Publications


    Book

    J.B. Gao, Y.H. Cao, W.W. Tung, and J. Hu, Multiscale analysis of complex time series --- Integration of Chaos and Random Fractal Theory, and Beyond (Wiley Interscience, August, 2007).


    Book Chapter

    N.S.V. Rao, J.B. Gao, and L. Chua, On dynamics of transport protocols in wide-area Internet connections, Complex Dynamics in Communication Networks, G. Vattay and L. Kocarev, eds., Springer-Verlag, 2005.


    Selected Journal Papers

  1. J. Hu, J.B. Gao, and W.W. Tung, Characterizing heart rate variability by scale-dependent Lyapunov exponent, Chaos (special issue on Controversial Topics in Nonlinear Science: Is the Normal Heart Rate Chaotic? ) Vol 19, 028506 (2009) (pdf).

  2. J. Hu, J.B. Gao, X.S. Wang, Multifractal analysis of sunspot time series: the effects of the 11-year cycle and Fourier truncation, J Statistical Mechanics 2009/02/P02066 (pdf).

  3. J. Hu, W.W. Tung, and J.B. Gao, A new way to model non-stationary sea clutter, IEEE Signal Processing Letters Vol. 16, 129-132 (2009) (pdf).

  4. J. Hu, J.M. Lee, J.B. Gao, K.D. White, and B. Crosson, Assessing a signal model and identifying brain activity from fMRI data by a detrending-based fractal analysis. Brain Structure and Function Vol. 212, 417-426 (2008)(pdf).

  5. J.M. Lee, J. Hu, J.B. Gao, B. Crosson, K.K. Peck, C.E. Wierenga, K.M. McGregor, Q. Zhao, and K.D. White, Discriminating brain activity from task-related artifacts in functional MRI: Fractal scaling analysis, simulation and application. NeuroImage Vol. 40, 197-212 (2008) (pdf).

  6. W.W. Tung, J. Hu, J.B. Gao, and V.J. Billock, Diffusion, Intermittency, and Noise-sustained Metastable Chaos in the Lorenz Equations: Effects of noise on multistability. Int. J. Bifurcations & Chaos (theme issue Multistability in Dynamical Systems) Vol. 18, No. 6, 1749-1758 (2008)(pdf).

  7. J. Hu, J.B. Gao, Y.H. Cao, and W.J. Zhang, Exploiting noise in array CGH data to improve detection of DNA copy number change. Nucleic Acids Research Vol. 35, No. 5, e35 (2007)(pdf).

  8. J. Hu, J.B. Gao, and J.C. Principe, Analysis of biomedical signals by the Lempel-Ziv complexity: the effect of finite data size. IEEE Trans. on Biomedical Engineering V53, No.12, 2606-2609, December (2006) (pdf).

  9. J.B. Gao, J. Hu, W.W. Tung, Y.H. Cao, Distinguishing chaos from noise by scale-dependent Lyapunov exponent. Phys. Rev. E V74, 066204 (2006)(pdf).

  10. J. Hu, J.B. Gao, F.L. Posner, Y. Zheng, and W.W. Tung, Target detection within sea clutter: a comparative study by fractal scaling analyses. Fractals V14, 187-204 (2006) (pdf).

  11. X.S. Wang, J. Hu and J.B. Gao, Nonlinear dynamics of regenerative cutting processes - comparison of two models. Chaos, Solitons, & Fractals V29, 12191228 (2006).

  12. J.B. Gao, V.A. Billock, I. Merk, W.W. Tung, K.D. White, J.G. Harris, V.P. Roychowdhury, Inertia and memory in ambiguous visual perception, Cognitive Processing (2006) (pdf).

  13. J.B. Gao, J. Hu, W.W. Tung, Y.H. Cao, N. Sarshar, V. P. Roychowdhury, Assessment of long range correlation in time series: How to avoid pitfalls. Phys. Rev. E V73, 016117 (2006) (pdf).

  14. J. Hu, W.W. Tung, and J.B. Gao, Detection of low observable targets within sea clutter by structure function based multifractal analysis. IEEE Trans. Antennas & Propagation V54, No.1, 135-143 (2006) (pdf).

