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Identification of discrete chaotic maps with singular points

Author

Listed:
  • P. G. Akishin
  • P. Akritas
  • I. Antoniou
  • V. V. Ivanov

Abstract

We investigate the ability of artificial neural networks to reconstruct discrete chaotic maps with singular points. We use as a simple test model the Cusp map. We compare the traditional Multilayer Perceptron, the Chebyshev Neural Network and the Wavelet Neural Network. The numerical scheme for the accurate determination of a singular point is also developed. We show that combining a neural network with the numerical algorithm for the determination of the singular point we are able to accurately approximate discrete chaotic maps with singularities.

Suggested Citation

  • P. G. Akishin & P. Akritas & I. Antoniou & V. V. Ivanov, 2001. "Identification of discrete chaotic maps with singular points," Discrete Dynamics in Nature and Society, Hindawi, vol. 6, pages 1-10, January.
    • Handle: RePEc:hin:jnddns:584618
    DOI: 10.1155/S1026022601000164
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