The Grainger College of Engineering
Aerospace Engineering

N Sri Namachchivaya

N Sri Namachchivaya
N Sri Namachchivaya
Professor Emeritus

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Education

  • Ph.D. in Applied Mechanics, University of Waterloo, Waterloo, Canada, 1984
  • M.A. Sc. in Applied Mechanics, University of Waterloo, Waterloo, Canada, 1981
  • B. Tech in Civil Engineering, Indian Institute of Technology, Kanpur, India, 1979

Biography

Navaratnam Sri Namachchivaya is a Professor of Aerospace Engineering and the Director of the Nonlinear Systems Group at the University of Illinois at Urbana-Champaign where he has been a professor since 1985. Professor Sri Namachchivaya is internationally renowned for his scholarly contributions to the fields of nonlinear systems, random dynamical systems, estimation and filtering theory. His research focuses on understanding noisy nonlinear dynamical systems and developing new algorithms and tools for the collection, assimilation and harnessing of data using multidisciplinary approaches from asymptotic methods, modeling, statistical learning and simulations.

Professor Sri Namachchivaya holds a Ph.D. in Applied Mechanics from the University of Waterloo, Canada. He is the recipient of numerous awards and recognitions, including the NSF Presidential Young Investigator Award, Xerox Award, MSRI and Russell Severance Springer Professorship at University of California, Berkeley, and he has been invited as a distinguished visiting professor at numerous institutions world-wide. Professor Sri Namachchivaya is a Fellow of the American Society of Mechanical Engineers.
He has co-authored over 125 scientific articles in journals and books, and has co-edited 12 books on nonlinear and random dynamical systems. He is on the editorial board of several journals in the area of nonlinear and stochastic dynamics. He has been the co-chair of thirteen of international conferences on applications of nonlinear and random dynamical systems. To date, Professor Sri Namachchivaya has co-authored approximately 250 publications and has given over 200 invited talks, including numerous keynote lectures.

Academic Positions

  • Visiting Assistant Professor, Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, August 1985-July 1986
  • Visiting Assistant Professor, Department of Aerospace & Mechanics Univiversity of Minnesota, Minneapolis, MN, July-August 1986
  • Assistant Professor, Department of Aerospace Engineering, University of Illinois, August 1986-July 1990
  • Visiting Scientist, Fields Institute for Research in Mathematical Sciences, Canada, January-June 1993
  • Visiting Professor, Institute for Dynamical Systems, Univ. of Bremen, Germany, September-November 1993
  • Associate Professor, Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, August 1990–July1996
  • Visiting Professor, Department of Mechanical Engineering, University of Queensland Brisbane, Australia December 1995 – January 1996
  • Distinguished Guest Professor, Institute for Mechanics, Technical University of Vienna, Vienna, Austria, June-July 1997
  • Schmidt Distinguished Visiting Professor of Engineering, College of Engineering, Florida Atlantic University, Boca Raton, Florida, January 1998
  • Visiting Professor, Department of Mathematics & Institute for Systems Research, University of Maryland, College Park, Maryland, September-December 2003
  • MSRI Research Professor, Mathematical Sciences Research Institute (MSRI)  at Berkeley, California, January-June 2007
  • Distinguished Visiting Professor, Institute for Mechanics, Technical Univ. of Hamburg, Hamburg, Germany, March-June 2010
  • Russell Severance Springer Professor, Department of Mechanical Engineering, University of California, Berkeley, CA, February-March 2011
  • Professor, Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, August 1996-present
  • Professor, Information Trust Institute, University of Illinois at Urbana-Champaign, August 2006-present

Research Interests

  • Multi-scale modeling
  • Homogenization
  • Filtering and estimation
  • Stability and bifurcation theory
  • Nonlinear and random dynamical systems

Research Areas

Books Edited or Co-Edited (Original Editions)

