Open Access
MATEC Web Conf.
Volume 63, 2016
2016 International Conference on Mechatronics, Manufacturing and Materials Engineering (MMME 2016)
Article Number 04027
Number of page(s) 5
Section Information Technology, Control and Application
Published online 12 July 2016
  1. N.H. Packard, J.P. Crutchfield, J.D. Farmer and R.S. Shaw, Phys. Rev. Lett. 45 (1980) 712. [CrossRef]
  2. F. Takens, in: Dynamical Systems and Turbulence, Eds. D.A. Rand, and L.S. Young (Springer, Berlin, 1981)
  3. M. Casdagli, S. Eubank, J. D. Farmer, J. Gibson, State space reconstruction in the presence of noise, Physica D 51(1991) 52 [CrossRef] [MathSciNet]
  4. A. M. Albano, J. Muench, C. Schwartz, Singular value decomposition and the Grassberger-Procaccia algorithm, Phys. Rev. A38 (1998) 3017–3026.
  5. A.M. Frazer, H.L. Swinney, Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33(1986) 1134–1140 [NASA ADS] [CrossRef] [MathSciNet] [PubMed]
  6. T. Buzug, G. Pfister, Optimal delay time and embedding dimension for delay-time coordinates by analysis of the global static and local dynamical behavior of strange attractors, Phys. Rev. A 45(1992) 7073 [CrossRef]
  7. W. Liebert, K. Pawelzik, H.G. Schuster. Optimal embeddings of chaotic attractors from topological considerations. Europhys. letter 14(1991) 521 [CrossRef] [MathSciNet]
  8. Michael T. Rosenstein, James J. Collins, Carlo J. De Luca, Reconstruction expansion as a geometry-based framework for choosing proper delay times, Physica D 73(1994) 82 [CrossRef]
  9. J. M. Martinerie, A. M. Albano, A. I. Mees and P. E. Rapp, Phys. Rev. A 45 (1992) 7058 [CrossRef]
  10. G. Kember, A. C. Fowler. A correlation function for choosing time delays in phase portrait reconstructions. Physics Letter A 179 (1993) 72–80 [CrossRef]
  11. A. M. Albano, A. Passamante and M.E. Farrell, Physica D 54 (1991) 85. [CrossRef]
  12. L. A. Aguire, A nonlinear correlation function for selecting the delay time in dynamical reconstruction, Physics Letters A 203 (1995) 88–94 [CrossRef]
  13. Yao Baoheng The Principle of optimum time lag choice based on singular value spectrum entropy, Journal of Shanghai Jiao Tong University, 2005, Vol 39, No.1, 150–153
  14. Yang Wenxian, Jiang Jiesheng. Study on the singular entropy of mechanical signal, Chinese Journal of Mechanical Engineering, 2000, Vol 36: 9–1 [CrossRef]