  15. J.B. Gao, Y.H. Cao, Y. Qi, and J. Hu, Building innovative representations of DNA sequences to facilitate gene finding, IEEE Intelligent Systems Nov/Dec, 34-39 (2005) (special issue on Data Mining for Bioinformatics) (pdf).

  16. J. Hu, W.W. Tung, J.B. Gao, Y.H. Cao, Reliability of the 0-1 test for chaos, Phys. Rev. E V72, 056207 (2005) (pdf).

  17. Y. Zheng, J.B. Gao, J.C. Sanchez, J.C. Principe, and M.S. Okun, Multiplicative multifractal modeling and discrimination of human neuronal activity. Phys. Lett. A V344, 253-264 (2005) (pdf).

  18. J.B. Gao, N.S.V. Rao, J. Hu, and A. Jing, Quasi-periodic route to chaos in the dynamics of Internet transport protocols. Phys. Rev. Lett. V94, May 20, 2005, 198702 (pdf).

  19. J. Han, J.B. Gao, Y. Qi, P. Jonker, and J.A.S. Fortes, Towards hardware-redundant fault-tolerant logic for nanoelectronics. IEEE Design & Test of Computers (special issue) July-August, 328-339 (2005) (pdf).

  20. J.B. Gao, W.W. Tung, Y.H. Cao, J. Hu, and Y. Qi, Power-law sensitivity to initial conditions in a time series with applications to epileptic seizure detection. Physica A V353, 613-624 (2005)(pdf).

  21. J.B. Gao, Y. Qi, and J.A.B. Fortes, Bifurcations and Fundamental Error Bounds for Fault-Tolerant Computations. IEEE Tran. Nanotech V4, 395-402 (2005) (pdf).

  22. J.B. Gao and N.S.V. Rao, Complicated Dynamics of Internet Transport Protocols. IEEE Commun. Lett. V9, Jan 2005, 4-6 (pdf).

  23. Y.H. Cao, W.W. Tung, J.B. Gao, and Y. Qi, Recurrence time statistics: Versatile tools for genomic DNA sequence analysis. Journal of Bioinformatics and Computational Biology Vol 3: 677-696 JUN 2005 (pdf).

  24. Jianbo Gao, Yan Qi, Yinhe Cao, and Wen-wen Tung, Protein coding sequence identification by simultaneously characterizing the periodic and random features of DNA sequences. Journal and biotechnology and biomedicine Special issue (pdf).

  25. W.W. Tung, Y. Qi, J.B. Gao, Y.H. Cao, and L. Billings, Direct characterization of chaotic and stochastic dynamics in a population model with strong periodicity. Chaos, Solitons, & Fractals V24, April 2005, 645-652 (pdf).

  26. Y. Qi, J.B. Gao, and J.A.B. Fortes, Markov Chain and probabilistic computation: A General Framework for Fault-Tolerant System Architectures for Nanoelectronics. IEEE Tran. Nanotech V4, March, 2005, 194-205 (pdf).

  27. Yinhe Cao, Wen-wen Tung, J.B. Gao, V.A. Protopopescu, and L.M. Hively, Detecting dynamical changes in time series using the permutation entropy. Phys. Rev. E V70, 046217 (2004) (pdf) (selected for the November 1, 2004 issue of Virtual Journal of Biological Physics Research: http://www.vjbio.org).

  28. Jing Hu, J.B. Gao, and K.D. White, Estimating measurement noise in a time series by exploiting nonstationarity. Chaos, Solitons, & Fractals V22, 807-819 (2004) (pdf).

  29. J.B. Gao, Analysis of Amplitude and Frequency Variations of Essential and Parkinsonian Tremors. Medical and Biological Engineering and Computing V52, No. 3, 345-349 (2004)(pdf).

  30. Y.H. Zhou, J.B. Gao, K.D. White, I. Merk, and K. Yao, Perceptual Dominance Time Distributions in Multistable Visual Perception. Biological Cybernetics, V90, 256-263 (2004) (pdf).

  31. W.W. Tung, M.W. Moncrief, and J.B. Gao, A systemic view of the multiscale tropical deep convective variability over the tropical western-Pacific warm pool. J. Climate, V17, 2736-2751 (2004) (pdf).

  32. J.B. Gao, Y.H. Cao, L.Y. Gu, J.G. Harris, and J.C. Principe, Detection of Weak Transitions in Signal Dynamics Using Recurrence Time Statistics. Phys. Lett. A V317, 64-72 (2003) (pdf).

  33. J.B. Gao, Y.H. Cao, and J.M. Lee, Principal Component Analysis of 1/f Noise. Phys. Lett. A V314, 392-400 (2003) (pdf).

  34. J.B. Gao and I. Rubin, Analysis of Random Access Protocol under Long-Range-Dependent Traffic. IEEE Tran. on Vehicular Tech. V52, No.3, 693-700 (2003) (pdf).

  35. J.B. Gao, Wen-wen Tung, and Nageswara Rao, Noise Induced Hopf Bifurcation-type Sequence and Transition to Chaos in the Lorenz Equations. Phys. Rev. Lett. V89: 254101 (2002). (pdf).

  36. J.B. Gao and W.W. Tung, Pathological tremors as diffusional processes. Biological Cybernetics V86: 263-270 (2002). (pdf ).

  37. J.B. Gao and I. Rubin, Multiplicative multifractal modeling of Long-Range-Dependent network traffic. Int. J. Comm. Systems. V14: 783-201 (2001). (pdf).

  38. J.B. Gao and I. Rubin, Multiplicative Multifractal Model ing of Long-Range-Dependent (LRD) Traffic in Computer Communications Networks. Nonlinear Analysis. V47: 5765-5774 (2001). (pdf).

  39. J.B. Gao and I. Rubin, Multifractal modeling of counting processes of Long-Range-Dependent network Traffic. Computer Communications. V24: 1400-1410 (2001). (pdf).

  40. J.B. Gao, Detecting nonstationarity and state transitions in a time series. Phys. Rev. E V63: 066202-1-8 (2001). (ps) (pdf).

  41. J.B. Gao and I. Rubin, Analysis of Random Access Protocol under Bursty Traffic, Lecture Notes in Computer Science. V 2216: 71-84 (2001) (pdf ).

  42. J.B. Gao and H.Q. Cai, On the structures and quantification of recurrence plots. Phys. Lett. A, V270: 75-87 (2000). (pdf).

  43. J.B. Gao and I. Rubin, Superposition of multiplicative multifractal traffic processes. Electronics Lett. V36: 761-762 (2000). (pdf).

  44. J.B. Gao and I. Rubin, Multifractal analysis and modeling of VBR video traffic. Electronics Lett. V36: 278-279 (2000). (pdf).

  45. J.B. Gao and I. Rubin, Statistical Properties of Multiplicative Multifractal Processes in Modeling Telecommunications Traffic Streams. Electronics Lett. V36: 101-102 (2000). (pdf).

  46. K. Hwang, J.B. Gao, J.M. Liu, Noise-induced chaos in an optically injected semiconductor laser. Phys. Rev. E V61: 5162-5170 (2000). (ps) (pdf).

  47. J.B. Gao, C.C. Chen, S.K. Hwang, and J.M. Liu (invited paper), Noise-Induced Chaos. Int. J. Mod. Phys. B V13: 3283-3305 (1999). (pdf).

  48. J.B. Gao, Recurrence time statistics for chaotic systems and their applications. Phys. Rev. Lett. V83: 3178-3181 (1999). (ps) (pdf).

  49. J.B. Gao, S.K. Hwang, and J.M. Liu, When can noise induce chaos? Phys. Rev. Lett. V82: 1132-1135 (1999). (ps) (pdf).

  50. J.B. Gao, S.K. Hwang, and J.M. Liu, Effects of intrinsic spontaneous- emission noise on the nonlinear dynamics of an optically injected semiconductor laser.Phys. Rev. A V59: 1582-1585 (1999). (ps) (pdf).

  51. S. Legg, J. McWilliams and J.B. Gao, Localization of deep ocean convection by a mesoscale eddy. J. Phys. Oceanography V28: 944-970 (1998).

  52. J.B. Gao, Recognizing randomness in a time series. Physica D V106: 49-56 (1997). (pdf).

  53. J.B. Gao and Z.M. Zheng, Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time series. Phys. Rev. E V49: 3807-3814 (1994). (pdf).

