Search results for: quadratic map

• Uniform expansion estimates in the quadratic map as a function of the critical neighborhood size

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a large range of parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a small critical neighborhood

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a very small critical neighborhood

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using Johnson’s algorithm

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, computing λ only

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “uniform” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “critical” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “derivative” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using the “derivative” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using the “critical” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using the Floyd–Warshall algorithm

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ0 is positive

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ is positive

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ0 is greater than 0.1

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ is greater than 0.1

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Stochastic intervals for the family of quadratic maps

  Open Research Data

  open access

  • P. Pilarczyk
  • G. Graff

  Numerical analysis of chaotic dynamics is a challenging task. The one-parameter families of logistic maps and closely related quadratic maps f_a(x)=a-x^2 are well-known examples of such dynamical systems. Determining parameter values that yield stochastic-like dynamics is especially difficult, because although this set has positive Lebesgue measure,...

• A collection of directed graphs for the minimum cycle mean weight computation

  Open Research Data

  open access

  • P. Pilarczyk
  • G. Graff

  This dataset contains definitions of the 16 directed graphs with weighted edges that were described in the following paper: Paweł Pilarczyk, A space-efficient algorithm for computing the minimum cycle mean in a directed graph, Journal of Mathematics and Computer Science, 20 (2020), no. 4, 349--355, DOI: 10.22436/jmcs.020.04.08, URL: http://dx.doi.org/10.22436/jmcs.020.04.08   These...