Old and new results on
strange non-chaotic attracttors
with Àngel Jorba, Rafael Obaya
and Joan Carles Tatjer,
Int. J.
Bifurcat. Chaos 17
(11) (2007), 3895-3928..
Classical and new results
concerning the topological structure of skew-products
semiflows, coming from non-autonomous maps and differential equations,
are combined in order to establish rigorous conditions giving rise to
the
occurrence of strange nonchaotic attractors. A special attention is
paid to
the relation of these sets with the almost automorphic extensions of
the base
flow. The scope of the results is clarified by applying them to the
Harper map,
although they are valid in a much wider context.