  • Wayne Nagata and N. Sri Namachchivaya, editors, Bifurcation Theory and Spatio Temporal Pattern Formation, Fields Institute Communications Vol.49, American Mathematical Society, Providence, RI, 2006.
  • N. Sri Namachchivaya and Y.K. Lin, editors, Nonlinear Stochastic Dynamics, Solid Mechanics and Its Applications, Vol.110, Kluwer Academic Publishers, Dordrecht, 2003.
  • W.C. Xie, and N. Sri Namachchivaya, editors, Nonlinear Dynamics and Stochastic Mechanics, Special issue of Chaos, Solitons and Fractals, (Elsevier Science Publications), Volume 14, Issue 2, August 2002.
  • W.C. Xie, N. Sri Namachchivaya and B. Balachandaran, editors, Nonlinear Dynamics and Stochastic Mechanics, AMD241, American Society of Mechanical Engineers, NewYork, NY, 2000.
  • W.W. Clark, W.C. Xie, D. Allaei, Y.F. Hwang, N. Sri Namachchivaya and O.M.O’ Reilly, editors, Active/Passive Vibration Control and Nonlinear Dynamics of Structures, Vol. DE-91 and Vol. AMD-223, American Society of Mechanical Engineering, 1997.
  • W. Kliemann, W.F. Langford and N. Sri Namachchivaya, editors, Nonlinear Dynamics and Stochastic Mechanics, Fields Institute Communications Vol.9, American Mathematical Society, Providence, RI, 1996.
  • W. Kliemann and N. Sri Namachchivaya, editors, Nonlinear Dynamics and Stochastic Mechanics, CRC Press, Inc., 1995.
  • A.K .Bajaj, N.Sri Namachchivaya and R.A.Ibrahim, editors, Nonlinear and Stochas-tic Dynamic s,AMD-Vol.192, American Society o fMechanical Engineering,1994.
  • R.A. Ibrahim,N. Sri Namachchivaya and A.K. Bajaj, Nonlinear Vibrations, AMD-Vol. 144, American Society of Mechanical Engineers, 1992.
  • M.P. Paidoussis and N. Sri Namachchivaya, editors, Stability and Control of Pipes Conveying Fluid, (Vol.8) AMD-Vol.152, American Society of Mechanical Engineers, 1992.
  • Y.K. Wen, N. Sri Namachchivaya and H.H. Hilton, editors, Methods of Stochastic Mechanics and Applications, Special issue of the Journal of Structural Safety, (Elsevier Science Publications), Vol.6, Nos.2-4, November 1989.
  • N. Sri Namachchivaya, H.H. Hilton and Y.K. Wen, editors, Proceedings of the International Conference on Stochastic Structural Dynamics, University of Illinois at Urbana-Champaign, September 1989.

Chapters in Books

  • Jun H. Park, Vishal Chikkerur, N. Sri Namachchivaya, Santiago Grijalva, Peter W. Sauer, and Brian Raczkowski, "Direct Data Driven Electric Power Systems," in Dynamic Data Driven Applications Systems, eds. Frederica Darema and Craig Douglas, Spring Series, (submitted).
  • Peter Imkeller, N. Sri Namachchivaya, Nicolas Perkowski, and Hoong C. Yeong, "A Homogenization Approach to Multiscale Filtering," in 50 Years of Chaos: Applied and Theoretical, eds. Takashi Hikihara and Tsutomu Kambe, Elsevier Series, pp. 34-45, 2012.
  • Andrea Barreiro, Shanshan Liu, N. Sri Namachchivaya, Kristjan Onu, Jun Park, Peter W. Sauer, and Richard B. Sowers, "Data Assimilation in the Detection of Vortices," in Device Applications of Nonlinear Dynamics (eds. Visarath In, Patrick Longhini and Antonio Palacios), Springer Verlag, pp. 47-60, 2009.
  • R. McDonald and N. Sri Namachchivaya and Wayne Nagata, "Bifurcations of Gyroscopic Systems Near a 0:1 Resonance", in Bifurcation Theory and Spatio-Temporal Pattern Formation, eds. Wayne Nagata and N. Sri Namachchivaya, Fields Institute Communications Vol.49, American Mathematical Society, Providence, RI, pp. 79-116, 2006.
  • E.H. Abed, N.Sri Namachchivaya, T.J. Overbye, M.A. Pai MA ,P.W. Sauer and A. Sussman, "Data driven power system operations," Lecture Notes Computer Science, Vol. 3993, Springer-Verlag, pp. 448-455, 2006.
