Twist orbits for non continuous maps of degree one

Publisher: Cambridge University Press

E-ISSN: 1755-1633|47|3|415-426

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.47, Iss.3, 1993-06, pp. : 415-426

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Abstract

The existence of twist orbits and twist cycles with a given rotation number is considered for discrete dynamical systems generated by iteration of liftings of maps of the circle into itself. The class of maps for which such orbits exist for every number in the interior of the rotation set is extended to contain an important subclass of non-continuous maps.