Search results for: Lyapunov Exponent

Search results for: Lyapunov Exponent

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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.
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 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 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 cubic map as a function of the parameter
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 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 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 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 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 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 unimodal map with γ=1.5 as a function of the parameter
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 unimodal map with γ=2.5 as a function of the parameter
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.
Dataset of phase portraits of the fractional prey-predator model with Holling type-II interaction (without predator harvesting)
Open Research Data
open access
The need for a fractional generalization of a given classical model is often due to new behaviors which cannot be taken into account by the model. In this situation, it can be useful to look for a fractional deformation of the initial system, trying to fit the fractional exponent of differentiation in order to catch properly the data.

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

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

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

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

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

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

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

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

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

Uniform expansion estimates in the cubic map as a function of the parameter

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

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

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

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

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

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

Uniform expansion estimates in the unimodal map with γ=1.5 as a function of the parameter

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

Uniform expansion estimates in the unimodal map with γ=2.5 as a function of the parameter

Dataset of phase portraits of the fractional prey-predator model with Holling type-II interaction (without predator harvesting)