Abstract
Let Y be a metric space, and let T: Y → Y be a continuous map. It is not in general possible to explicitly compute the iterates T n(x) in order to decide whether the individual orbits converge or diverge.
The source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly great generality is in essence the same as a small and concrete special case.
P. R. Halmos (1916–2006)
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References
Lawden, D.F.: Elliptic Functions and Applications. Applied Mathematical Sciences, vol. 80. Springer, New York (1989)
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Coudène, Y. (2016). Conjugation. In: Ergodic Theory and Dynamical Systems. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-7287-1_7
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DOI: https://doi.org/10.1007/978-1-4471-7287-1_7
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