复扇形指标集上的分布混沌

Abstract

Abstract: We characterize the densely distributional chaos for the translation semigroup, with a sector in the complex plane as index set, defined on a weighted function space. A sufficient condition is given for the translation semigroup to be distributionally chaotic in terms of the the integrability of the admissible weight function, and in terms of the upper density of a subset of the index set. In addition, we study the index set and show that the translation semigroup is also distributionally chaotic on some subsets of the index set.

Key words: Banach space, Distributional chaos, Translation semigroup, Complex sector

CLC Number:

Yao Yuwu, Chen Xiu, Niu Xin. Distributional Chaos on Complex Sectors[J].Acta mathematica scientia,Series A, 2017, 37(5): 950-961.

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References

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Distributional Chaos on Complex Sectors

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