Song, M., Segala, D.B., Chelidze, D. and Dingwell, J.B., 2009, "Slow-time changes in human muscle fatigue are fully represented in movement kinematics," Journal of Biomechanical Engineering, Vol. 131, 021004(1--11). (doi:10.1115/1.3005177)

Liu, M. and Chelidze, D., 2008, "Atomic force microscope based on chaotic motion," Ref. No.: NLM-D-07-00195, International Journal of Non-linear Mechanics, Vol. 43, No. 6, pp. 521–-526. (doi:10.1016/j.ijnonlinmec.2008.03.001)

Zhou, W. and Chelidze, D., 2008, "Generalized eigenvalue decomposition in time domain modal parameter identification," Journal of Vibration & Acoustics, Vol. 130, No. 1, pp. 011001(1--6). (doi:10.1115/1.2775509)

Chelidze, D. and Liu, M., 2008, "Reconstructing slow-time dynamics from fast-time measurements," Invited paper, Philosophical Transaction of the Royal Society A, Vol. 366, pp. 729--7445. (doi:10.1098/rsta.2007.2124)

Zhou, W. and Chelidze, D., 2007, "Blind source separation based vibration modal identification," Mechanical Systems & Signal Processing, Vol. 21, No. 6, pp. 3072--3087. (doi:10.1016/j.ymssp.2007.05.007)

Dingwell, J., Napolitano, D.F., and Chelidze, D., 2006, "A nonlinear approach to tracking slow-time-scale changes in movement kinematics," Journal of Biomechanics, Vol. 40, pp. 1629--1634. (doi:10.1016/j.jbiomech.2006.06.019)

Liu, M. and Chelidze, D., 2006, "Identifying damage using local flow variation method," Smart Materials & Structures, Vol. 15, No. 6, pp.1830--1836. (doi:10.1088/0964-1726/15/6/037)

Chelidze, D. and Cusumano, J.P., 2006, "Phase Space Warping: Nonlinear Time Series Analysis for Slowly Drifting Systems," Philosophical Transactions of the Royal Society A, Vol. 364, pp. 2495-–2513. (doi:10.1098/rsta.2006.1837)

Chelidze, D. and Liu, M., 2006, "Multidimensional damage identification based on phase space warping: an experimental study," Nonlinear Dynamics, Vol. 46, No. 1-2, pp. 61--72. (doi:10.1007/s11071-005-9007-7)

Chelidze, D. and Zhou, W., 2006, "Smooth orthogonal decomposition based modal analysis," Journal of Sound and Vibration, Vol. 292, No. 3-5, pp. 461--473. (doi:10.1016/j.jsv.2005.08.006)

Chelidze, D. and Liu, M., 2005, "Dynamical Systems Approach to Fatigue Damage Identification," Journal of Sound and Vibration, Vol. 281, No. 3-5, pp. 887--904. (doi:10.1016/j.jsv.2004.02.017)

Chelidze, D., 2004, "Identifying Multidimensional Damage in a Hierarchical Dynamical System," Nonlinear Dynamics, Vol. 37, No. 4, pp. 307--322. (doi:10.1023/B:NODY.0000045546.02766.ad)

Chelidze, D., and Cusumano, J.P., 2004, "A Dynamical Systems Approach to Failure Prognosis," Journal of Vibration & Acoustics, Vol. 126, No. 1., pp. 1--7. (doi:10.1115/1.1640638)

Chelidze, D., Cusumano, J.P., and Chatterjee, A., 2002, "Dynamical Systems Approach to Damage Evolution Tracking, Part 1: Description and Experimental Application," Journal of Vibration & Acoustics, Vol. 124, No. 2, pp. 250--257. (doi:10.1115/1.1456908)

Cusumano, J.P., Chelidze, D., and Chatterjee, A., 2002, "Dynamical Systems Approach to Damage Evolution Tracking, Part 2: Model-Based Validation and Physical Interpretation," Journal of Vibration & Acoustics, Vol. 124, No. 2, pp.258--264. (doi:10.1115/1.1456907)

Chatterjee, A., Cusumano, J. P., and Chelidze, D., 2002, "Optimal Tracking of Parameter Drift in a Chaotic System: Experiment and Theory," Journal of Sound & Vibration, Vol. 250, No. 5, pp. 877--901. (doi:10.1006/jsvi.2001.3963)

Song, M., Segala, D.B., Dingwell, J.B. and Chelidze, D., 2007, "Slow-time changes in human muscle fatigue are fully represented in movement kinematics," ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, September 4--7, 2007, Las Vegas, Nevada, USA.

