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Analysis of the chaotic maps generating different statistical distributions
| Content Provider | Scilit |
|---|---|
| Author | Lawnik, Marcin |
| Copyright Year | 2015 |
| Description | Journal: Journal of Physics: Conference Series The analysis of the chaotic maps, enabling the derivation of numbers from given statistical distributions was presented. The analyzed chaotic maps are in the form $x_{k+1}$ = F^{−1}$(U(F(x_{k}$))), where F is the cumulative distribution function, U is the skew tent map and $F^{-1}$ is the inverse function of F. The analysis was presented on the example of chaotic map with the standard normal distribution in view of his computational efficiency and accuracy. On the grounds of the conducted analysis, it should be indicated that the method not always allows to generate the values from the given distribution. |
| Related Links | http://iopscience.iop.org/article/10.1088/1742-6596/633/1/012086/pdf |
| ISSN | 17426588 |
| e-ISSN | 17426596 |
| DOI | 10.1088/1742-6596/633/1/012086 |
| Journal | Journal of Physics: Conference Series |
| Issue Number | 1 |
| Volume Number | 633 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2015-09-21 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics: Conference Series Statistical Distributions Chaotic Maps |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |