Rotation number winding complex (1 Ergebnisse)

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsthe rotation number is an invariant of homeomorphisms of the circle. Itwas first defined by Henri Poincaré in 1885, in relation to theprecession of the perihelion of a planetary orbit. Poincaré later proveda theorem characterizing the existence of periodic orbits in terms ofrationality of the rotation number. An important property of therotation number is that it is continuous when viewed as a map from thegroup of homeomorphisms of the circle into the circle. …