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Twist orbits for non continuous maps of degree one

Published online by Cambridge University Press:  17 April 2009

Francisco Esquembre
Francisco Esquembre
Affiliation:
Department of Mathematics, University of Murcia, 30071 Murcia, Spain
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 3 , June 1993 , pp. 415 - 426
Copyright
Copyright © Australian Mathematical Society 1993

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