Chaotic attractors of an infinite-dimensional dynamical system

[1]  D. Ruelle,et al.  The ergodic theory of AxiomA flows , 1975 .

[2]  H. Swinney,et al.  Onset of Turbulence in a Rotating Fluid , 1975 .

[3]  G. Benettin,et al.  Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory , 1980 .

[4]  Robert M. May,et al.  NONLINEAR PHENOMENA IN ECOLOGY AND EPIDEMIOLOGY * , 1980 .

[5]  D. Ruelle,et al.  The Ergodic Theory of Axiom A Flows. , 1975 .

[6]  E. Ott,et al.  Dimension of Strange Attractors , 1980 .

[7]  N. Packard,et al.  POWER SPECTRA AND MIXING PROPERTIES OF STRANGE ATTRACTORS , 1980 .

[8]  V. I. Oseledec.  A multiplicative ergodic theorem: Lyapunov characteristic num-bers for dynamical systems , 1968 .

[9]  G. Benettin,et al.  Kolmogorov Entropy and Numerical Experiments , 1976 .

[10]  N. Packard,et al.  Power spectral analysis of a dynamical system , 1980 .

[11]  David Ruelle,et al.  What Are the Measure Describing Turbulence , 1978 .

[12]  J. Doyne Farmer,et al.  Spectral Broadening of Period-Doubling Bifurcation Sequences , 1981 .

[13]  R. Behringer,et al.  Evolution of Turbulence from the Rayleigh-Bénard Instability , 1978 .

[14]  I. Shimada,et al.  A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems , 1979 .

[15]  J. Mallet-Paret.  Negatively invariant sets of compact maps and an extension of a theorem of Cartwright , 1976 .

[16]  Nobuhiko Saitô,et al.  Time delays and chaos in two competing species , 1980 .

[17]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[18]  V. I. Arnolʹd,et al.  Ergodic problems of classical mechanics , 1968 .

[19]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[20]  H. Peitgen,et al.  Functional Differential Equations and Approximation of Fixed Points , 1979 .

[21]  Reemergent Order of Chaotic Circular Couette Flow , 1979 .

[22]  H. Swinney,et al.  Dynamical instabilities and the transition to chaotic Taylor vortex flow , 1979, Journal of Fluid Mechanics.

[23]  Antonio Giorgilli,et al.  On the reliability of numerical studies of stochasticity I: Existence of time averages , 1978 .

[24]  Y. Sinai.  GIBBS MEASURES IN ERGODIC THEORY , 1972 .

[25]  M. Hénon,et al.  A two-dimensional mapping with a strange attractor , 1976 .

[26]  P. Billingsley,et al.  Ergodic theory and information , 1966 .

[27]  M. Feigenbaum.  Quantitative universality for a class of nonlinear transformations , 1978 .

[28]  R. Temam,et al.  Structure of the set of stationary solutions of the navier-stokes equations , 1977 .

[29]  Sheldon Goldstein,et al.  Entropy increase in dynamical systems , 1981 .

[30]  L. Glass,et al.  Oscillation and chaos in physiological control systems. , 1977, Science.

[31]  J. D. Farmer,et al.  Information Dimension and the Probabilistic Structure of Chaos , 1982 .

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

[33]  O. Ladyzhenskaya,et al.  A dynamical system generated by the Navier-Stokes equations , 1975 .

[34]  E. Lorenz.  NOISY PERIODICITY AND REVERSE BIFURCATION * , 1980 .