  54. J.B. Gao and Z.M. Zheng, Direct dynamical test for deterministic chaos. Europhys. Lett. V25: 485-490 (1994).

  55. J.B. Gao and Z.M. Zheng, Local exponential divergence plot and optimal embedding of a chaotic time series. Phys. Lett. A V181: 153-158 (1993).

  56. Z.B. Lin, X. Er, J.B. Gao, A study on the chaotic motion in the low Reynolds number wake behind a cylinder. Science in China (Series A) V23, 277 (1993) (in Chinese).


    Recent Conference Papers

  57. J. Hu, W.W. Tung, J.B. Gao, E. Blasch, G.S. Chen, Multiscale modeling of sea clutter to facilitate detection of low observable targets within sea clutter, SPIE Defense & Security Symposium, April 13-17, 2009, Orlando, FL.

  58. J.B. Gao, J.Hu, X.S. Wang, W.W. Tung, J.C. Principe, J.C. Sackellares, Real-time monitoring of epileptic seizures through recurrence time analysis of EEGs. The 2nd International Conference on Bioinformatics and Biomedical Engineering (ICBBE2008), May 16-18, Shanghai, China.

  59. J.Hu, J.B. Gao, W.W. Tung, X.S. Wang, Y.H. Hu, Y.H. Cao, Distinguishing healthy subjects from patients with congestive heart failure using scale-dependent Lyapunov exponent. The 2nd International Conference on Bioinformatics and Biomedical Engineering (ICBBE2008), May 16-18, Shanghai, China.

  60. W.W. Tung, J.Hu, J.B. Gao, R. S. Lynch, and G.S. Chen, On modeling sea clutter by noisy chaotic dynamics, SPIE Defense & Security Symposium, March 16-20, 2008, Orlando, FL.

  61. J.Hu, W.W. Tung, J.B. Gao, R. S. Lynch, and G.S. Chen, On modeling sea clutter by diffusive models, SPIE Defense & Security Symposium, March 16-20, 2008, Orlando, FL.

  62. J. Hu, J.B. Gao, R. S. Lynch, and G.S. Chen, Multiscale modeling approach for detecting low observable targets within sea clutter. Proc. of IEEE Aerospace Conference. March 2008, Big Sky, Montana.

  63. J. Hu, J.B. Gao, and N.S.V. Rao, Defending against Internet worms using a phase space method from chaos theory. SPIE Defense & Security Symposium, April 9-13, 2007, Orlando, FL, USA.

  64. J. Hu, J.B. Gao, Y.H. Cao, and W.J. Zhang, Detection of gene copy number change in array CGH data. IEEE/NLM LSSA06, July 13-14, 2006, Bethesda, MD, USA.

  65. J. Hu, J.B. Gao, and Y.H. Cao, Multiscale analysis of heart rate variability. IEEE/NLM LSSA06, July 13-14, 2006, Bethesda, MD, USA.

  66. J. Hu, J.M. Lee, J.B. Gao, K.D. White, and B. Crosson, Identification of brain activity from fMRI data: comparison of three fractal scaling analyses. IEEE/NLM LSSA06, July 13-14, 2006, Bethesda, MD, USA.

  67. J.M. Lee, Q. Zhao, J.B. Gao, and K.D. White, "fMRI quality assurance using phase space reconstruction of SmartPhantom simulation of BOLD contrast", International Society for Magnetic Resonance in Medicine (ISMRM) 14th Scientific Meeting & Exhibition, 6-12 May, Seattle, Washington, USA.

  68. J. Hu and J.B. Gao, "Modeling sea clutter as a nonstationary and nonextensive random process", IEEE 2006 International Radar Conference, April 24-27, 2006, Verona, NY USA. (pdf).

  69. J. Han, E. Taylor, J. Gao and J.A.B. Fortes, "Reliability Modeling of Nanoelectronic Circuits," Proc. IEEE-NANO 2005, IEEE Conference on Nanotechnology, July, 2005, Nagoya, Japan.