  • N. Sri Namachchivaya, H.J. Van Roessel and Sarah Wustrack, "Delay Equations with Fluctuating Delay: Application to Variable Speed Machining", in Chaotic Dynamics and Control of Systems and processes in Mechanics, eds. G. Rega and F Vestroni, Solid Mechanics and Its Applications, Vol. 122, Kluwer Academic Publishers, Dordrecht, pp. 355-370, 2005.
  • N. Sri Namachchivaya, N. Ramakrishnan, H.J. Van Roessel and Lalit Vedula, "Stochastic Stability of Two Coupled Oscillators in Resonance: Averaging method", in Nonlin-ear Stochastic Dynamics, eds. N. Sri Namachchivaya and Y.K. Lin, Solid Mechanics and Its Applications, Vol. 110, Kluwer Academic Publishers, Dordrecht, pp. 167-178, 2003.
  • N. Sri Namachchivaya adn Y.K. Lin, "Nonlinear Stochastic Dynamics - Forward," in Nonlinear Stochastic Dynamics, eds. N. Sri Namachchivaya and Y.K. Lin, Solid Mechanics and its Applications, Vol. 110, Kluwer Academic Publishers, Dordrecht, pp. 1-8, 2003.
  • N. Sri Namachchivaya, Richard Sowers and Lalit Vedula, "Stochastic Averaging on Graphs: Noisy Duffing-vander Pol Equation", In D.S. Broomhead, E.A. Luchinskaya, P.V.E. McClintock and T. Mullin, ed., Stochastic and Chaotic Dynamics in the Lakes, American Institute of Physics, Melville, NY, USA, pp. 255-265, 2000.
  • Yan Liang and N. Sri Namachchivaya,"P-Bifurcation in the Stochastic Version of the Duffing-van der Pol Equation", in Stochastic Dynamics, eds. H. Crauelund V. M. Gundlach, Springer-Verlag, pp. 169-180, 1999.
  • N. Sri Namachchivaya and R. McDonald, "Global dynamics in gyroscopic and aeroelastic systems", in New Applications of Nonlinear and Chaotic Dynamics in Mechanics, ed. Francis C. Moon, Kluwer Academic Publishers, Dordrecht pp. 471-482, 1998.
  • M. Doyle, N. Sri Namachchivaya and L. Arnold, "Small noise expansion of moment Lyapunov exponents for two dimensional systems", Advances in Nonlinear Stochastic Mechanics, eds. A. Naess and S. Krenk, Solid Mechanics and Its Applications, Vol.47, Kluwer Academic Publishers, pp.153-169, 1996.
  • N. Sri Namachchivaya and N. Malhotra, "Normal Forms and Homoclinic Chaos:Ap-plication to Structural Systems", Fields Institute Communication (AMS), Vol. 4, pp.253-271, 1995.
  • W. Kliemann and N. Sri Namachchivaya, "Introduction to Nonlinear Dynamics and Stochastic Mechanics", Nonlinear Dynamics and Stochastic Mechanics, eds. W. Kliemann and N. Sri Namachchivaya, CRC Press, Inc. pp. 1-10, 1995.
  • N. Sri Namachchivaya and Monica M. Doyle, "StochasticDynamics", Nonlinearity and Chaos in Engineering Dynamics, eds. J.M.T. Thompson and S. Bishop, John Wiley, pp. 251-267, 1994.
  • N. Sri Namachchivaya, M.A. Pai and Monica M. Doyle, "Stochastic Approach to Small Disturbance Stability in Power Systems", Lyapunov Exponents, eds. L. Arnold, H. Craueland J.-P. Eckmann, Lecture Notes in Mathematics, Vol. 1486, Springer-Verlag, pp. 292-308, 1991.
  • N. Sri Namachchivaya and S.T. Ariaratnam, "Stochastically Perturbed Hopf Bifurcations", Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits, eds. M. Salam and M. Levi, SIAM, pp. 39-52,1988.
  • N. Sri Namachchivaya and H.H. Hilton, "Stochastically Perturbed Bifurcations", Nonlinear Stochastic Dynamic Engineering Systems, eds. F. Ziegler and G.I. Schueller, Springer-Verlag, pp. 169-180,1988.
  • N. Sri Namachchivaya and Y.K. Lin, "Stochastic Averaging for Nonlinear Systems with High Damping", Stochastic Structural Mechanics, eds. Y.K. Lin and G.I. Schueller, Lecture Notes in Engineering, Vol. 31, Springer-Verlag, New York ,pp. 281-310, 1987.
  • S.T. Ariaratnam and N. Sri Namachchivaya, "Dynamic Stability of Pipes Conveying Fluid with Stochastic Flow Velocity", Studies in Applied Mechanics, Random Vibration Status and Recent Development, eds. I. Elishako and R.H. Lyon, Elsevier, Amsterdam, 1986, pp.1-17.

