# American Institute of Mathematical Sciences

January  2016, 3(1): 81-91. doi: 10.3934/jcd.2016004

## Rigorous enclosures of rotation numbers by interval methods

 1 Box 480, SE-75106, Uppsala, Sweden

Received  September 2015 Revised  March 2016 Published  September 2016

We apply set-valued numerical methods to compute an accurate enclosure of the rotation number. The described algorithm is supplemented with a method of proving the existence of periodic points, which is used to check the rationality of the rotation number. A few numerical experiments are presented to show that the implementation of interval methods produces a good enclosure of the rotation number of a circle map.
Citation: Anna Belova. Rigorous enclosures of rotation numbers by interval methods. Journal of Computational Dynamics, 2016, 3 (1) : 81-91. doi: 10.3934/jcd.2016004
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