Scientific collaboration has a complex hypernetwork structure. How to construct scientific in system is an open issue. In this paper, non-uniform dynamic collaborative evolution model proposed. the proposed method, each scholar viewed as node, and cooperation relationship regarded hyperedge. This includes three processes: adding hyperedges, entering nodes, forming hyperedges by new nodes. It th...

Hybrid dynamical systems consist of piecewise defined continuous time evolution processes interfaced with some logical or decision making process. These switches between different evolutions are triggered if the continuous state of the system reaches thresholds in state space. In the present work we investigate hybrid systems forming a special type of dynamical systems, so-called strange billia...

The properties of ω-limit set and global asymptotic behavior are first obtained for asymptotically autonomous discrete dynamical processes on metric spaces.Then certain equivalence of the asymptotic behavior between an asymptotically periodic semiflows and its associated asymptotically autonomous discrete dynamical process is proved. As some applications, the global behavior of asymptotically p...