Selected Articles in Journals

  • Nishanth Lingala, N. Sri Namachchivaya, Nicolas Perkowski and Hoong C Yeong "Par-ticle Filtering in High-Dimensional Chaotic Systems," Chaos: American Institute of Physics, Vol. 22(4), 2012
  • Edwin Kreuzer, N. Sri Namachchivaya, Marc-Andre Pick, and Christian Rapp, "Re-duced Normal Form Approach to Swing Control Crane Systems: Theory and Experi-ments," Cybernetics and Physics, Vol. 1(1), 2012, pp. 42 - 50.
  • N. Sri Namachchivaya and Volker Wihstutz, "Stability of Scalar Stochastic Delay Equations," Stochastics and Dynamics, Vol. 12, No. 1, 2012, pp. 115 - 151.
  • Christian Rapp, Edwin Kreuzer and N. Sri Namachchivaya, "Reduced Normal Forms for Nonlinear Control of Underactuated Hoisting Systems," Archive of Applied Me-chanics, Vol.82, 2012, pp. 297 - 315.
  • Lalit Vedula, N. Sri Namachchivaya and Nishanth Lingala, "Stability of systems with time-periodic delay: application to variable speed boring process," The Journal of Mechanical Engineering Science, Vol. 225(10), 2011, pp. 2296-2311.
  • Hoong Chieh Yeong, Jun H. Park, and N. Sri Namachchivaya, "Particle Filters in a Multiscale Environment: With Application to the Lorenz -96 Atmospheric Model," Stochastics and Dynamics, Vol. 11(3), 2011, pp. 569-591.
  • Lee DeVille, N. Sri Namachchivaya, and Zoi Rapti, "The Asymptotic Stability of a Weakly Perturbed Two Dimensional Non-Hamiltonian System," SIAM Journal of Applied Mathematics Vol. 71, 2011, pp. 1458-1475.
  • Jun H. Park, N. Sri Namachchivaya and Hoong Chieh Yeong "Particle Filters in a Multiscale Environment: Homogenized Hybrid Particle Filter (HHPF)," Journal of Applied Mechanics, Vol. 78(6), 2011, pp. 61001-1 - 61001-10.
  • Lalit Vedula, N. Sri Namachchivaya and Kristjan Onu, "Stochastic Stability of Coupled Oscillators with One Asymptotically Stable and One Critical Mode," Journal of Applied Mechanics, Vol. 78(3), 2011, pp. 1256 -1266.
  • Seunggil Choi, N. Sri Namachchivaya and Kristjan Onu, "Resonant Dynamics of a Periodically Driven Noisy Oscillator," Probabilistic Engineering Mechanics, 26(1), 2011, pp.109-118.
  • Kristjan Onu and N. Sri Namachchivaya, "Stochastic Averaging of Surface Waves", Proceedings of the Royal Society, A Vol. 466, 2010, pp. 2363-2381.
  • Jun H. Park, Richard B. Sowers, and N. Sri Namachchivaya, "Dimensional Reduction in Nonlinear Filtering", Nonlinearity, Vol. 23, 2010, pp. 305-324.
  • N. Sri Namachchivaya, Peter W. Sauer, and Ricard B. Sowers, "Data Assimilation in the Detection of Vortices," Device Applications of Nonlinear Dynamics, 2009, pp. 47-60.
  • Jun H. Park, N. Sri Namachchivaya and Richard B. Sowers, "A Problem in Ho-mogenization of Nonlinear Filters", Stochastics and Dynamics, Vol. 8(3), 2008, pp. 543-560.
  • Jun H. Park, N. Sri Namachchivaya and Natasha Neogi, "Stochastic Averaging and Optimal Prediction", The Journal of Vibration and Acoustics, Vol. 129(6), 2007, pp. 803-808.
  • N. Sri Namachchivaya, David Kok and S. T. Ariaratnam, "Stability of Noisy Nonlinear Auto-parametric Systems", NonlinearDynamics, Vol. 47,2007, pp. 143165.
  • Seunggil Choi, and N. Sri Namachchivaya, "Stochastic Dynamics of a Nonlinear Aeroelastic System", AIAA Journal, Vol. 44(9), 2006, pp. 1921-1931.
  • A. Demir, A. Hasanov, and N. Sri Namachchivaya, "Delay equations with fluctuating delay related to the regenerative chatter," International Journal of Nonlinear Mechanics, Vol. 41(3), 2006, pp. 464-474.
  • A. Demir, A. Hasanov, and N. Sri Namachchivaya, "Delay equations with fluctuating delay related to the regenerative chatter II: analysis of reduced bifurcation equation," Applicable Analysis, Vol. 84(6), 2006, pp. 631-647.
  • A. Demir, A. Hasanov, and N. Sri Namachchivaya, "Delay equations with fluctuating delay related to the regenerative chatter", International Journal of Nonlinear Mechanics, Vol. 41(3), 2006, pp. 464-474.
  • R. J. McDonald and N. Sri Namachchivaya, "Pipes Conveying Pulsating Fluid Near a 0:1 Resonance: Global Bifurcations", Journal of Fluids and Structures, Volume 21(5-7), 2005, pp.665-687.
  • R. J. McDonald and N. Sri Namachchivaya, "Pipes Conveying Pulsating Fluid Near a 0:1 Resonance: Local Bifurcations", Journal of Fluids and Structures, Volume 21(5-7), 2005, pp.629-664.
  • N. Sri Namachchivaya and Jun Park, "Stochastic Dynamics of Impact Oscillators", ASME Journal of Applied Mechanics, Vol. 72(6), 2005, pp. 1256-1266.
