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### Open Access Journals

PROC

We characterize chaos for the translation semigroup, with a sector in the complex plane as index set, defined on a weighted function space. The results are stated in terms of the integrability of the weight function, and in terms of the existence of periodic points. We generalize previous results of
[8, 15]. Some examples are also provided to complete the study.

keywords:
Chaotic semigroups of operators.

DCDS

We study the hypercyclic behaviour of sequences of operators in
a $C_0$-semigroup whose index set is a sector in the complex plane.
The hypercyclicity and chaos for the concrete case of the translation semigroup is analyzed.
Some examples are provided to complete the results.

## Year of publication

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