On cycles of periodically time-variant Boolean networks

摘要

This paper investigates cycles of periodically time-variant Boolean networks (PTVBN). Firstly, compared with the time-invariant Boolean networks, new properties of cycles of PTVBN are revealed for the first time. Then, necessary and sufficient conditions for judging cycles of PTVBNs are obtained and consequently the method to search cycles is given. Finally, some examples are given to illustrate the obtained results.