Empirical generating partitions of driven oscillators using optimized symbolic shadowing

[1]  P. Grassberger,et al.  Generating partitions for the dissipative Hénon map , 1985 .

[2]  Kazuyuki Aihara,et al.  Estimating optimal partitions for stochastic complex systems , 2013 .

[3]  Y. Lai,et al.  What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series , 2001 .

[4]  A. Politi,et al.  HOMOCLINIC TANGENCIES, GENERATING PARTITIONS AND CURVATURE OF INVARIANT MANIFOLDS , 1991 .

[5]  A. Politi,et al.  Generating partitions in Hénon-type maps , 1992 .

[6]  C. Finney,et al.  A review of symbolic analysis of experimental data , 2003 .

[7]  R. Holzner,et al.  Progress in the analysis of experimental chaos through periodic orbits , 1994 .

[8]  Lai,et al.  Estimating generating partitions of chaotic systems by unstable periodic orbits , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Solari,et al.  Organization of periodic orbits in the driven Duffing oscillator. , 1988, Physical review. A, General physics.

[10]  Matthew B Kennel,et al.  Estimating good discrete partitions from observed data: symbolic false nearest neighbors. , 2003, Physical review letters.

[11]  J. Ziv,et al.  On the optimal asymptotic performance of universal ordering and of discrimination of individual sequences , 1992, IEEE Trans. Inf. Theory.

[12]  Lai,et al.  Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series , 2000, Physical review letters.

[13]  Marc Lefranc,et al.  From template analysis to generating partitions I: periodic orbits, knots and symbolic encodings , 1999, chao-dyn/9907029.

[14]  Abraham Lempel,et al.  On the Complexity of Finite Sequences , 1976, IEEE Trans. Inf. Theory.

[15]  N. Packard,et al.  Symbolic dynamics of noisy chaos , 1983 .

[16]  K. Judd,et al.  Estimating a generating partition from observed time series: symbolic shadowing. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Matthew B Kennel,et al.  Statistically relaxing to generating partitions for observed time-series data. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Schuster,et al.  Easily calculable measure for the complexity of spatiotemporal patterns. , 1987, Physical review. A, General physics.

[19]  Abraham Lempel,et al.  Compression of individual sequences via variable-rate coding , 1978, IEEE Trans. Inf. Theory.

[20]  D. Ruelle,et al.  Ergodic theory of chaos and strange attractors , 1985 .

[21]  B. Weiss,et al.  Generating partitions for random transformations , 2002, Ergodic Theory and Dynamical Systems.

[22]  Alan H. Karp,et al.  A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides , 1990, TOMS.

[23]  H. Kantz,et al.  LETTER TO THE EDITOR: Structure of generating partitions for two-dimensional maps , 1997 .

[24]  Robert Shaw Strange Attractors, Chaotic Behavior, and Information Flow , 1981 .

[25]  Marc Lefranc,et al.  From template analysis to generating partitions II: characterization of the symbolic encodings , 1999, chao-dyn/9907030.