Article
Article
Topological dynamics
Article By:
Veech, William A. Department of Mathematics, Rice University, Houston, Texas.
Last reviewed:January 2021
DOI:https://doi.org/10.1036/1097-8542.701000
The study and application of topological transformation groups. Topological dynamics originated in the late-nineteenth-century investigations of the qualitative behavior of the solutions to the differential equations of classical mechanics by Henri Poincaré. The emergence of topological dynamics as a mathematical discipline occurred in the twentieth century with an abstract formulation of certain qualitative features of the classical systems by G. D. Birkhoff.
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