Chai Wah Wu



Addresses : 


	IBM Thomas J. Watson Research Center
 
	P. O. Box 218, Yorktown Heights, NY 10598, USA

       	 + 1 914 945 3168 

	E-mail: chaiwah@watson.ibm.com

Topics of Interest

Present Projects

Résumé

Chai Wah Wu received the B.S. degree in computer engineering and the B.A. degree in cognitive science from Lehigh University, Bethlehem, PA, USA in 1990, the M.S. degree and Ph.D. degree in electrical engineering and the M.A. degree in mathematics from the University of California, Berkeley, CA, USA in 1991, 1995 and 1994 respectively. He is presently a research staff member at IBM T. J. Watson Research Center in Yorktown Heights, NY, USA.

Chai Wah is a Fellow of the IEEE and an associate editor for IEEE Transactions on Circuits and Systems, Part I. He has published over 50 journal papers on Cellular Neural Networks, nonlinear discrete-time systems, chaotic synchronization and chaotic communication systems, digital halftoning and digital watermarking.

PUBLICATIONS

Press Articles

  1. IBM Research Magazine, article about digital halftoning at IBM.

Computer Software

  1. M. P. Kennedy and C. W. Wu, ``ABC: Adventures in Bifurcation and Chaos'', software accompanying Chua's circuit: A paradigm for Chaos (R. N. Madan, ed.), World Scientific, Singapore, 1993.

Books

  1. C. W. Wu, Synchronization in coupled chaotic circuits and systems, World Scientific, Singapore, 2002.

Book Chapters

  1. C. W. Wu, ``Synchronization in Arrays of Coupled Chaotic Circuits and Systems: Theory and Applications,'' in Controlling Chaos and Bifurcations in Engineering Systems (G. Chen ed.), CRC Press, Boca Raton, 1999.
  2. C. W. Wu, ``Qualitative Analysis of Dynamic Circuits,'' in Encyclopedia of Electrical and Electronics Engineering (J. Webster ed.), John Wiley & Sons, New York, 1999.

Conference Publications

  1. J. L. Mitchell, G. Thompson, C. W. Wu, T. J. Trenary, Y. Qiao, ``Multilevel Color Halftoning,'' The 9th Color Imaging Conference, Scottsdale, AZ, 2001.
  2. C. W. Wu, C. P. Tresser, G. R. Thompson, Mikel J. Stanich, ``Supercell dither masks with constrained blue noise interpolation,'' IS&T's NIP17: International Conference on Digital Printing Technologies, Fort Lauderdale, FL, 2001, pp. 487-490.
  3. C. W. Wu, ``Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion and observer design,'' IEEE International Symposium on Circuits and Systems, Sydney, Australia, 2001, pp. III-692-695.
  4. C. W. Wu, ``Simple three oscillator universal probes for determining synchronization stability in coupled arrays of oscillators,'' IEEE International Symposium on Circuits and Systems, Sydney, Australia, 2001, pp. III-261-264.
  5. R. L. Adler, B. Kitchens, M. Martens, A. Nogueira, C. P. Tresser and C. W. Wu, ``Error bounds for error diffusion and related digital halftoning algorithms,'' IEEE International Symposium on Circuits and Systems, Sydney, Australia, 2001, pp. II-513-516.
  6. G. W. Braudaway, F. Mintzer, J. M. Socolofsky, C. Tresser, C. W. Wu, ``Application of invisible image watermarks to produce remotely printed, duplication resistant, and demonstrably authentic documents,'' IS&T/SPIE's International Symposium on Electronic Imaging: Science and Technology, San Jose, CA, vol. 4314, pp. 351-359, 2001.
  7. C. W. Wu, ``Limitations and requirements of content-based multimedia authentication systems,'' IS&T/SPIE's International Symposium on Electronic Imaging: Science and Technology, San Jose, CA, 2001, vol. 4314, pp. 241-252.
  8. R. L. Adler, B. Kitchens, M. Martens, A. Nogueira, C. P. Tresser and C. W. Wu, ``Error bounds for error diffusion and other mathematical problems arising in digital halftoning,'' IS&T/SPIE's International Symposium on Electronic Imaging: Science and Technology, San Jose, CA, 2000, vol. 3963, pp. 437-443.
  9. A. D. Kalvin, R. L. Adler, J. Y. Margulies, C. P. Tresser, and C. W. Wu, ``3D visualization of the scoliotic spine: longitudinal studies, data acquisition, and radiation dosage constraints,'' SPIE's International Symposium on Medical Imaging, San Diego, CA, 1999.
  10. D. Coppersmith, F. Mintzer, C. Tresser, C. W. Wu, and M. M. Yeung, ``Fragile Imperceptible Digital Watermark with Privacy Control,'' IS&T/SPIE's International Symposium on Electronic Imaging: Science and Technology, San Jose, CA, 1999, vol. 3657, pp. 79-84.
  11. C. W. Wu, ``Global Synchronization in coupled map lattices,'' 1998 IEEE International Symposium of Circuits and Systems, Monterey, CA, pp. III-302-305, 1998.
  12. C. W. Wu, ``Synchronization in an array of chaotic circuits coupled via hypergraphs: static and dynamic coupling,'' 1998 IEEE International Symposium of Circuits and Systems, Monterey, CA, pp. III-287-290, 1998.
  13. A. R. Conn, R. A. Haring, C. Visweswariah, and C. W. Wu, ``Circuit Optimization via Adjoint Lagrangians'', 1997 IEEE/ACM International Conference on Computer Aided Design, pp. 281-288, 1997.
  14. T. Yang, L. B. Yang, C. W. Wu, and L. O. Chua, ``Fuzzy cellular neural networks: applications,'' Fourth IEEE International Workshop on Cellular Neural Networks and their Applications, Seville, Spain, pp. 225-230, 1996.
  15. T. Yang, L. B. Yang, C. W. Wu, and L. O. Chua, ``Fuzzy cellular neural networks: theory,'' Fourth IEEE International Workshop on Cellular Neural Networks and their Applications, Seville, Spain, pp. 181-186, 1996.
  16. G-Q. Zhong, C. W. Wu, and L. O. Chua, ``Bi-directional secure communication via synchronized Chua's circuits,'' Proceedings of the 1995 International Symposium on Nonlinear Theory and its Applications (NOLTA '95), Las Vegas, USA, pp. 141-144, 1995.
  17. L. Kocarev, C. W. Wu, L. O. Chua, Z. Galias, and M. Ogorzalek, ``Chaos in digital filters: a global picture,'' in Systems and Networks: Mathematical Theory and Applications, Proceedings of the International Symposium MNTS '93, Regensburg, Germany, August 2-6, 1993 (U. Helmke, R. Mennicken, and J. Saurer, eds.), pp. 287-290, Akademie Verlag, Berlin, 1994.
  18. C. W. Wu and L. Pivka, ``From Chua's circuit to Chua's oscillator: A picture book of attractors,'' in Nonlinear Dynamics of Electronic Systems: Proceedings of the Workshop NDES '93, Dresden, Germany, 23-24 July 1993 (W. Schwarz and A. C. Davis, eds.), pp. 15-79, World Scientific, Singapore, 1994.

