References
- Demir A SriNamachchivaya N Langford WF 2002 Nonlinear Delay Equations with Fluctuating Delay: Application to Regenerative Chatter, ASME New York 12 pp. CD-ROM
- Demir A Sri Namachchivaya N Functional analytic approach to non-linear delay equations with periodic delays Mathematical Analysis and Applications Submitted
- Golubitsky M Schaeffer DG 1985 Singularities and Groups in Bifurcations Theory I New York Springer-Verlag
- Golubitsky , M and Langford William , F . 1981 . Classification and unfoldings of degenerate Hopf Bifurcations . Journal of Mathematical Analysis and Applications , 41 : 375 – 414 .
- Hassard BD Kazarinoff ND Wan YH 1983 Theory and Applications of Hopf Bifurcation London Mathematical Society Lecture Note Series, 41 Cambridge University Press
- Hale JK 1977 Theory of Functional Differential Equations New York Springer-Verlag
- Hale JK 1979 Nonlinear Oscillations in Equations with Delays Nonlinear Oscillations in Biology Edited by Frank C. Hoppensteadt Providence RI American Mathematical Society 157 185
- Hanna NA Tobias SA 1974 A Theory of nonlinear regenerative chatter Journal of Engineering for Industry Transactions of the ASME 35 247 255
- Hosi , T and Sato , M . 1977 . Study of practical application of fluctuating speed cutting for regenerative chatter control . Annals of the CIRP , 25 : 175 – 179 .
- Inamura T Sata T 1975 Stability analysis of cutting under varying spindle speed Journal of The faculty of Engineering University of Tokyo-B 23 1 13 29
- Yan Liang 2000 Nonlinear dynamics in manufacturing process Master's Thesis, University of Illinois
- Sri Namachchivaya , N and Beddini , R . 2003 . Spindle speed variation for the suppression of regenerative chatter . Journal of Nonlinear Science , 13 ( 3 ) : 265 – 288 .
- Sri Namachchivaya , N and Van Roessel , HJ . 2003 . A center manifold analysis of variable speed machining . Journal of Dynamical Systems , 18 ( 3 ) : 245 – 270 .
- Sexton , JS , Miline , RD and Stone , BJ . 1977 . The stability of machining with continuously varying spindle speed . Applied Mathematical Modelling , 1 : 311 – 318 .
- Sexton , JS and Stone , BJ . 1977 . The stability of machining with continuously varying spindle speed . Annals of the CIRP , 27 : 321 – 326 .
- Stépán G 1989 Retarded Dynamical Systems: Stability and Characteristic Functions Harlow Longman
- Tobias SA 1965 Machine-Tool Vibration Glasgow Scotland Blackie & Son Ltd