Mustapha S. Fofana, Ph.D.

Publications

Fofana, M. S and Ryba, P., B, (2004) "Parametric Stability of Nonlinear Delay Diffferential Equations," International Journal of Non-Linear Mechanics, 39, 79-91.
Fofana, M. S., Ee, K. C., and Jawahir, I. S., (2003) "Machining Stability in Turning Operation When Cutting With a Progressively Worn Tool Insert," Wear Journal, 255, 1395-1403.
Fofana, M. S., Cabell, B. Q., Vawter, Usilton, M. F., and Ryba, P. B., (2003), "Illustrative Applications of the Theory of Delay Dynamical Systems," Mathematical and Computer Modelling, 37, 1371-1382.
Fofana, M. S., (2003) "Delay Dynamical Systems and Applications to Machine-Tool Chatter," Chaos, Solitons & Fractals, 17, 731-747.
Fofana, M. S., (2002) "Asymptotic Stability of a Stochastic Delay Equation," Probabilistic Engineering Mechanics, 17, 385-392.
Fofana, M. S., (2002), Aspects of Stable and Unstable Machining by Hopf Bifurcation," Journal of Applied Mathematical Modelling, 26, 953-973.
Ariaratnam, S. T. and Fofana, M. S., (2002), "The Effect of Nonlinearity in Turning Operation," Journal of Engineering Mathematics, 42(2), 143-156.
Fofana, M. S., (2002), "Effect of Regenerative Process on the Sample Stability of a Multiple Delay Differential Equation," Chaos, Solitons & Fractals, 14, 301-309.
Fofana, M. S., (2002), "Sufficient Conditions for the Stability of Single and Multiple Regenerative Chatter," Chaos, Solitons & Fractals, 14, 335-347.
Fofana, M. S., (2002), "An Illustrative Reduction Approach in Machining Dynamics," Transactions of NAMRI XXX, 469-476.
Fofana, M. S., (2002), "On the Sample Stability of Nonlinear Chatter Machining," Machining Science and Technology Journal, 6(1), 129-149.
Fofana, M. S., (2002), "Moment Lyapunov Exponent of a Stochastic Delay Equation," International Journal of Mathematics and Mathematical Sciences (IJMMS), 30(6), 339-351.
Fofana, M. S., and Lamb, D. L., (1997)," On the Stability of a Nonlinear Time Delay System," Automatica, 34(3), 375-378.
Fofana, M. S., "On the Dynamic Stability of Nonlinear Chatter Machining," ASME International Mechanical Engineering Congress and Exposition Symposium" Manufacturing Science and Engineering, 10, (1999), 369-378.
Fofana, M. S. and Ryba, P. B., ""On the Numerical Solutions of Machine-Tool Chatter with Multiple Delays," ASME International Mechanical Engineering Congress and Exposition Symposium on Manufacturing Engineering, November 5-10, 2000, (in print).
Fofana, M. S., "Effect of Regenerative Process on the Sample Stability of a Multiple Delay Differential Equation," ASME International Mechanical Engineering Congress and Exposition Symposium on Nonlinear Dynamics and Stochastic Mechanics, November 5-10, 2000, (in print).
Fofana, M. S., "On the Stationary Stability of Machine-Tool Chatter with Ergodic Damping Process", 8th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, University of Notre Dame, July 24-26, 2000, (published on CD Rom).
Fofana, M. S., "Application of Infinite Dimensional Dynamical Systems to Mechanical Vibration Induced by Chatter," International Conference on Dynamical Systems & Differential Equations, May 18-21, 2000, Kennesaw State University, Kennesaw, GA.
Fofana, M. S., "The Prediction of Nonlinear Chatter in Turning by Hopf Bifurcation," The Ninth International Manufacturing Conference (IMCC' 2000), August 16-17, 2000, University of Hong Kong, China (in press).
Fofana, M. S., "Degenerate Hopf Bifurcation to Multiple Regenerative Chatter," Proceedings of the 8th IEEE Mediterranean Conference on Control and Automation (Med 2000), Rio Patras, Greece, 17-29 July 2000 (printed).
Fofana, M. S., "Chatter Characterization in Orthogonal Machining", The 7th Mechatronics Forum International Conference and Mechatronics Education Workshop, Georgia Institute of Technology, September 6-8, 2000, (in press).
Deshpande, N. and Fofana, M. S., "Nonlinear Regenerative Chatter in Turning," 10th International Conference on Flexible Automation and Intelligent Manufacturing, University of Maryland, June 26-28, 2000, 290-299.
Fofana, M. S., "On the Stochastic Stability of Regenerative Chatter Machining," 10th International Conference on Flexible Automation and Intelligent Manufacturing, University of Maryland, June 26-28, 2000, 1095-1104.