Journal Publications

  1. C. W. Wu, ``Multiple Images Viewable on Twisted-nematic Mode Liquid Crystal Displays,'' submitted for publication.
  2. C. W. Wu, ``Synchronization in Coupled Arrays of Chaotic Oscillators with Nonreciprocal Coupling,'' submitted for publication.
  3. C. W. Wu, ``Simple Three Oscillator Universal Probe for Determining Synchronization Stability in Coupled Arrays of Oscillators,'' submitted for publication.
  4. C. W. Wu, ``On the Design of Content-Based Multimedia Authentication Systems,''  to appear in IEEE Transactions on Multimedia.
  5. C. W. Wu, ``On Nonlinear Dynamical Systems Topologically Conjugate to Jerky Motion via a Linear Transformation,'' to appear in Physics Letters A.
  6. C. W. Wu, ``Multimedia Data Hiding and Authentication via Halftoning and Coordinate Projection,''EURASIP Journal on Applied Signal Processing, vol. 2002, no. 2, pp. 143-151.
  7. C. W. Wu, ``Synchronization in Arrays of Coupled Nonlinear systems: Passivity, Circle Criterion and Observer Design,'' IEEE Transactions on Circuits and Systems-I, vol. 48, no. 10, pp. 1257-1261, 2001.
  8. J. Y. Margulies, R. L. Adler, A. D. Kalvin, M. Martens, M. Shub, C. P. Tresser, C. W. Wu, ``Deforming Factors in Idiopathic Scoliosis: a Mathematical Tool'', SPINE: State of the Art Reviews, vol. 14, no. 2, pp. 505-509, May 2000.
  9. C. W. Wu, ``Synchronization in Arrays of Chaotic Circuits Coupled via Dynamic Coupling Elements'', International Journal of Bifurcation and Chaos, vol. 10, no. 4, pp. 819-827, 2000.
  10. N. J. Balmforth, A. Provenzale, E. A. Spiegel, M. Martens, C. Tresser, C. W. Wu, ``Red Spectra from White and Blue Noise'', Proceedings of the Royal Society: Biological Sciences, vol. 266, no. 1416, pp. 311, 1999.
  11. L. O. Chua, C. W. Wu, G-Q. Zhong, L. F. Liu, ``Synthesizing Arbitrary Driving-Point and Transfer Characteristics'', IEEE Transactions on Circuits and Systems, Part I, vol. 45, no. 12, pp. 1225-1232, 1998.
  12. A. R. Conn, P. K. Coulman, R. A. Haring, G. L. Morrill, C. Viswewariah, C. W. Wu, ``JiffyTune: Circuit Optimization Using Time-Domain Sensitivities,'' IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems,, vol. 17, no. 12, pp. 1292-1309, 1998.
  13. C. W. Wu,``Graph Coloring via Synchronization of Coupled Oscillators,'' IEEE Transactions on Circuits and Systems, Part I, vol. 45, no. 9, pp. 974-978, 1998.
  14. C. W. Wu and L. O. Chua, ``Quantized Sampling as Sampling with Uncertainty in Time and Amplitude,'' IEEE Transactions on Circuits and Systems, Part I, vol. 45, no. 4, pp. 458-463, 1998.
  15. G.-Q. Zhong, C. W. Wu and L. O. Chua, ``Torus-Doubling Bifurcations in Four Mutually Coupled Chua's Circuits,'' IEEE Transactions on Circuits and Systems, Part I, vol. 45, no. 2, pp. 186-193, 1998.
  16. T. Kozek, C. W. Wu, A. Zarandy, H. Chen, T. Roska, M. Kunt and L. O. Chua, ``New Results and Measurements Related to Some Tasks in Object-Oriented Dynamic Image Coding Using CNN Universal Chips'', IEEE Transactions on Circuits and Systems for Video Technology, vol. 7, no. 4, pp. 606-614, 1997.
  17. N. Balmforth, C. Tresser, P. Worfolk and C. W. Wu, ``Master-slave Synchronization and the Lorenz Equations,'' CHAOS, vol. 7, no. 3, pp. 392-394, 1997.
  18. T. Yang, C. W. Wu and L. O. Chua, ``Cryptography Based on Chaotic Systems,'' IEEE Transactions on Circuits and Systems, Part I, vol. 44, no. 5, pp. 469-472, 1997.
  19. C. W. Wu and L. O. Chua, ``A More Rigorous Proof of Complete Stability of Cellular Neural Networks'', IEEE Transactions on Circuits and Systems, Part I, vol. 44, no. 4, pp. 370-371, 1997.
  20. M. Itoh, C. W. Wu, and L. O. Chua, ``Communication Systems via Chaotic Signals from a Reconstruction Viewpoint,'' International Journal of Bifurcation and Chaos, vol. 7, no. 2, pp. 275-286, 1997.
