Xie Q Z, Zhang Q C, Han J X. Hopf bifurcation for delay differential equation with application to machine tool chatter[J]. Appl Math Mod,2012,36(8):3803-3812.
[5]
Wan M, Zhang W H, Dang J W. A unified stability prediction method for milling process with multiple delays[J]. Inter J Mach Tool Manuf, 2010,50(1):29-41.
[6]
Chaitanya V. Stability analysis of structurally unstable man-machine system involving time delays[J]. Nonlinear Analysis:RWA,2005,6(5):845-857.
Hale J K. Theory of Functional Differential Equations[M]. New York:Springer-Verlag,2003.
[9]
Jiang W H, Wang H B, Wei J J. A study of singularities for magnetic bearing system with time delays[J]. Chaos, Solitons and Fractals,2008,36(4):715-719.
Szalai R, Stepan G, Hogan S J. Global dynamics of low immersion high speed milling[J]. J Manuf Sci Eng,2004,7(1):1069-1077.
[12]
Davies M A, Pratt J R, Dutterer B. Stability prediction of low radial immersion milling[J]. J Manuf Sci Eng,2002,124(2):217-225.
[13]
Barton D A W, Insperger T, Stepan G. Criticality of Hopf bifurcation in state-dependent delay model of turning processes[J]. Internat J Nonlinear Mech,2008,43(2):140-149.
[14]
Wiggins S. Introduction to Applied Nonlinear Dynamical System and Chaos[M]. New York:Springer-Verlag,1996.
[15]
Ruan S G, Wei J J. On the zeros of transcendental function with applications to stability of delay differential equation with two delays[J]. Dyn Contin Discrete Impuls Syst,2003,10(6):863-874.
[16]
Hale J K, Lunel S V. Introduction to Functional Differential Equation[M]. New York:Springer-Verlag,1993.