  70. J. Han, E. Taylor, J. Gao and J.A.B. Fortes, "Faults, Error Bounds and Reliability of Nanoelectronic Circuits," Proc. IEEE ASAP 2005, IEEE 16th International Conference on Application-specific Systems, Architectures and Processors, July 23-25, 2005, Samos, Greece.

  71. X.S. Wang, J. Hu and J.B. Gao, Nonlinear Dynamics of Regenerative Cutting Processes - Comparison of Two Models. Int. Conf. on Control & Auto., June 27-28, 2005, Budapest, Hungary, pp. 667-672.

  72. J.M. Lee, J. Hu, J.B. Gao, K.D. White, B. Crosson, C. Wierenga, K. McGregor, and K.K. Peck, ``Identification of brain activity by fractal scaling analysis of functional MRI Data'', ICASSP'05, March 18-23, 2005, Philadelphia, PA, USA(pdf).

  73. J. Hu, J.B. Gao, K. Yao and U.S. Kim, ``Detection of low observable targets within sea clutter by structure function based multifractal analysis'', ICASSP'05, March 18-23, 2005, Philadelphia, PA, USA(pdf).

  74. J.B. Gao, Y.H. Cao, and J. Hu, ``Recurrence Time Distribution, Renyi Entropy, and Pattern Discovery'', Conference on Information Sciences and Systems (CISS'05), Johns Hopkins University, Baltimore, MD, March 16-18, 2005(pdf).

  75. J.B. Gao, J. Hu, Y.H. Cao, Y. Qi, and Wen-wen Tung, ``Large scale signal and information processing by simultaneous characterization of randomness and structures'', Conference on Information Sciences and Systems (CISS'05), Johns Hopkins University, Baltimore, MD, March 16-18, 2005(pdf).

  76. Y. Zheng, J.B. Gao, K. Yao, ``Multiplicative Multifractal Modeling of Sea Clutter for Object Detection'', IEEE 2005 International Radar Conference, May 9-12, 2005, Arlington, Virginia, USA(pdf).

  77. J. Hu, J.B. Gao, and K. Yao, ``Power-Law Sensitivity to Initial Conditions in Sea Clutter'' IEEE 2005 International Radar Conference, May 9-12, 2005, Arlington, Virginia, USA(pdf).

  78. J.B. Gao, Y. Qi, Y.H. Cao, and W.W. Tung, ``Novel unsupervised methods for identifying protein coding sequence from genomic DNA sequences'' Conference on Systems Analysis, Data Mining and Optimization in Biomedicine , February 2-4, 2005, University of Florida, Gainesville, FL, USA.

  79. K. Yao and J.B. Gao, ``Two Statistical Methods for Modeling Wireless Fading and Radar Sea Clutter Phenomena'', Conference of Mathematics in Signal Processing VI , the Institute of Mathematics and its applications (IMA), 14 - 16 December 2004, UK.

  80. H. Liu, J. B. Gao, K. E. Hild, J.C. Principe, J. C. Sackellares, ``Epileptic Seizure Detection from ECoG Using Recurrence time Statistics'', Proceedings of the 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBS 2004), San Francisco, CA, September 1-5, 2004.

  81. Y.H. Cao, W.-w. Tung, and J.B. Gao, Recurrence time statistics: Versatile tools for genomic DNA sequence analysis, The Computational Systems Bioinformatics Conference (CSB2004), Stanford, CA, August 16-19, 2004.

  82. Yan Qi, Jianbo Gao, Yinhe Cao, and Wen-wen Tung, Deriving a novel codon index by combining period-3 and fractal features of DNA sequences, The Computational Systems Bioinformatics Conference (CSB2004), Stanford, CA, August 16-19, 2004.

  83. Jianbo Gao, Jesse Bridgewater, and Vwani P. Roychowdhury Synchronized Oscillations and Chaos in Coupled Genetic Repressilators, The Computational Systems Bioinformatics Conference (CSB2004), Stanford, CA, August 16-19, 2004.

  84. J.B. Gao, Y.H. Cao, and W.-w. Tung, Multifractal and recurrence time based methods for DNA sequence analysis, Conference on Data Mining in Biomedicine, February 16-18, 2004, University of Florida, Gainesville, FL.