  • N. Sri Namachchivaya and N. Ramakrishnan, "Random Perturbations of 1:1-Resonant Systems With SO (2) Symmetry", IMA Journal of Applied Mathematics, Vol. 70(5), 2005, pp.605-625.
  • N. Sri Namachchivaya and H. J. Van Roessel, "Stochastic Stability of Two Coupled Oscillators in Resonance: A Perturbation Approach", ASME Journal of Applied Mechanics, Vol. 71(6), 2004, pp.759-768.
  • N. Sri Namachchivaya and H. J. Van Roessel, "Averaging of Noisy Nonlinear Systems with Rapidly Oscillating and Decaying Components", Nonlinear Dynamics, Vol. 36(2-4), 2004, pp. 329-347.
  • Ludwig Arnold, Peter Imkeller, and N. Sri Namachchivaya, "The Asymptotic Almost-Sure Stability of a Noisy Nonlinear Oscillator", Journal of Sound and Vibration, Vol. 269(3-5), 2004, pp. 1003-1029.
  • N. Sri Namachchivaya and H. J. Van Roessel, "A Center Manifold Analysis of Variable Speed Machining", Journal of Dynamical Systems, Vol. 18(3), 2003, pp. 245-270.
  • N. Sri Namachchivaya, and Beddini, R., "Spindle Speed Variation for the Suppression of Regenerative Chatter", Journal of Nonlinear Science, Vol. 13(3), 2003, pp.265-
  • N. Sri Namachchivaya, and Ramakrishnan, Narayanan "Stochastic Dynamics of Parametrically Excited Two D.O.F. Systems With Symmetry", Journal of Sound and Vibration, Vol. 262(3), 2003, pp. 613-631
  • R. J. McDonald and N. Sri Namachchivaya, "Parametric Stabilization of a Gyroscopic System", Journal of Sound and Vibration, Vol. 255(4) ,2002, 635-662.
  • N. Sri Namachchivaya and R. Sowers, "Rigorous Stochastic Averaging at a Center With Additive Noise",MECCANICA,Vol.37(2),2002,pp.85-114.
  • N. Malhotra, N. Sri Namachchivaya, and R. J. McDonald, "Multi-Pulse Orbits in the Motion of Flexible Spinning Discs",  Journal of Nonlinear Science, Vol. 12(1), 2002, pp.1-26.
  • N. Malhotra, and N. Sri Namachchivaya, "Local Bifurcations in the Motion of Flexible Spinning Discs", Chaos, Solitons and Fractals, Vol. 14(2), 2002, pp. 203-226.
  • W. C. Xie, and N. Sri Namachchivaya, "Nonlinear Dynamics and Stochastic Mechanics-Forward", Chaos, Solitons and Fractals, Vol. 14(2), 2002, pp. 117-118.
  • N. Sri Namachchivaya and R. Sowers, "Unified Approach for Noisy Nonlinear Mathieu-Type Systems", Stochastics & Dynamics, Vol. 1(3), 2001, pp. 405-450.
  • N. Sri Namachchivaya and H. J. Van Roessel, "Moment Lyapunov Exponent for Two Coupled Oscillators Driven by Small Real Noise", ASME Journal of Applied Mechanics, Vol. 68(6), 2001, pp. 903-914.
  • N. Sri Namachchivaya, Richard Sowers and Lalit Vedula, "Nonstandard Reduction of Noisy Duffing-van der Pol Equation", Journal of Dynamical Systems, Vol. 16(3), 2001, pp. 223-245.
  • N. Sri Namachchivaya and Lalit Vedula, "Real Noise Stabilization of Linear Systems: Application to Flow Induced Oscillations", Journal of Dynamics and Stability of Systems, Vol. 15(2), 2000, pp. 185–208.
  • R. McDonald, J. A. Murdouck and N. Sri Namachchivaya, "Normal Forms for Nonlinear Hamiltonian Systems with Weak Periodic Perturbations", Journal of Dynamics and Stability of Systems, Vol. 14, 1999, pp. 187-211.
  • V. Nolan and N. Sri Namachchivaya, "Almost-Sure Stability of Linear Gyroscopic Systems", Journal of Sound and Vibration, Vol. 227(1), 1999, pp. 105-130.
  • W. Nagata and N. Sri Namachchivaya, "Bifurcations in Gyroscopic Systems with application to Rotating Shafts", Proceedings of the Royal Society, Series-A, London pp. 543-585. Vol. 454, 1998.
  • N. Sri Namachchivaya and A. Lee, "Dynamics of Nonlinear Aeroelastic Systems", Journal of Aerospace Engineering, pp. 165-174, Vol. 11(2), 1998.
  • L. Arnold, M. Doyle, and N. Sri Namachchivaya, "Small Noise Expansion of Mo-ment Lyapunov Exponents for Two Dimensional Systems", Journal of Dynamics and Stability of Systems, Vol.12, 1997, pp. 187-211.
  • R. McDonald and N. Sri Namachchivaya, "Global Bifurcations in Periodically Perturbed Gyroscopic Systems with Application to Rotating Shafts", Chaos, Solitons and Fractals, Vol.8 (4), 1997, pp. 613-636.
  • M. Doyle, N. Sri Namachchivaya and H. Van Roessel, "Asymptotic Stability of Structural Systems based on Lyapunov Exponents and Moment Lyapunov Exponents", International Journal of Nonlinear Mechanics, Vol. 32(4), 1997, pp. 681-693.
  • N. Malhotra and N. Sri Namachchivaya, "Chaotic Dynamics of Shallow Arch Structures Under 1:2 Internal Resonance", Journal of Engineering Mechanics, (ASCE), Vol. 123(6), 1997, pp. 620-627.
  • N. Malhotra and N. Sri Namachchivaya, "Chaotic Dynamics of Shallow Arch Structures Under 1:1 Internal Resonance Conditions", Journal of Engineering Mechanics, (ASCE), Vol. 123(6), 1997, pp. 612-619.
  • L. Arnold, N. Sri Namachchivaya and K. Schenk, "Toward an Understanding of Stochastic Bifurcation: Case Study", International Journal of Bifurcation and Chaos, Vol.6 (11), 1996, pp. 1947-1979.
  • N. Sri Namachchivaya and Yan Liang, "P-Bifurcation in the Stochastic Version of the Duffing-van der Pol Equation", Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 76(3), 1996, pp. 231-234.
  • N. Sri Namachchivaya, H. Van Roessel and M. Doyle, "Moment Lyapunov Exponents for Two Coupled Oscillator Driven by Real Noise", SIAM Journal of Applied Mathematics Vol. 56(5), 1996, pp. 1400-1423.
  • O. M. O’Reilly, N. Malhotra and N. Sri Namachchivaya, "Destabilization of the Equilibria of Reversible Dynamical Systems", Nonlinear Dynamics, Vol. 10, 1996, pp. 63-87.
  • S. Talwar, N. Sri Namachchivaya and P. Voulgaris, "Approximate Feedback Linearization: A Normal Form Approach", ASME, Journal of Dynamic Systems, Measurement and Control, Vol. 118, 1996, pp. 201-210.
  • N. Malhotra and N. Sri Namachchivaya, "Global Dynamics of Parametrically Excited Nonlinear with Non-semisimple 1:1 Resonance", Physica D, Vol. 89, 1995, pp. 43-70.
  • N. Sri Namachchivaya, M. M. Doyle and N. K. Malhotra, "Some Aspects of Chaotic and Stochastic Dynamics for Structural Systems", Sadhana Journal of the Indian Academy of Sciences, Vol. 20, 1995, pp.583-614.
  • N. Malhotra and N. Sri Namachchivaya, "Externally Excited Two Degree of Freedom Coupled Nonlinear Oscillators", Nonlinear Dynamics, Vol. 8, 1995, pp. 85-109.
  • O. M. O’Reilly, N. Malhotra and N. Sri Namachchivaya, "Reversible Dynamical Systems: Dissipation-Induced Destabilization and Follower Forces", Applied Mathematics and Computation, Vol. 70, 1995, pp.273-282.
  • M. M. Doyle and N. Sri Namachchivaya, "Almost-Sure Asymptotic Stability of a General Four-Dimensional System Driven by Real Noise", Journal of Statistical Physics, Vol. 75 (3/4), 1994, pp.525-555.
  • Win-Min Tien, N. Sri Namachchivaya and N. Malhotra, "Nonlinear Dynamics of a Shallow Arch with External and 1:1 Internal Resonances", International Journal of Nonlinear Mechanics, Vol. 29(3), 1994, pp. 367-386.
  • Win-Min Tien, N. Sri Namachchivaya and Anil K. Bajaj, "Nonlinear Dynamics of a Shallow Arch with External and 1:2 Internal Resonances", International Journal of Nonlinear Mechanics, Vol. 29 (3), 1994, pp. 349-366.
  • N. Sri Namachchivaya, Monica M. Doyle, W. F. Langford and Nolan W. Evans, "Normal Form for Generalized Hopf Bifurcation with Non-Semisimple 1:1 Resonance", Journal of Applied Mathematics and Physics (ZAMP), Vol. 45, 1994, pp. 312-335.
  • N Sri Namachchivaya, H. J. Van Roessel and S. Talwar, "Asymptotic Analysis of the Lyapunov Exponent and Rotation Number for Coupled Two Degrees of Freedom Stochastic Systems", Journal of Applied Mechanics (ASME), Vol. 61, 1994, pp.446-
  • N. Sri Namachchivaya and S. Talwar, "Maximal Lyapunov and Rotation Numbers for Co-Dimension Two Stochastic Bifurcation", Journal of Sound and Vibration, Vol .169(3), 1993, pp. 349-372.
  • Win-Min Tien, N. Sri Namachchivaya and V. T. Coppola, "Stochastic Averaging Using Elliptic Functions to Study Nonlinear Stochastic Systems", International Journal of Nonlinear Dynamics, Vol.4, 1993, pp. 373-387.
  • N. Sri Namachchivaya and H. J. Van Roessel, "Maximal Lyapunov Exponent and Rotation Numbers for Two Coupled Oscillators Driven by Real Noise”, Journal of Statistical Physics, Vol. 71(3/4), 1993, pp.223-243.
  • G. S. B. Leng, N. Sri Namachchivaya and S. Talwar, "Robustness of Nonlinear Systems Perturbed by External Random Excitation", Journal of Applied Mechanics (ASME), Vol. 59(4), 1992, pp.123-136.
  • N. Sri Namachchivaya and Y. K. Lin, "Method of Stochastic Normal Forms", International Journal of Nonlinear Mechanics, Vol. 26(6), 1991, pp.931-943.
  • N. Sri Namachchivaya, "Almost-Sure Stability of Dynamical Systems Under Combined Harmonic and Stochastic Excitations", Journal of Sound and Vibration, Vol. 15(1), 1991, pp.77-90.
  • G. S. B. Leng and N. Sri Namachchivaya, "Critical Mode Interaction in the Presence of External Random Excitation", AIAA Journal of Guidance, Control and Dynamics, Vol. 14(4), 1991, pp.770-777.
