33
Views
2
CrossRef citations to date
0
Altmetric
Miscellany

Aspects of neural modeling of multidimensional chaotic attractors

, , &
Pages 791-802 | Accepted 19 Dec 2003, Published online: 25 Jan 2007

References

References

  • Alsing , PM , Gavrielides , A and Kovanis , V . (1994) . Using neural networks for controlling chaos . Phys. Rev. E , 49 ( 2 ) : 1225 – 1231 .
  • Yeh , I-Cheng . (1997) . Modeling chaotic dynamical systems using extented neuron-networks . Neural Parallel Sci. Comput. , 5 : 429 – 438 .
  • Kofidis , N , Roumeliotis , M and Adamopoulos , M . (2000) . Chaotic properties and pattern competition during learning phase in back propagation neural networks . Int. J. Comput. Math. , 74 : 407 – 437 .
  • Kofidis , N , Roumeliotis , M and Adamopoulos , M . (1999) . Improving the performance of neural networks modeling strange attractors by the use of LVQ neural networks as input signal controllers . Int. J. Comput. Math. , 73 : 201 – 216 .
  • Kofidis , N , Roumeliotis , M and Adamopoulos , M . (2000) . Chaotic error series produced in recall phase by neural models of chaotic attractors . Neural Parallel Sci. Comput. , 8 : 439 – 458 .
  • Kofidis , N , Roumeliotis , M and Adamopoulos , M . (2002) . Neural models of chaotic attractors and chaotic features of neural networks . Int. J. Pure Appl. Math. , 2 ( 4 ) : 441 – 491 .
  • Kolen , F , John and Jordan Pollack , B . (1990) . Back propagation is sensitive to initial conditions . Complex Syst. , 4 : 269 – 280 .
  • Kugiumtzis D (1994a) State space reconstruction in the prediction of chaotic time series with neural networks Proceedings of the Norwegian Neural Network Symposium
  • Hornik , Kurt , Stinchombe , Maxwell and White , Halbert . (1989) . Multilayer feedforward networks are universal approximators . Neural Networks , 2 : 359 – 366 .
  • Lapedes A Farber R (1987) Nonlinear signal processing using neural networks: predictive and system modeling LA-UR-87-2662, Los Alamos National Laboratory Technical Report
  • George , Mpitsos J and Robert , Burton M Jr. (1992) . Convergence and divergence in neural networks . Processing of Chaos and Biological Analogy. Neural Networks , 5 : 605 – 625 .
  • Roumeliotis , M , Kofidis , N and Adamopoulos , M . (1998) . Back propagation neural networks with functional link input structure as models of chaotic attractors . Neural Parallel Sci. Comput. , 6 : 451 – 468 .
  • Masri , SF , Chassiakos , AG and Caughey , TK . (1992) . Structure-unknown non-linear dynamic systems: identification through neural networks . Smart Mater. Struct. , 1 : 45 – 56 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.