Simple view
Full metadata view
Authors
Statistics
Influence of the finite precision on the simulations of discrete dynamical systems
simulations of discrete dynamical systems
numerical precision
noisy dynamical systems
The effect of numerical precision on the mean distance and on the mean coalescence time between trajectories of two random maps was investigated. It was shown that mean coalescence time between trajectories can be used to characterize regions of the phase space of the maps. The mean coalescence time between trajectories scales as a power law as a function of the numerical precision of the calculations in the contracting and transitions regions of the maps. In the contracting regions the exponent of the power law is approximately one for both maps and it is approximately two in the transition regions for both maps. In the chaotic regions, the mean coalescence time between trajectories scales as an exponential law as a function of the numerical precision of the calculations for the maps. For both maps the exponents are of the same order of magnitude in the chaotic regions.
| cris.lastimport.scopus | 2024-04-07T15:11:06Z | |
| dc.abstract.en | The effect of numerical precision on the mean distance and on the mean coalescence time between trajectories of two random maps was investigated. It was shown that mean coalescence time between trajectories can be used to characterize regions of the phase space of the maps. The mean coalescence time between trajectories scales as a power law as a function of the numerical precision of the calculations in the contracting and transitions regions of the maps. In the contracting regions the exponent of the power law is approximately one for both maps and it is approximately two in the transition regions for both maps. In the chaotic regions, the mean coalescence time between trajectories scales as an exponential law as a function of the numerical precision of the calculations for the maps. For both maps the exponents are of the same order of magnitude in the chaotic regions. | pl |
| dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
| dc.contributor.author | Dias, S. P. | pl |
| dc.contributor.author | Longa, Lech - 100154 | pl |
| dc.contributor.author | Curado, E. | pl |
| dc.date.accessioned | 2016-07-09T08:29:38Z | |
| dc.date.available | 2016-07-09T08:29:38Z | |
| dc.date.issued | 2011 | pl |
| dc.description.number | 3 | pl |
| dc.description.physical | 1574-1579 | pl |
| dc.description.publication | 0,3 | pl |
| dc.description.volume | 16 | pl |
| dc.identifier.doi | 10.1016/j.cnsns.2010.07.003 | pl |
| dc.identifier.eissn | 1878-7274 | pl |
| dc.identifier.issn | 1007-5704 | pl |
| dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/28883 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Dodaję tylko opis bibliograficzny | * |
| dc.rights.licence | bez licencji | |
| dc.rights.uri | * | |
| dc.subject.en | simulations of discrete dynamical systems | pl |
| dc.subject.en | numerical precision | pl |
| dc.subject.en | noisy dynamical systems | pl |
| dc.subtype | Article | pl |
| dc.title | Influence of the finite precision on the simulations of discrete dynamical systems | pl |
| dc.title.journal | Communications in Nonlinear Science and Numerical Simulation | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |