吉首大学学报（自然科学版）2026，Vol.47Issue(2)：24-33,10.DOI:10.13438/j.cnki.jdzk.2026.02.005
完全二部图上XOR-OR并行混合动力系统的固定点与周期点
Fixed Points and Periodic Points in XOR-OR Parallel Hybrid Dynamical Systems over Complete Bipartite Graphs
摘要
Abstract
This paper investigates the dynamical evolution of parallel hybrid dynamical systems on com-plete bipartite graphs,where the local functions for the two vertex sets are configured as the Boolean XOR and OR functions,respectively.Through mathematical deduction and computer simulation,the re-sults show that when the number of OR-vertices is odd,the system exhibits both fixed points and period-2 points.Conversely,when the number of OR-vertices is even,only fixed points exist.Furthermore,the necessary and sufficient conditions for the existence of these states,along with their specific counting for-mulas,are derived.关键词
并行混合动力系统/完全二部图/固定点/周期点Key words
parallel hybrid dynamical system/complete bipartite graph/fixed point/periodic point分类
数理科学引用本文复制引用
薛雅婷,郑洁,李奇珂..完全二部图上XOR-OR并行混合动力系统的固定点与周期点[J].吉首大学学报（自然科学版）,2026,47(2):24-33,10.基金项目
"Smart Curriculum"Project of Donghua University(ZHH-2025-08) （ZHH-2025-08）
Shanghai Philosophy and So-cial Sciences Planning Project(2021BPX005) （2021BPX005）