Liu, M. and Chelidze, D., 2007, "Chaotic Atomic-Force Microscope," 21st Canadian Congress of Applied Mechanics, Toronto, Ontario, Canada June 3--7, 2007.

Chelidze, D., 2007, "Nonlinear Model Reduction Based on Smooth Orthogonal Decomposition," Proceedings of IASTED International Conference on Modern Nonlinear Theory, Montreal, Quebec, Canada, May 30 -- June 1, 2007.

Zou, W. and Chelidze, D., 2006, "Generalized eigenvalue decomposition in time domain modal parameter identification," Proceedings of Proceedings of IMECE2006: 2006 ASME International Mechanical Engineering Congress and Exposition, November 5--10, 2006, Chicago, Illinois, US.

Liu, M. and Chelidze, D., 2005, "Local flow variation method
for damage identification," Proceedings of IDETC/CIE 2005, ASME
2005 International Design Engineering Technical Conferences &
Computers and Information in Engineering Conference, Long Beach,
California, USA, September 24-28, 2005, DETC2005-85142, 6 pp. on
CD-ROM.

Zhou, W. and Chelidze, D., 2005, "A new method for vibration
mode analysis," Proceedings of IDETC/CIE 2005, ASME 2005
International Design Engineering Technical Conferences & Computers
and Information in Engineering Conference, Long Beach, California,
USA, September 24-28, 2005, DETC2005-85138, 7 pp. on CD-ROM.

Liu, M. and Chelidze, D., 2005, "Flow variance method for damage identification," Proceedings of SPIE, 5764, Smart structures and Materials 2005 - Smart Structures and Integrated Systems, San Diego, California, March 6--10, 2005, pp. 553--558.

Chelidze, D. and Liu, M., 2004, "Phase space warping based multi-modal damage identification: an experimental study," Proceedings of 2004 ASME International Mechanical Engineering Congress, Anaheim, California, USA, Novembers 13-19, 2004, IMECE2004-60246.

Chelidze, D. and Liu, M., 2003, "Multidimensional Hidden Slow Variable Tracking in a Hierarchical Dynamical System," Identification of Mechanical Systems, the Proceedings of the 2003 ASME International Mechanical Engineering Congress and Exposition, Washington, DC, November 16--21, 2003, DSC-72(2), pp. 1079--1086.

Chelidze, D., 2003, "A Dynamical Systems Approach to Material Damage Diagnosis,'' System Identification and Reduced Order Modeling With Applications to Linear and Nonlinear Systems, the Proceedings of the 19th Biennial Conference on Mechanical Vibration and Noise ASME 2003 Design Engineering Technical Conferences, Chicago, IL, September 2--6, 2003, 5 B, pp. 1263--1270.

Chelidze, D., Cusumano, J. P., and Chatterjee, A., 2001, "Failure Prediction Using Nonlinear Short-Time Prediction and Multi-Time Scale Recursive Estimation," the Proceedings of the 2001 ASME Design Engineering Technical Conferences, 18th Biennial Conference on Mechanical Vibration and Noise, September 9--12, 2001, Pittsburgh, Pennsylvania, DETC2001/VIB-21407.

Chelidze, D., Cusumano, J. P., and Chatterjee, A., 1999, "Hidden Variable Tracking: Formulation and Analysis of a Mathematical Model," the Proceedings of the 1999 ASME Design Engineering Technical Conferences, 17th Biennial Conference on Mechanical Vibration and Noise, September 12--16, Las Vegas, Nevada, DETC99/VIB-8358, pp. 2769--2779.

Chatterjee, A., Cusumano, J. P., and Chelidze, D., 1998, "Tracking Parameter Drift in a Vibro-Impact System," the Proceedings of International Symposium on Impact and Friction of Solids, Structures and Intelligent Machines, June 27--30, 1998, Ottawa, Ontario, Canada, pp. 159--162.

Cusumano, J. P., Chelidze, D., and Chatterjee, A., 1997, "Experimental Application of a Method for Hidden Parameter Tracking in a Slowly Changing, Chaotic System," Emerging Technologies for Machinery Health Monitoring and Prognosis, Cowan, R. S., ed., Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exhibition, November 16--21, Dallas, TX, TRIB-Vol. 7, pp. 45--54.

Cusumano, J. P., Chelidze, D., and Hecht, N. K., 1997, "Using Phase Space Reconstruction to Track Parameter Drift in a Nonlinear System," Proceedings of the ASME Design Engineering Technical Conferences, 16th Biennial Conference on Mechanical Vibrations and Noise, September 14--17, Sacramento, CA, DETC97/VIB-4012, 7 pp. on CDROM.