  • N. Sri Namachchivaya and J. E. Prussing, "Almost-Sure Asymptotic Stability of Rotor Blade Flapping Motion in Forward Flight in Turbulent Flow", Journal of Probabilistic Engineering Mechanics, Vol. 6(1), 1991, pp.2-9.
  • N. Sri Namachchivaya, "Co-Dimension Two Bifurcation in the Presence of Noise", Journal of Applied Mechanics, (ASME), Vol. 58(1), 1991, pp.259-265.
  • N. Sri Namachchivaya and Win-Min Tien, "Stochastically Excited Linear Nonconservative Systems", Journal of Mechanics of Structures and Machines, Vol. 18(4), 1990, pp. 459-482.
  • N. Sri Namachchivaya and G. S. B. Leng, "Equivalence of Stochastic Averaging and Stochastic Normal Forms", Journal of Applied Mechanics (ASME), Vol. 57(4), 1990, pp. 1011-1017.
  • N. Sri Namachchivaya, "Stochastic Bifurcations", Journal of Applied Mathematics and Computations, Vol. 38, 1990, pp. 101-159.
  • N. Sri Namachchivaya and H. J. Van Roessel, "Unfolding of Bifurcations Associated with Double Zero Eigenvalue for Supersonic Flow Pasta Pitching Wedge", Journal of Guidance, Control and Dynamics, Vol. 13(2), 1990, pp. 343-347.
  • N. Sri Namachchivaya, "Instability Theorem Based on the Nature of Boundary Behavior for One Dimensional Diffusion", Solid Mechanics Archives, Vol. 14(3-4), 1989, pp. 225-236.
  • H. H. Hilton and N. Sri Namachchivaya, "Effects of Noise in Nonlinear Systems Exhibiting Simple Bifurcation," Journal of Structural Safety, Vol. 6(2), 1989, pp. 211-221.
  • N. Sri Namachchivaya and Win-Min Tien, "Bifurcation Behavior of Nonlinear Pipes Conveying Pulsating Flow", Journal of Fluids and Structures, Vol. 3(4), 1989, pp. 609-629.
  • N. Sri Namachchivaya, "Mean Square Stability of a Rotating Shaft Under Combined Harmonic and Stochastic Excitations", Journal of Sound and Vibration, Vol. 132(2), 1989, pp. 301-314.
  • N. Sri Namachchivaya and Win-Min Tien, "Nonlinear Dynamics of Supported Pipe Conveying Pulsating Fluid, Part II: Combination Resonance", International Journal of Nonlinear Mechanics, Vol. 24(3), 1989, pp. 197-209.
  • N. Sri Namachchivaya, "Nonlinear Dynamics of Supported Pipe Conveying Pulsating Fluid, PartI: Subharmonic Resonance", International Journal of Nonlinear Mechanics, Vol. 24(3), 1989, pp. 185-196.
  • N. Sri Namachchivaya, "Hopf Bifurcations in the Presence of Both Parametric and External Stochastic Excitations," Journal of Applied Mechanics, (ASME), Vol. 55(4), 1988, pp. 923-930.
  • N. Sri Namachchivaya and Y.K. Lin, "Application of Stochastic Averaging for Systems with High Damping", Journal of Probabilistic Engineering Mechanics, Vol. 3(3), 1988, pp. 159-167.
  • N. Sri Namachchivaya and S.T. Ariaratnam, "Stochastically Perturbed Hopf Bifurcations", International Journal of Nonlinear Mechanics, Vol. 22(5), 1987, pp. 363-372.
  • N. Sri Namachchivaya, "Stochastic Stability of a Gyro-pendulum Under Random Vertical Support Excitation", Journal of Sound and Vibrations, Vol. 119(2), 1987, pp. 363-373.
  • N. Sri Namachchivaya and S.T. Ariaratnam, "Periodically Perturbed Hopf Bifurcation," SIAM Journal of Applied Mathematics, Vol. 47(1), 1987, pp. 15-39.
  • N. Sri Namachchivaya and S.T. Ariaratnam, "Stochastically Perturbed Linear Gyroscopic Systems," Journal of Mechanics, Structures and Machines, Vol. 15(3), 1987, pp. 323-345.
  • N. Sri Namachchivaya and H.J. VanRoessel, "Unfolding of Degenerate Hopf Bifurcation for Supersonic Flow Pasta Pitching Wedge," Journal of Guidance, Control and Dynamics, 1986, Vol. 9(4), pp. 413-418.
  • N. Sri Namachchivaya and S.T. Ariaratnam, "Nonlinear Stability of Aircraft at High Angles of Attack," International Journal of Nonlinear Mechanics, 1986, Vol. 21(3), pp. 217-228.
  • S.T. Ariaratnam and N. Sri Namachchivaya, "Periodically Perturbed Nonlinear Gyroscopic Systems", Journal of Structural Mechanics, 1986, Vol. 14(2), pp. 153-175.
  • S.T. Ariaratnam and N. Sri Namachchivaya, "Periodically Perturbed Linear Gyroscopic Systems," Journal of Structural Mechanics, 1986, Vol. 14(2), pp. 127-151.
  • S.T. Ariaratnam and N. Sri Namachchivaya, "Dynamic Stability of Pipes Conveying Pulsating Flow", Journal of Sound and Vibration, 1986, Vol. 107(2), pp. 215-230.
  • N. Sri Namachchivaya, S.T. Ariaratnam, "On the Dynamic Stability of Gyroscopic Systems", Solid Mechanics Archives, 1985, Vol. 10, p. 313-355.

