Tlusty, J., 2000, "*Manufacturing Processes and Equipment*", 1st ed.Prentice-Hall, Upper Saddle River.

Altintas, Y., 2001, “Analytical Prediction of Three Dimensional Chatter Stability in Milling,” JSME Int. J., 44 , pp. 717–723.

Davies, M. A., Pratt, J. R., Dutterer, B., and Burns, T. J., 2002, “Stability Prediction for Low Radial Immersion Milling,” J. Manuf. Sci. Eng.

[CrossRef], 124 , pp. 217–225.

Schmitz, T., and Ziegert, J., 1999, “Examination of Surface Location Error due to Phasing of Cutter Vibrations,” Precis. Eng.

[CrossRef], 23 , pp. 51–62.

Altintas, Y., 2000, "*Manufacturing Automation*", 1st ed.Cambridge University Press, New York.

Sutherland, J. W., and DeVor, R. E., 1986, “An Improved Method for Cutting Force and Surface Error Prediction in Flexible end Milling Systems,” J. Eng. Ind., 108 , pp. 269–279.

Tobias, S. A., 1965, "*Machine Tool Vibration*", Blackie, London.

Tlusty, J., Polacek, A., Danek, C., and Spacek, J., 1962, “Selbsterregte Schwingungen an Werkzeugmaschinen,” VEB Verlag Technik, Berlin.

Merritt, H., 1965, “Theory of Self-Excited Machine Tool Chatter,” J. Eng. Ind., 87 , pp. 447–454.

Pratt, J. R., and Nayfeh, A. H., 1999, “Design and Modeling for Chatter Control,” Nonlinear Dyn.

[CrossRef], 19 , pp. 49–69.

Koenisberger, F., and Tlusty, J., 1967, "*Machine Tool Structures-Vol. 1: Stability Against Chatter*", Permagon, Oxford.

Kegg, R. L., 1965, “Cutting Dynamics in Machine Tool Chatter,” J. Eng. Ind., 87 , pp. 464–470.

Shridar, R., Hohn, R. E., and Long, G. W., 1968, “A Stability Algorithm for the General Milling Process,” J. Eng. Ind., 90 , p. 330.

Hanna, N. H., and Tobias, S. A., 1974, “A Theory of Nonlinear Regenerative Chatter,” J. Eng. Ind., 96 , pp. 247–255.

Tlusty, J., and Ismail, F., 1983, “Special Aspects of Chatter in Milling,” J. Vibr. Acoust., 105 , pp. 24–32.

Grabec, I., 1988, “Chaotic Dynamics of the Cutting Process,” Int. J. Mach. Tools Manuf.

[CrossRef], 28 , pp. 19–32.

Stépán, G., 1989, "*Retarded Dynamical Systems: Stability and Characteristic Functions*", John Wiley, New York.

Minis, I., and Yanushevsky, R., 1993, “A New Theoretical Approach for Prediction of Machine Tool Chatter in Milling,” J. Eng. Ind., 115 , pp. 1–8.

Smith, S., and Tlusty, J., 1991, “An Overview of the Modeling and Simulation of the Milling Process,” J. Eng. Ind., 113 , pp. 169–175.

Altintas, Y., and Budak, E., 1995, “Analytical Prediction of Stability Lobes in Milling,” CIRP Ann., 44 , pp. 357–362.

Schultz, H., and Moriwaki, T., 1992, “High-Speed Machining,” CIRP Ann., 41 , pp. 637–643.

Nayfeh, A. H., Chin, C. M., and Pratt, J., 1997, “Applications of Perturbation Methods to Tool Chatter Dynamics,” in "*Dynamics and Chaos in Manufacturing Processes*", Wiley, New York.

Balachandran, B., 2001, “Non-Linear Dynamics of Milling Process,” Philos. Trans. R. Soc. London, Ser. A, 359 , pp. 793–819.

Davies, M., and Balachandran, B., 2001, “Impact Dynamics in Milling of Thin-Walled Structures,” Nonlinear Dyn.

[CrossRef], 22 , pp. 375–392.

Stépán, G., and Kalmár-Nagy, T., 1997, “Nonlinear Regenerative Machine Tool Vibration,” in "*Proceedings of the 1997 ASME Design Engineering Technical Conference*", Sacramento, CA, No. DETC97/VIB-4021 (CD-ROM), p. n/a.

Fofana, M. S., and Bukkapatnam, S. T., 2001, “A Nonlinear Model of Machining Dynamics,” in "*Proceedings of the 18th Biennial Conference of Mechanical Vibrations and Noise*", Pittsburgh, PA, No. DECT2001/VIB-21582, ASME.

Zhao, M. X., and Baldachandran, B., 2001, “Dynamics and Stability of Milling Process,” Int. J. Solids Struct.

[CrossRef], 38 , pp. 2233–2248.