  21. L. Pivka, C. W. Wu, and A. Huang, ``Lorenz Equation and Chua's Equation,'' International Journal of Bifurcation and Chaos, vol. 6, no. 12B, pp. 2443-2489, 1996.
  22. L. O. Chua, T. Yang, G-Q. Zhong and C. W. Wu, ``Synchronization of Chua's Circuits with Time-Varying Channels and Parameters,'' IEEE Transactions on Circuits and Systems, Part I, vol. 43, no. 10, pp. 862-868, 1996.
  23. C. W. Wu and L. O. Chua, ``On a variation of the Huberman-Lumer adaptive scheme,'' International Journal of Bifurcation and Chaos, vol. 6, no. 7, pp. 1397-1407, 1996.
  24. C. W. Wu and L. O. Chua, ``On the generality of the unfolded Chua's circuit,'' International Journal of Bifurcation and Chaos, vol. 6, no. 5, pp. 801-832, 1996.
  25. C. W. Wu, G.-Q. Zhong and L. O. Chua, ``Synchronizing nonautonomous chaotic systems without phase-locking,'' Journal of Circuits, Systems, and Computers, vol. 6, no. 3, pp. 227-241, 1996.
  26. Yu. V. Andreyev, A. S. Dmitriev, D. A. Kuminov, L. O. Chua and C. W. Wu, ``1-D maps, chaos and neural networks for information processing,'' International Journal of Bifurcation and Chaos, vol. 6, no. 4, pp. 627-646, 1996.
  27. C. W. Wu, T. Yang, and L. O. Chua, ``On Adaptive Synchronization and Control of Nonlinear Dynamical Systems,'' International Journal of Bifurcation and Chaos, vol. 6, no. 3, pp. 455-471, 1996.
  28. L. Kocarev, C. W. Wu and L. O. Chua, ``Complex behavior in digital filters with overflow nonlinearity: Analytical results,'' to appear in IEEE Transactions on Circuits and Systems, Part II, vol. 43, no. 3, pp. 234-246, 1996.
  29. C.W. Wu and L. O. Chua, ``On a conjecture regarding the synchronization in an array of linearly coupled dynamical systems,'' IEEE Transactions on Circuits and Systems, Part I, vol. 43, no. 2, pp. 161-165, February 1996.
  30. C.W. Wu and L. O. Chua, ``On linear topological conjugacy of Lur'e systems,'' IEEE Transactions on Circuits and Systems, Part I, vol. 43, no. 2, pp. 158-161, February 1996.
  31. L. O. Chua, T. Yang, G-Q. Zhong and C. W. Wu, ``Adaptive Synchronization of Chua's Oscillators,'' International Journal of Bifurcation and Chaos, vol. 6, no. 1, pp. 189-201, 1996.
  32. L. Pivka, C. W. Wu, and L. O. Chua, ``Chua's circuit: chaotic phenomena and applications,'' in Nonlinear Dynamics in Circuits (T. Carroll and L. Pecora, eds.), pp. 265-300, World Scientific, Singapore, 1995.
  33. V. C. Anishchenko, T. E. Vadivasova, D. E. Postnov, O. V. Sosnovtseva, C. W. Wu and L. O. Chua, ``Dynamics of the nonautonomous Chua's circuit,'' International Journal of Bifurcation and Chaos, vol. 5, no. 6, pp. 1677-1699, 1995.
  34. V. C. Anishchenko, T. E. Vadivasova, V. V. Astakhov, O. V. Sosnovtseva, C. W. Wu and L. O. Chua, ``Dynamics of two coupled Chua's circuits,'' International Journal of Bifurcation and Chaos, vol. 5, no. 6, pp. 1525-1540, 1995.
  35. L. O. Chua, L. Pivka and C. W. Wu, ``A universal circuit for studying chaotic phenomena,'' Phil. Trans. Royal Society London A, vol. 353, pp. 65-84, 1995.
  36. C. W. Wu and L. O. Chua, ``Application of Kronecker products to the analysis of systems with uniform linear coupling,'' IEEE Transactions on Circuits and Systems, Part I, vol. 42, no. 10, pp. 775-778, October 1995.
  37. C. W. Wu and L. O. Chua, ``Finding parameters for Chua's oscillator which is topologiclly conjugate to systems with a scalar nonlinearity,'' International Journal of Bifurcation and Chaos, vol. 5, no. 3, pp. 895-899, 1995.
  38. C. W. Wu and L. O. Chua, ``Application of graph theory to the synchronization in an array of coupled nonlinear oscillators,'' IEEE Transactions on Circuits and Systems, Part I, vol. 42, pp. 494-497, August 1995.
