关于C0-典型冲击半流的周期轨道

Invariant probability measures and non-wandering sets for impulsive semiflows

We consider impulsive dynamical systems defined on compact metric spaces and their respective impulsive semiflows. We establish sufficient conditions for the existence of probability measures which are invariant by such impulsive semiflows. We also deduce the forward invariance of their non-wandering sets except the discontinuity points.

Equilibrium states for impulsive semiflows

We consider impulsive semiflows defined on compact metric spaces and give sufficient conditions, both on the semiflows and the potentials, for the existence and uniqueness of equilibrium states. We also generalize the classical notion of topological pressure to our setting of discontinuous semiflows and prove a variational principle.

A variational principle for impulsive semiflows

We consider impulsive semiflows defined on compact metric spaces and deduce a variational principle. In particular, we generalize the classical notion of topological entropy to our setting of discontinuous semiflows.

关于脉冲半流的遍历理论

On the ergodic theory of impulsive semiflows

本文研究脉冲半流，给出不变测度存在的充分条件，并证明在相同条件下变分原理成立。

Topological entropy and metric entropy for regular impulsive semiflows

In arXiv:1801.01238 a variation of Bowen's topological entropy that can be applied to the study of discontinuous semiflows on compact metric spaces was introduced. The main novetly is the use of certain family of pseudosemimetrics associated to the semiflow, in a such a way that in the continuous case they coincide with the classical Bowen's entropies. It was proved that regular impulsive semiflow can be semiconjugated by uniformly continuous bijection to certain continuous semiflow defined in a compact metric space. In the cited paper, the entropy is defined by the growth rate of separated se…

典型脉冲流的周期轨道丰富性

Abundance of periodic orbits for typical impulsive flows

本文证明 C1-Baire 通有脉冲生成的脉冲半流中双曲周期轨道在相关非游荡点集中稠密，并由此得到非游荡集不变的充分条件及多类流的应用。