14 citations · 23 across the 11 of their papers we have counts for
5 papers · 1 filter
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.…
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…
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…
Multibump solutions of a class of second-order discrete Hamiltonian systems
Xu Zhang
For a class of second-order discrete Hamiltonian systems , we investigate the existence of homoclinic orbits by applying variational method, wher…
Hyperbolicity of the invariant sets for the real polynomial maps
Xu Zhang
It is well known that for , the dynamical behaviors of the logistic map on the maximal invariant compact set are "simple" which could be clearly explained by…