Montgomery, D., and Altintas, Y., 1991, “Mechanism of Cutting Force and Surface Generation in Dynamic Milling,” J. Eng. Ind., 113 , pp. 160–168.

Insperger, T., and Stépán, G., 2000, “Stability of High-Speed Milling,” in "*Proceedings of Symposium of Nonlinear Dynamics and Stochastic Mechanics*", No. AMD-241, Orlando, FL, pp. 119–123.

Corpus, W. T., and Endres, W. J., 2000, “A High Order Solution for the Added Stability Lobes in Intermittent Machining,” in "*Proceeding of the Symposium on Machining Processes*", No. MED-11, pp. 871–878.

Bayly, P. V., Halley, J. E., Mann, B. P., and Davies, M. A., 2001, “Stability of Interrupted Cutting by Temporal Finite Element Analysis,” in "*Proceedings of the 18th Biennial Conference on Mechanical Vibration and Noise*", Pittsburgh, PA, No. VIB-21581, ASME.

Mann, B. P., Insperger, T., Bayly, P. V., and Stépán, G., 2003, “Stability of Up-Milling and Down-Milling, Part 2: Experimental Verification,” Int. J. Mach. Tools Manuf.

[CrossRef], 43 , pp. 35–40.

Mann, B. P., Bayly, P. V., Davies, M. A., and Halley, J. E., “Limit Cycles, Bifurcations, and Accuracy of the Milling Proces,” J. Sound Vib., (in press).

Halley, J. E., 1999, “Stability of Low Radial Immersion Milling,” Master’s thesis, Washington University, Saint Louis.

Meirovitch, L., 1986, "*Elements of Vibration Analysis*", 2nd ed., McGraw-Hill, New York.

Bayly, P. V., Mann, B. P., Schmitz, T. L., Peters, D. A., Stépán, G., and Insperger, T., 2002, “Effects of Radial Immersion and Cutting Direction on Chatter Instability in End-Milling,” in "*Proceedings of the ASME Engineering Congress and Exposition*", New Orleans, LA, No. IMECE2002-34116, ASME.

Peters, D. A., and Idzapanah, A. P., 1988, “Hp-Version Finite Elements for the Space-Time Domain,” Comput. Mech.

[CrossRef], 3 , pp. 73–78.

Bayly, P. V., Halley, J. E., Davies, M. A., and Pratt, J. R., 2001, “Stability Analysis of Interrupted Cutting with Finite Time in the Cut,” in "*Proceedings of ASME Design Engineering Technical Conference, Manufacturing in Engineering Division, Orlando, Florida*", No. MED-11, Orlando, FL, ASME, pp. 989–994.

Jaluria, Y., 1986, "*Computational Heat Transfer*", 1st ed., Hemisphere, Washington.

Virgin, L. N., 2000, "*Introduction to Experimental Nonlinear Dynamics*", Cambridge University Press, Cambridge.

Insperger, T., Mann, B. P., Stépán, G., and Bayly, P. V., 2003, “Stability of Up-Milling and Down-Milling, Part 1: Alternative Analytical Methods,” Int. J. Mach. Tools Manuf.

[CrossRef], 43 , pp. 25–34.

Schmitz, T. L., 2003, “Chatter Recognition by a Statistical Evaluation of the Syncronously Sampled Audio Signal,” J. Sound Vib.

[CrossRef], 262 , pp. 721–730.

Stephenson, D. A., and Agapio, J. S., 1997, "*Metal Cutting Theory and Practice*", 1st ed.Marcel Dekker, New York.

Schmitz, T. L., Bayly, P. V., Soons, J. A., and Dutterer, B., 2001, “Prediction of Surface Location Error by Time Finite Element Analysis and Euler Integration,” in "*Proceedings of the 17th Annual ASPE Meeting, October 20–25*", American Society for Precision Engineering, pp. 132–137.

Kline, W. A., Devor, R. E., and Shareef, I., 1982, “Prediction of Surface Accuracy in End Milling,” J. Eng. Ind., 104 , pp. 272–278.

Mann, B. P., Young, K. A., Schmitz, T. L., Bartow, M. J., and Bayly, P. V., 2003, “Machining Accuracy due to Tool or Workpiece Vibrations,” in "*Proceedings of ASME International Mechanical Engineering Congress and Exposition*", Washington, D.C., No. IMECE2003-41991, ASME.

Pandit, S. M., 1991, "*Modal and Spectrum Analysis: Data Dependent Systems in State Space*", 1st ed., Wiley, New York.

Ewins, D. J., 1985, "*Modal Testing: Theory and Practice*", Wiley, New York.

Davies, M. A., Pratt, J. R., Dutterer, B., and Burns, T. J., 2000, “The Stability of Low Radial Immersion Machining,” CIRP Ann., 49 , pp. 37–40.