competition in parametrically forced surface waves , 1985, Journal of Fluid Mechanics.

[38]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[39]  U. Frisch Fully Developed Turbulence: Where Do We Stand? , 1986 .

[40]  秦 浩起,et al.  Characterization of Strange Attractor (カオスとその周辺(基研長期研究会報告)) , 1987 .

[41]  M. K. Ali,et al.  An efficient algorithm for estimating dimensionalities , 1988 .