Chelidze, D., Cusumano, J. P., and Hecht, N. K., 1997, "Hidden Parameter Tracking Using Delay Coordinate Embedding," Burroughs, C. B., ed., Proceedings of NOISE-CON97 The 1997 National Conference on Noise Control Engineering, Joint 133rd Meeting of the ASA and Institute of Noise Control Engineering, June 15--17, State College, PA, Book 1, pp. 525--530.

Chelidze, D., Farhang, K., and Selstad, T.J., 1995, "Vibration Response and Parametric Stability in Beams with Combined Quadratic and Cubic Nonlinearities," Vibration of Nonlinear, Random and Time-Varying Systems, DE-Vol. 84-1, pp. 31--42.

Selstad, T.J., Farhang, K., and Chelidze, D., 1995, "Vibration Control of a Beam Embedded with an Electrorheological Fluid," Vibration of Nonlinear, Random and Time-Varying Systems, DE-Vol. 84-1, pp. 415--424.

Chelidze, D., 2008, "Phase Space Warping and Smooth Orthogonal Decomposition Based Diagnosis and Prognosis of Machines and Humans," Poster, NSF CMMI Engineering Research & Innovation Conference, Knoxville, TN, January 7--10, 2008.

Dingwell, J.B., Song, M., Segala, D.B. and Chelidze, D., 2007, "Tracking slow-time-scale changes in human muscle fatigue from movement kinematics," Symposium on Musculoskeletal Biomechanics, 44th Annual Technical Meeting Society of Engineering Science, October 21–-24, 2007.

Dingwell, J.B., Song, M., Segala, D.B. and Chelidze, D., 2007, "Predicting slow changes in muscle fatigue from kinematics," Annual Meeting of the American Society of Biomechanics, August 22--25, 2007, Stanford University in Stanford, California.

Zou, W. and Chelidze, D., 2007, "Blind Source Separation Based Vibration Mode Identification," IMAC XXV Conference, Rosen Shingle Creek Resort and Golf Club Orlando, Florida, February 19--22, 2007.

Dingwell, J. B., Napolitano, D. F., and Chelidze, D., 2006, "Tracking slow-time-scale changes in human locomotion," Proceedings of the 5th World Congress of Biomechanics, July 29 -- August 6, 2006, Munich, Germany.

Dobrot, L. and Chelidze, D., 2006, "Damage identification based on transitional probabilities," 11th conference on nonlinear vibrations, stability, and dynamics of structures, August 13-16, 2006, Blacksburg, VA.

Liu, M. and Chelidze, D., 2006, "A new type atomic force microscope based on chaotic motions,'' 11th conference on nonlinear vibrations, stability, and dynamics of structures, August 13-16, 2006, Blacksburg, VA.

Chelidze, D. and Lugmair, M., 2006, "Damage tracking in variable environmental conditions," Thirteenth International Congress on Sound and Vibration (ICSV13), July 2--6, 2006, Vienna, Austria.

Zhou, W. and Chelidze, D., 2006, "Modal parameter extraction for continuous vibration system," 2006 SEM Annual Conference & Exposition, June 4--7, 2006, St. Louis, Missouri.

Liu, M. and Chelidze, D., 2006, "Identifying fatigue damage under varying environmental conditions," 2006 SEM Annual Conference & Exposition, June 4--7, 2006, St. Louis, Missouri.

Liu, M. and Chelidze, D., 2006, "A new type atomic force microscope based on chaotic motions," 2006 SEM Annual Conference & Exposition, June 4--7, 2006, St. Louis, Missouri.

Chelidze, D. and Liu, M., 2005, "A slow-time phase space reconstruction based on a smooth orthogonal decomposition," Symposium on Dynamics, Recent Advances in Nonlinear Mechanics, The Institute of Mathematics and its Applications, Aberdeen, Great Britain, August 31 -- September 1, 2005.

Chelidze, D., 2005, "Smooth orthogonal decomposition based model
reduction," Reduced-order modeling, ENOC-2005, fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, August 7--12, 2005.

Chelidze, D., Liu, M., Napolitano, D.F., and Dingwell, J.B., 2005, ''Smooth orthogonal decomposition based reconstruction of a slow-time phase space trajectory," Time series and reconstruction, ENOC-2005, fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven, The Netherlands, August 7--12, 2005, 8 pp. on CD-ROM.

Dingwell, J.B., Napolitano, D.F., and Chelidze, D., 2005, "Tracking slow-time-scale changes in movement coordination," Proceedings of the XXth Congress of the International Society of Biomechanics, Cleveland, OH, August 1-5, 2005, pg. 410.

Chelidze, D., and Liu, M., 2005, "Slow-time damage trajectory reconstruction based on smooth orthogonal decomposition," MS64: Nondestructive system health monitoring, SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May 22--26, 2005.