论文标题
不连续半流的拓扑压力和冲动动力学系统的变异原理
Topological pressure for discontinuous semiflows and a variational principle for impulsive dynamical systems
论文作者
论文摘要
我们介绍了四个，先验的，拓扑压力的先验概念，可能是在紧凑的度量空间上作用的不连续的半流，并观察到，当限制在连续设置的情况下，它们都与经典的半动物一致。此外，对于是不连续系统的示例的一类\ emph {脉冲semiflows}，我们证明了一个变异原理。结果，我们得出的结论是，对于这类系统，四个概念重合，而且它们还与\ cite {acs17}中引入的拓扑压力的概念相吻合。
We introduce four, a priori different, notions of topological pressure for possibly discontinuous semiflows acting on compact metric spaces and observe that they all agree with the classical one when restricted to the continuous setting. Moreover, for a class of \emph{impulsive semiflows}, which are examples of discontinuous systems, we prove a variational principle. As a consequence, we conclude that for this class of systems the four notions coincide and, moreover, they also coincide with the notion of topological pressure introduced in \cite{ACS17}.
