Polynomial differential equations compute all real computable functions on computable compact intervals. Bournez, O., Campagnolo, M. L., Graça, D., & S. Hainry, E. 23(3):317–335, 2007.
Polynomial differential equations compute all real computable functions on computable compact intervals [link]Paper  bibtex   
@ARTICLE{BCGH07,
  author = {Bournez, Olivier and Campagnolo, Manuel L. and Gra{\c{c}}a, Daniel
	and S. Hainry, Emmanuel},
  title = {Polynomial differential equations compute all real computable functions
	on computable compact intervals},
  journal = JC,
  year = {2007},
  volume = {23},
  pages = {317--335},
  number = {3},
  file = {BCGH07.pdf:BCGH07.pdf:PDF;BCGH07.pdf:files\\BCGH07.pdf:PDF},
  keywords = {bib,cca},
  url = {http://dx.doi.org/10.1016/j.jco.2006.12.005}
}

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