  39. C. W. Wu and L. O. Chua, ``Synchronization in an array of linearly coupled dynamical systems,'' IEEE Transactions on Circuits and Systems, Part I, vol. 42, pp. 430-447, August 1995.
  40. L. Pivka, A. L. Zheleznyak, C. W. Wu and L. O. Chua, ``On the generation of scroll waves in a three-dimensional discrete active medium,'' International Journal of Bifurcation and Chaos, vol. 5, no. 1, pp. 313-320, 1995.
  41. L. Pivka, C. W. Wu and A. Huang, ``Chua's Oscillator: a compendium of chaotic phenomena,'' Journal of the Franklin Institute, vol. 331B, no. 6, pp. 705-741, November 1994.
  42. C. W. Wu and L. O. Chua, ``A unified framework for synchronization and control of dynamical systems,'' International Journal of Bifurcation and Chaos, vol. 4, no. 4, pp. 979-998, 1994.
  43. C. W. Wu and L. O. Chua, ``Symbolic dynamics of piecewise-linear maps,'' IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, vol. 41, pp. 420-424, June 1994.
  44. C. W. Wu and L. O. Chua, ``A simple way to synchronize chaotic systems with applications to secure communication systems,'' International Journal of Bifurcation and Chaos, vol. 3, no. 6, pp. 1619-1627, 1993.
  45. C. W. Wu and N. F. Rul'kov, ``Studying chaos via 1-d maps-a tutorial,'' IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 40, pp. 707-721, Oct. 1993.
  46. L. O. Chua, C. W. Wu, A. Huang, and G.-Q. Zhong, ``A universal circuit for studying and generating chaos-part I: Routes to chaos,'' IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 40, pp. 732-744, Oct. 1993.
  47. L. O. Chua, C. W. Wu, A. Huang, and G.-Q. Zhong, ``A universal circuit for studying and generating chaos-part II: Strange attractors,'' IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 40, pp. 745-761, Oct. 1993.
  48. R. N. Madan and C. W. Wu, ``Introduction to experimental chaos using Chua's cirucit,'' in Chua's circuit: A paradigm for Chaos (R. N. Madan, ed.), pp. 59-89, Singapore: World Scientific, 1993.
  49. K. S. Halle, C. W. Wu, M. Itoh, and L. O. Chua, ``Spread spectrum communication through modulation of chaos,'' International Journal of Bifurcation and Chaos, vol. 3, no. 2, pp. 223-239, 1993.
  50. M. P. Kennedy, C. W. Wu, S. Pau, and J. Tow, ``Digital signal processor-based investigation of Chua's circuit family,'' Journal of Circuits, Systems, and Computers, vol. 3, no. 2, pp. 269-292, 1993.
  51. C. W. Wu and L. O. Chua, ``Properties of admissible symbolic sequences in a second-order digital filter with overflow non-linearity,'' International Journal of Circuit Theory and Applications, vol. 21, no. 3, pp. 299-307, 1993.
  52. T. Roska, C. W. Wu, and L. O. Chua, ``Stability of cellular neural networks with dominant nonlinear and delay-type templates,'' IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 40, pp. 270-272, Apr. 1993.
  53. L. O. Chua and C. W. Wu, ``On the universe of stable cellular neural networks,'' International Journal of Circuit Theory and Applications, vol. 20, no. 5, pp. 497-517, 1992.
  54. Y. V. Andreyev, A. Dmitriev, L. O. Chua, and C. W. Wu, ``Associative and random access memory using one-dimensional maps,'' International Journal of Bifurcation and Chaos, vol. 2, no. 3, pp. 483-504, 1992.
  55. C. W. Wu, L. O. Chua, and T. Roska, ``A two-layer radon transform cellular neural network,'' IEEE transactions on circuits and systems-II:Analog and Digital Signal Processing, vol. 39, pp. 488-489, July 1992.
  56. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, ``Stability and dynamics of delay-type general and cellular neural networks,'' IEEE transactions on circuits and systems-I:Fundamental theory and applications, vol. 39, pp. 487-490, June 1992.



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Responsible for this page: Chai Wah Wu 6 March 2002 1