Skip to main content
Log in

Genetic programming-based chaotic time series modeling

  • Computer & Information Science
  • Published:
Journal of Zhejiang University-SCIENCE A Aims and scope Submit manuscript

Abstract

This paper proposes a Genetic Programming-Based Modeling (GPM) algorithm on chaotic time series. GP is used here to search for appropriate model structures in function space, and the Particle Swarm Optimization (PSO) algorithm is used for Nonlinear Parameter Estimation (NPE) of dynamic model structures. In addition, GPM integrates the results of Nonlinear Time Series Analysis (NTSA) to adjust the parameters and takes them as the criteria of established models. Experiments showed the effectiveness of such improvements on chaotic time series modeling.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Hegger, R., Kantz, H., 2000. Practical Implementation of Nonlinear Time Series Methods, The TISEAN Software Package Online Documentation. http://www. mpiipks-dresden.mpg.de/≈tisean.

  • Jian, X.C., Zheng, J.L., 2002. A chaotic global modeling method based on orthogonal polynomials.Acta Electronica Sinica,30(1):76–78.

    Google Scholar 

  • Kantz, H., Schreiber, T., 1997. Nonlinear Time Series Analysis. Cambridge University Press.

  • Kennedy, J., Eberhart, R., 1995. Particle Swarm Optimization. Proc. IEEE Int. Conf on Neural Networks, p. 1942–1948.

  • Koza, J.R., 1990. Genetic Programming, A Paradigm for Genetically Breeding Populations of Computer Programs to Solve Problems. Stanford University Report, Report No. STAN-CS-90-1394, http://www.geneticprogramming.com/jkpubs72to93.html#anchor484765.

  • Leung, H., Varadan V., 2002. System Modelling and Design Using Genetic Programming. The 1st IEEE International Conference on Cognitive Informatics, Banff, Canada.

  • Lv, J.H., Lu, J.N., Chen, S.H., 2002. Nonlinear Time Series Analysis and Applications. Wuhan University Press, Wuhan (in Chinese).

    Google Scholar 

  • Pan, Z.J., Kang, L.S., Chen, Y.T., 1998. Evolutionary Computation. Tsinghua University Press and Guangxi Scientific and Technology Press (in Chinese).

  • Rosenstein, J.R., Collins, J.J., Luca, C.J., 1993. A practical method for calculating largest Lyapunov exponents from small data sets.Physica D,65:117–134.

    Article  MathSciNet  MATH  Google Scholar 

  • Shi, Y.H., Eberhart, R., 1998. A Modified Particle Swarm Optimizer. Proc IEEE Int. Conf on Evolutionary Computation, p. 69–73.

  • Varadan, V., Leung, H., 2001. Reconstruction of polynomial systems from noisy time series measurements using genetic programming.IEEE Trans. Industrial Electronics,48(4):742–748.

    Article  Google Scholar 

  • Xie, X.F., Zhang, W.J., Yang, Z.L., 2003. Overview of particle swarm optimization.Control and Decision.18(2):129–134 (in Chinese).

    Google Scholar 

  • Wei, R., Lu, J.G., Li, J., Wang, Z.Q., 2002. A new wavelet model for identification of discrete chaotic systems and qualitative analysis of model.Acta Electronica Sinica,30(1):73–75.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wei Zhang.

Additional information

Project (Nos. 60174009 and 70071017) supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, W., Wu, Zm. & Yang, Gk. Genetic programming-based chaotic time series modeling. J. Zheijang Univ.-Sci. 5, 1432–1439 (2004). https://doi.org/10.1631/jzus.2004.1432

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.2004.1432

Key words

Document code

CLC number

Navigation