Articoli correlati a Rotation Number: Winding Number, Complex Analysis,...

Rotation Number: Winding Number, Complex Analysis, Circle, Precession, Perihelion, Planetary Orbit - Brossura

 
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Sinossi

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the rotation number is an invariant of homeomorphisms of the circle. It was first defined by Henri Poincaré in 1885, in relation to the precession of the perihelion of a planetary orbit. Poincaré later proved a theorem characterizing the existence of periodic orbits in terms of rationality of the rotation number. An important property of the rotation number is that it is continuous when viewed as a map from the group of homeomorphisms of the circle into the circle.

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