  85. J.B. Gao and Y.H. Cao, Novel nonlinear methods for genomic DNA sequence analysis, poster in Sixth Annual Winter Workshop: Data Mining, Statistical Learning, and Bioinformatics, January 8-10, 2004, University of Florida, Gainesville, FL.

  86. K.D. White, J.B. Gao, and Y.H. Zhou, Fractal statistics of perceptual switching time series, Vision Science and Society Conference 2003, May 9-14, Sarasota, FL, USA (abstract appeared in J. Vision , pdf).

  87. A. Hegde, D. Erdogmus, Y. Rao, J. Principe, J.B. Gao, SOM-based similarity index measure:Quantifying interactions between multivariate structures, 2003 IEEE Intl. Work. on Neural Networks for Signal Processing, September 17-19, 2003, Toulouse, France.

  88. L.Y. Gu, J.B.Gao, and J. Harris, Speech Endpoint detection in noisy environments using a Poincare recurrence metric, ICASSP 2003, Hong Kang, April.

  89. J.B. Gao and W.W. Tung, The nature of essential and Parkinsonian tremors, The 7th Experimental Chaos Conference, San Diego, USA, August 25-29, 2002.

  90. J.B. Gao, S.K. Hwang, H.F. Chen, Z. Kang, K. Yao, and J.M. Liu, Can sea clutter and indoor radio propagation be modeled as strange attractors? The 7th Experimental Chaos Conference, San Diego, USA, August 25-29, 2002.

  91. J.B. Gao and I. Rubin, Performance of Random Multiple Access Scheme Under Long-Range-Dependent Traffic, ICC'2002, New York, April, 2002.

  92. J.B. Gao and k. Yao, Multifractal features of sea clutter, IEEE Radar Conference 2002, Long Beach, CA, April, 2002.

  93. J.B. Gao and I. Rubin, Analysis of Random Access Protocol under Bursty Traffic, in Ehab S. Al-Shaer, Giovanni Pacifici (Eds.): Management of Multimedia on the Internet, 4th IFIP/IEEE International Conference on Management of Multimedia Networks and Services, MMNS 2001, Chicago, IL, USA October 29 - November 1, 2001, Proceedings.

  94. J.B. Gao, V. P. Roychowdhury, R. Ritke, and I. Rubin, IP Packet Level vBNS Traffic Analysis and Modeling, SPECTS'01, Orlando, Florida, July, 2001, p178-185.

  95. J.B. Gao and R. Ritke, Long-Range-Dependence Properties and Multifractal Modeling of vBNS traffic, 2001 Applied Telecommunications Symposium (ATS'01), April, 2001, Seattle, Washington.

  96. J.B. Gao and I. Rubin, Multiplicative Multifractal Modeling of Long-Range-Dependent (LRD) Traffic in Computer Communications Networks. World Congress of Nonlinear Analysts. July, 2000, Catonia, Sicily, Italy.

  97. J.B. Gao and I. Rubin, Superposition of Multiplicative Multifractal Traffic Streams. ICC2000. June, 2000, New Orleans, Louisiana.

  98. J.B. Gao and I. Rubin, Multifractal modeling of counting processes of Long-Range Dependent network traffic. Proceedings SCS Advanced Simulation Technologies Conference,San Diego, CA, 1999.

  99. J.B. Gao and I. Rubin, Multiplicative Multifractal Modeling of Long-Range-Dependent Traffic. Proceedings ICC'99, Vancouver, Canada, June, 1999.

  100. J.B. Gao, Modes interactions in wakes behind a cylinder. Int. Conf. on Fluid Mech. and Theo. Thys. in Honor of Prof. Pei-Yuan Chou's 90th Anniversary, Beijing, China, June, 1992.

  101. J.B. Gao, Characterizing the chaotic motion in wakes behind a cylinder. Second Int. Conf. on Fluid Mech., Beijing, China, July, 1993.

  102. G.W. He and J.B. Gao, A coupled map lattice model for open flow. Second Int. Conf. on Fluid Mech., Beijing, China, July, 1993.

  103. J.B. Gao, On the chaotic features of normal electrocardiosignal. Second Far east Int. Conf. on Medicine and Bioengineering, Beijing, China, August, 1993.