Title :
On cycles of periodically time-variant Boolean networks
Author :
Yunlei Zou ; Jiandong Zhu
Author_Institution :
Sch. of Math. Sci., Nanjing Normal Univ., Nanjing, China
Abstract :
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.
Keywords :
Boolean functions; matrix algebra; PTVBN; periodically time-variant Boolean network; Controllability; Educational institutions; Electronic mail; Equations; Genetics; Mathematical model; Vectors; Cycles; Periodically time-variant Boolean networks; Semi-tensor product;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
