Skip to main content
Springer Nature Link
Log in

On a Chaotic Neural Network with Decaying Chaotic Noise

  • Conference paper
Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

Included in the following conference series:

  • 1076 Accesses

Abstract

In this paper, we propose a novel chaotic Hopfield neural network (CHNN), which introduces chaotic noise to each neuron of a discrete-time Hopfield neural network (HNN), and the noise is gradually reduced to zero. The proposed CHNN has richer and more complex dynamics than HNN, and the transient chaos enables the network to escape from local energy minima and to settle down at the global optimal solution. We have applied this method to solve a few traveling salesman problems, and simulations show that the proposed CHNN can converge to the global or near global optimal solutions more efficiently than the HNN.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Hopfield, J.J., Tank, D.W.: Neural Computation of Decisions in Optimization Problems. Biol. Cybern. 52, 141–152 (1985)

    MATH  MathSciNet  Google Scholar 

  2. Chen, L., Aihara, K.: Chaotic Simulated Annealing by A Neural-Network Model with Transient Chaos. Neural Networks 8, 915–930 (1995)

    Article  Google Scholar 

  3. Wang, L., Smith, K.: On Chaotic Simulated Annealing. IEEE Trans. Neural Net. 9, 716–718 (1998)

    Article  Google Scholar 

  4. Zhou, D., Yasuda, K., Yokoyama, R.: A Method to Combine Chaos and Neural-Network Based on the Fixed Point Theory. Trans. Inst. Elect. Eng. Japan 117, 599–608 (1997)

    Google Scholar 

  5. Hayakawa, Y., Marumoto, A., Sawada, Y.: Effects of the Chaotic Noise on the Performance of Neural-network Model for Optimization Problems. Phys. Rev. E 51, 2693–2696 (1995)

    Article  Google Scholar 

  6. He, Y.: Chaotic Simulated Annealing with Decaying Chaotic Noise. IEEE Trans. Neural Net. 13, 1526–1531 (2002)

    Article  Google Scholar 

  7. Wang, L., Li, S., Tian, F., Fu, X.: A Noisy Chaotic Neural Network for Solving Combinatorial Optimization Problems: Stochastic Chaotic Simulated Annealing. IEEE Trans. System, Man, Cybern, Part B - Cybernetics 34, 2119–2125 (2004)

    Article  Google Scholar 

  8. Hino, T., Yamamoto, S., Ushio, T.: Stabilization of Unstable Periodic Orbits of Chaotic Discrete-time Systems Using Prediction-based Feedback Control. Int. J. Bifurcation and Chaos. 12, 439–446 (2002)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Harbin Institute of Technology, Harbin, Heilongjiang, 15000, China

    Tianyi Ma, Ling Wang & Xiaozong Yang

  2. Department of Electrical Engineering and Computer Science, University of Nevada, Las Vegas, NV, USA, 89147

    Yingtao Jiang

Authors
  1. Tianyi Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ling Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yingtao Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiaozong Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. The Key Laboratory of Optoelectric Technology & Systems, Ministry of Education, China

    Xiaofeng Liao

  3. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ma, T., Wang, L., Jiang, Y., Yang, X. (2005). On a Chaotic Neural Network with Decaying Chaotic Noise. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_79

Download citation

  • DOI: https://doi.org/10.1007/11427391_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics