14 citations · 23 across the 11 of their papers we have counts for
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math.DS2019★ 1 cited
A generalized family of transcendental functions with one dimensional Julia sets
Xu Zhang
A generalized family of transcendental (non-polynomial entire) functions is constructed, where the Hausdorff dimension and the packing dimension of the Julia sets are equal to one.…
math.DS2019
A geometric criterion for the existence of chaos based on periodic orbits in continuous-time autonomous systems
Xu Zhang, Guanrong Chen
A new geometric criterion is derived for the existence of chaos in continuous-time autonomous systems in three-dimensional Euclidean spaces, where a type of Smale horseshoe in a su…
math.DS2019
Relationship among several types of sensitivity in general semi-flows
Xinxing Wu, Xu Zhang
In this paper, we show that there exists a monoid, on which neither the syndetic property nor the dual syndetic property holds, and there exists a strongly mixing semi-flow with th…