periodic point
Let be a function and its -th iteration. A point is called a periodic point of period of if it is a fixed point of . The least for which is a fixed point of is called prime period or least period.
If is a function to or to then a periodic point of prime period is called hyperbolic if , attractive if and repelling if .
Title | periodic point |
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Canonical name | PeriodicPoint |
Date of creation | 2013-03-22 12:43:38 |
Last modified on | 2013-03-22 12:43:38 |
Owner | mathwizard (128) |
Last modified by | mathwizard (128) |
Numerical id | 14 |
Author | mathwizard (128) |
Entry type | Definition |
Classification | msc 26A18 |
Defines | hyperbolic periodic point |
Defines | attractive periodic point |
Defines | repelling periodic point |
Defines | least period |
Defines | prime period |