Dimensions and entropies of strange attractors from a fluctuating dynamics approach

[1]  P. Grassberger.  Generalized dimensions of strange attractors , 1983 .

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

[3]  H. Poincaré,et al.  Les méthodes nouvelles de la mécanique céleste , 1899 .

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

[5]  B. Chirikov.  A universal instability of many-dimensional oscillator systems , 1979 .

[6]  G. Zaslavsky.  The simplest case of a strange attractor , 1978 .

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

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

[9]  L. Young.  Capacity of attractors , 1981, Ergodic Theory and Dynamical Systems.

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

[11]  F. Ledrappier,et al.  Some relations between dimension and Lyapounov exponents , 1981 .

[12]  J. Yorke,et al.  The liapunov dimension of strange attractors , 1983 .

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

[14]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

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

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

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

[18]  D. Ruelle.  Five turbulent problems , 1983 .