井冈山大学学报（自然科学版）Issue(6)：6-12,7.DOI:10.3969/j.issn.1674-8085.2013.06.002
具时滞正交切削颤振模型的稳定性与Hopf分支分析
STABILITY AND HOPF BIFURCATION ANALYSIS OF ORTHOGONAL CUTTING MODEL WITH TIME DELAY
摘要
Abstract
The mathematical model of orthogonal cutting model with time delay is studied. The stability of the equilibrium is discussed by analyzing the characteristic equation of the linearized system of original system at the equilibrium. The regions of linear stability of equilibrium are given. It is found that Hopf bifurcation exist when the delay passes through a sequence of critical values and the chaos occurs when delay increase further. Finally, some numerical simulations are carried out for supporting the analytic results.关键词
时滞/稳定性/Hopf分支/混沌Key words
time delay/stability/Hopf bifurcation/chaos分类
数理科学引用本文复制引用
杨纪华..具时滞正交切削颤振模型的稳定性与Hopf分支分析[J].井冈山大学学报（自然科学版）,2013,(6):6-12,7.基金项目
宁夏自然科学基金项目(NZ132013) （NZ132013）
宁夏师范学院创新团队项目(zy201207) （zy201207）
宁夏师范学院本科教学工程项目(JXGC2012B01) （JXGC2012B01）
