Arithmetic and growth of periodic orbits
| dc.creator | Puri, Yash | |
| dc.creator | Ward, Thomas | |
| dc.date | 1999-07-01 | |
| dc.date | 2001-04-26 | |
| dc.date.accessioned | 2026-07-07T05:29:44Z | |
| dc.date.available | 2026-07-07T05:29:44Z | |
| dc.description | We give necessary and sufficient conditions for a sequence to be exactly realizable as the sequence of numbers of periodic points in a dynamical system. Using these conditions, we show that no non-constant polynomial is realizable, and give some conditions on realizable binary recurrence sequences. Realization in rate is always possible for sufficiently rapidly-growing sequences, and is never possible for slowly-growing sequences. Finally, we discuss the relationship between the growth rate of periodic points and the growth rate of points with specified least period. | |
| dc.description | Revised version with new content; to appear in J.Integer Sequences | |
| dc.identifier | https://arxiv.org/abs/math/9907003 | |
| dc.identifier | http://arxiv.org/abs/math/9907003 | |
| dc.identifier | Journal of Integer Sequences, 4:Article 01.2.1, 2001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78757 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.subject | 54H20; 58F20 | |
| dc.title | Arithmetic and growth of periodic orbits | |
| dc.type | text |