| Автор | Góra, P. |
| Автор | Boyarsky, A. |
| Дата выпуска | 1990 |
| dc.description | For the family of transformations τ(r,b,x)=rxe<sup>-bx</sup> which models the Poincaré sections of the Belousov-Zhabotinski reaction we prove that there is an uncountable set A such that for each τξA,τ(r,b,˙) has an absolutely continuous invariant measure. We also approximate the density of this measure and thereby the Lyapunov exponent of τ(r,b,˙) .This is accomplished by proving that τ(r,b,˙) is conjugate, via an absolutely continuous homeomorphism, to a transormation T, where T<sup>x</sup> is piecewise expanding, for some integers |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Absolutely continuous invariant measures for the family of maps x → rxe<sup>-bx</sup> with application to the Belousov-Zhabotinski reaction |
| Тип | research-article |
| DOI | 10.1080/02681119008806086 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 5 |
| Первая страница | 65 |
| Последняя страница | 81 |
| Аффилиация | Góra, P.; Department of Mathematics, Warsaw University |
| Аффилиация | Boyarsky, A.; Department of Mathematics, Concordia University |
| Выпуск | 2 |
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