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Sojourn times in small neighborhoods of indifferent fixed points of one-dimensional dynamical systems
| Content Provider | Scilit |
|---|---|
| Author | Inoue, Tomoki |
| Copyright Year | 2000 |
| Description | We study one-dimensional dynamical systems with indifferent fixed points $p$ and $q$. The dynamical systems we study in this paper have ergodic, infinite, invariant measures. We consider the limit of the ratio of the sojourn time of the trajectory in a small neighborhood of $p$ to that in a small neighborhood of $q$. We show that the limit does not exist under some conditions, which has been announced in a previous paper. In fact we prove that the limit supreme of the ratio is $\infty$ and that the limit infimum is 0. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F1170685BD423452AAFAA01290027C89/S0143385700000110a.pdf/div-class-title-sojourn-times-in-small-neighborhoods-of-indifferent-fixed-points-of-one-dimensional-dynamical-systems-div.pdf |
| Ending Page | 257 |
| Page Count | 17 |
| Starting Page | 241 |
| ISSN | 01433857 |
| e-ISSN | 14694417 |
| DOI | 10.1017/s0143385700000110 |
| Journal | Ergodic Theory and Dynamical Systems |
| Issue Number | 1 |
| Volume Number | 20 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2000-02-01 |
| Access Restriction | Open |
| Subject Keyword | Ergodic Theory and Dynamical Systems Fixed Points Indifferent Fixed Small Neighborhood |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
