RT Journal Article
T1 Chaos on function spaces
A1 Aron, Richard M.
A1 Seoane-Sepúlveda, Juan B.
A1 Weber, Andreas
AB We give a sufficient condition for an operator to be chaotic and we use this condition to show that, in the Banach space C-0[0, infinity) the operator (T(lambda,c)f) (t) = lambda f (t + c) (with lambda > 1 and c > 0) is chaotic, with every n is an element of N being a period for this operator. We also describe a technique to construct, explicitly, hypercyclic functions for this operator.
PB Cambridge University Press
SN 0004-9727
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50497
UL https://hdl.handle.net/20.500.14352/50497
LA eng
NO J. Banks, J. Brooks, G. Cairns, G. Davies, and P.Stacey, 'On Devaney's definition of chaos', Amer. Math. Monthly 99 (1992), 332-334.R..L. Devaney, An introduction to chaotic dynamical systems, (Second Edition) (Addison-Wesley Publishing Company Inc., 1989).W. Desch, W. Schappacher, and G.F. Webb, 'Hypercyclic and chaotic semigroups of linear operators', Ergodic Theory Dynamical Systems 17 (1997), 793-819.K.-G. Grosse-Erdmann, 'Universal families and hypercyclic operators', Bui Amer. Math.Soc. 36 (1999), 345-381.C. Kitai, Invariant closed sets for linear operators,(Ph.D. Thesis) (University of Toronto,Toronto, Canada, 1982).A. Weber, Chaotic semigroups, (Diplomarbeit, in German)(Universitat Karlsruhe, 2002).
DS Docta Complutense
RD 29 abr 2024