Pending Articles

  • Nishanth Lingala, N. Sri Namachchivaya and Kristjan Onu, "Random Vibration of a Nonlinear Autoparametric System," Journal of Nonlinear Science, (submitted).

Journal Editorships

  • Guest Co-Editor, Journal of Structural Safety, (November 1989)
  • Guest Co-Editor, Chaos, Solitons and Fractals, (August 2002)
  • Editorial board, International Journal of Nonlinear Dynamics, (1995-1998)
  • Editorial board, MECCANICA, Kluwer Academic Publishers, (1998-2004)
  • Editorial board, Journal Nonlinear Studies, I&S Publishers, (2001-2008)
  • Associate Editor, Journal of Applied Mechanics, American Society of Mechanical Engineers, (2003-2010)
  • Editorial board, International Journal of Mathematics in Engineering, Science and Aerospace, I&S Publishers, (2008-present).
  • Editorial board, Book Series on Stochastic Dynamics, Co-published by SIAM (USA) and Higher Education Press (China), (2011-present)
  • Editorial board, Stochastics and Dynamics, World Scientific, (2000-present)
  • Editorial board, Journal of Nonlinear Science, Springer-Verlag, (1997-present)

Professional Societies

  • Member, Society for Industrial and Applied Mathematics (SIAM) Activity Group on Dynamical Systems (1994–1997)
  • Member, Society for Industrial and Applied Mathematics (SIAM) (1993–1997)
  • Member, American Institute of Aeronautics and Astronautics (AIAA)(1987–1990)
  • Member, American Society of Mechanical Engineers (1987–present)
  • Member of Fluid and Structure Interaction Technical Subcommittee, ASME (1987–present)
  • Member of Applied Mechanics Subcommittee on Dynamics of Structures and Systems, ASME (1990–present)
  • Secretary, Applied Mechanics Subcommittee on Dynamics of Structures and Sys-tems, ASME (1995–1997)
  • Chair, Applied Mechanics Subcommittee on Dynamics of Structures and Systems, American Society of Mechanical Engineers (ASME),(1997–1999)
  • Chair, IUTAM-Scientific Committee on Nonlinear Stochastic Dynamics (2000–2002)
  • Member,IUTAM Scientific Committee on New Applications of Nonlinear and Chaotic Dynamics in Mechanics (1994–1997)
  • Member, Scientific Committee, International Symposium on Dynamics and Control (Hanoi) (2010-2011)
  • Member, Scientific Committee, IUTAM Symposium on 50 Years of Chaos: Applied and Theoretical, Kyoto University, Kyoto, Japan (2010-2011)
  • International Union of Theoretical and Applied Mechanics (IUTAM)
  • Mathematisches Forschungs institute Oberwolfach Member, Scientific Committee on Nonlinear and Stochastic Systems (1998 & 2002)

Teaching Honors

  • Dean's Scholarship Awarded by the Faculty of Engineering, University of Waterloo (1979-1981)
  • University of Waterloo Graduate Fellowship (1982-1984)
  • Keynote Lecture on "Stochastic Dynamics", IUTAM Symposium on Nonlinearity and Chaos in Engineering Dynamics, London, UK (1993)
  • Southwest Mechanics Lecture Series Lecturer for Spring 99: 5 Universities, The University of Oklahoma, University of Texas, Southern Methodist University, University of Houston, Tulane University (1999)
  • Keynote Lecture on "Stochastic Stability and Bifurcation", International Conference on Stochastic and Chaotic Dynamics, Ambleside, UK (August 1999)
  • Keynote Lecture on "Nonlinear Dynamics of Gyroscopic and Aeroelastic Systems", International Conference on Analysis of Vibrating Systems, Ban., Canada (September 1999)
  • Keynote Lecture on "Nonstandard Reduction and Analysis of Noisy Mechanical Systems", International Workshop on Symmetry and Stability in Nonlinear Mechanics, Budapest, Hungary (July 2000)
  • Keynote Lecture on "Data Assimilation in the Detection of Vortices", ICAND 2007 Conference on Device Applications of Nonlinear Dynamics, Kauai, Hawaii (September 2007)
  • Keynote Lecture on "Potpourri of Problems in Multi-scale Random Dynamical System", MITACS Workshop on Methodology of Validation and Verification, Banff, Canada (April 2008)
  • Keynote Lecture on "Multiscale dynamics and information: from data assimilation to stabilization by noise", Random Dynamics Conference, Penn State, University Park, PA (October, 2009)

Research Honors

  • University of Waterloo Graduate Fellowship (1982-84)
  • Xerox Award for Oustanding Faculty Research (1989)
  • Presidential Young Investigator Award (awarded by President George H.W. Bush and administered by the National Science Foundation) (1990)
  • Visiting Scientist Award, Fields Institute for Research in Mathematical Sciences, Canada (1993)
  • Senior Xerox Award for Oustanding Faculty Research (1993)
  • Distinguished University Visiting Professor, Technical University of Vienna, Vienna, Austria (June-July 1997)
  • Schmidt Distinguished Visiting Professor of Engineering, Florida Atlantic University, Boca Raton, Florida (January 1998)
  • Fellow, American Society of Mechanical Engineers (ASME)
  • MSRI Research Professorship, Mathematical Sciences Research Institute, University of California, Berkeley, CA (January-June 2007)
  • Distinguished University Visiting Professor, Hamburg University of Technology, Hamburg, Germany (March - June 2010)
  • Russell Severance Springer Professorship, Mechanical Engineering, University of California, Berkeley, CA (February - April 2011)

Public Service Honors

  • Fellow, American Society of Mechanical Engineers (ASME) (2009)

Other Honors

  • Faculty of Engineering Award for Outstanding Academic Performance, Universitiy of Waterloo, Canada (1984)