Bukkapatnam, Satish T. S. and Fofana, M. S., "Hopf Bifurcation in Machining," 10th International Conference on Flexible Automation and Intelligent Manufacturing, University of Maryland, June 26-28, 2000, 145-154.
Fofana, M.S., "Spatial Decomposition in a Mechanical System with Discrete Delays", International Journal of Differential Equations and Applications (in print).
Ariaratnam, S. T. and Fofana, M. S., "The Effect of Nonlinearity in Orthogonal Turning Operation," Journal of Engineering Mathematics (Accepted).
Deshpande, N. V. and Fofana, M. S., (1999) "Nonlinear Regenerative Chatter in Turning" FAIM Conference 2000, Flexible Automation and Intelligent Manufacturing Journal (currently under review).
Fofana, M. S., (1999) "On the Stochastic Stability of Regenerative Chatter Machining", FAIM Conference 2000, Flexible Automation and Intelligent Manufacturing Journal (currently under review).
Cournoyer, R. J. and Fofana, M. S., "Application of Parametric Software into CAM Environment", Journal of Engineering Education (currently under review).
Fofana, M. S., "Deterministically and Stochastically Perturbed Hopf Bifurcation", Journal of Engineering Mechanics (under review).
Fofana, M. S., "Spatial Decomposition in a Mechanical System with Discrete Delays," International Journal of Differential Equations and Applications (in print).
Ariaratnam, S. T. and Fofana, M. S., "The Effect of Nonlinearity in Orthogonal Turning Operation," Journal of Engineering Mathematics (accepted).
Fofana, M. S., "Effect of Regenerative Process on the Sample Stability of a Multiple Delay Differential Equation," ASME International Mechanical Engineering Congress and Exposition Symposium on Nonlinear Dynamics and Stochastic Mechanics, November 5-10, 2000 (in print).
Fofana, M. S., "On the Stationary Stability of Machine-Tool Chatter with Ergodic Damping Process", 8th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, University of Notre Dame, July 24 - 26, 2000 (published on CD Rom).
Fofana, M. S., "Application of Infinite Dimensional Dynamical Systems to Mechanical Vibration Induced by Chatter," International Conference on Dynamical Systems & Differential Equations, May 18-21, 2000, Kennesaw State University, Kennesaw, Georgia.
Fofana, M. S., "The Prediction of Nonlinear Chatter in Turning by Hopf Bifurcation," The Nineth International Manufacturing Conference (IMCC' 2000), August 16-17, 2000, University of Hong Kong, China (in press).
Fofana, M. S., Degenerate Hopf bifurcation to Multiple Regenerative Chatter," Proceedings of the 8th IEEE Mediterranean Conference on Control and Automation (MED 2000), Rio Patras, Greece, 17-19 July 2000 (printed).
Fofana, M. S., "Chatter Characterization in Orthogonal Machining", The 7th Mechatronics Forum International Conference and Mechatronics Education Workshop, Georgia Institute of Technology, September 6-8, 2000 (in press).
Deshpande, N. and Fofana, M. S., "Nonlinear Regenerative Chatter in Turning," 10th International Conference on Flexible Automation and Intelligent Manufacturing, University of Maryland, June 26-28, 2000, 290-299.
Fofana, M. S., "On the Stochastic Stability of Regenerative Chatter Machining," 10th International Conference on Flexible Automation and Intelligent Manufacturing, University of Maryland, June 26-28, 2000, 1095-1104.
Bukkapatnam, Satish T. S., and Fofana, M. S., "Hopf Bifurcation in Machining," 10th International Conference on Flexible Automation and Intelligent Manufacturing, University of Maryland, June 26-28, 2000, 145-154.
Fofana, M. S., (1999) "On the Regenerative Chatter Bifurcation in Noisy Drilling Chatter Process," International Journal of Advanced Manufacturing Systems, Vol. 2, No. 1, pp 13-30.
Fofana, M. S., Currie, L. G., and Lee, A. G. (1999), "On the Doubly Nonlinear Stability of Regenerative Chatter Grinding," International Journal of Advanced Manufacturing Systems, Vol. 2, No. 1, pp 45-58.
Fofana, M. S., (1999) "On the Dynamic Stability of Nonlinear Chatter Machining," ASME International Mechanical Engineering Congress and Exposition Symposium Manufacturing Science and Technology, Vol. 10, pp 369-378.
Fofana, M. S., and Lamb, D. L., (1995) "On the Stability Control of a Nonlinear Time Delay System" Automatica Journal, Vol 34, No. 3, pp 375-378.