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Dynamic Analysis of a Novel Artificial Neural Oscillator

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Advances in Neural Networks – ISNN 2007 (ISNN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4491))

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Abstract

This paper proposes a novel artificial neural oscillator consisted of two neurons with excellent control properties. The mutual connections between the neurons are just linear functions and determine the oscillation angular frequency. And each neuron has a nonlinear self-feedback connection to hold up oscillation amplitude. The dynamics of the neural oscillator was modelled with nonlinear coupling functions. And the stability, amplitude, angular frequency of the oscillator are determined independently by three parameters of the functions. Since it has simple structure and favorable control advantages, it can be used in bionic robot’s locomotion control system. The first application is an artificial central pattern generator (CPG) controller for bionic robot’s joint. The second is a bionic neural network for fish-robot’s locomotion control.

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References

  1. Ermentrout, G., Chow, C.C.: Modeling Neural Oscillations. Physiology and Behavior 77, 629–633 (2002)

    Article  Google Scholar 

  2. Kazuki, N., Tesuya, A., Yoshihito, A.: Design of an Artificial Central Pattern Generator with Feedback Controller. Intelligent Automation and Soft Computing 10, 185–192 (2004)

    Article  Google Scholar 

  3. Kimura, H., Akiyama, S., Sakurama, K.: Realization of Dynamic Walking and Running of the Quadruped Using Neural Oscillator. Autonomous Robots 7, 247–258 (1999)

    Article  Google Scholar 

  4. Endo, G., et al.: An Empirical Exploration of a Neural Oscillator for Biped Locomotion Control. In: Proceedings of the 2004 IEEE International Conference on Robotics and Automation, pp. 3036–3042 (2004)

    Google Scholar 

  5. Wilson, H.R., Cowan, J.D.: Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons. Biophys. 12, 1–24 (1972)

    Article  Google Scholar 

  6. Ueta, T., Chen, G.: On Synchronization and Control of Coupled Wilson Cowan Neural Oscillators. Int. J. Bifur. Chaos 13, 163–175 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  7. Matsuoka, K.: Mechanisms of Frequency and Pattern Control in the Neural Rhythm Generators. Biolog. Cybern. 56, 345–353 (1987)

    Article  Google Scholar 

  8. Zhang, D.B., et al.: Design of a Central Pattern Generator for Bionic-robot Joint with Angular Frequency Modulation. In: IEEE International Conference on Robotics and Biomimetics, Kunming (2006)

    Google Scholar 

  9. Feldman, J.L., Grillner, S.: Control of Vertebrate Respiration and Locomotion: A Brief Account. The Physiologist 26, 310–316 (1983)

    Google Scholar 

  10. Marder, E., Bucher, D.: Central Pattern Generators and the Control of Rhythmic Movements. Current Biology 11, 986–996 (2001)

    Article  Google Scholar 

  11. MacKay-Lyons, M.: Central Pattern Generation of Locomotion: A Review of the Evidence. Physical Therapy 82, 69–83 (2002)

    Google Scholar 

  12. Grillner, S.: Neural Networks for Vertebrate Locomotion. Scientific American, 64–69 (1996)

    Google Scholar 

  13. Zhaoping, L., Lewis, A., Scarpetta, S.: Mathematical Analysis and Simulations of the Neural Circuit for Locomotion in Lampreys. Physical Review Letters 92, 198106(1-4) (2004)

    Google Scholar 

  14. Ijspeert, A.J., Crespi, A., Cabelguen, J.M.: Simulation and Robotics Studies of Salamander Locomotion. Neuroinformatics 3, 171–196 (2005)

    Article  Google Scholar 

  15. Cohen, A.H., Lewis, M.A.: Sensorimotor Integration in Lampreys and Robot I: CPG Principles. Physiological Reviews 76 (1996)

    Google Scholar 

  16. Zhang, D.B., et al.: A Bionic Neural Network for Fish-Robot Locomotion. Journal of bionic engineering 4, 187–194 (2006)

    Article  Google Scholar 

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© 2007 Springer-Verlag Berlin Heidelberg

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Zhang, D., Hu, D., Shen, L., Xie, H. (2007). Dynamic Analysis of a Novel Artificial Neural Oscillator. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_124

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  • DOI: https://doi.org/10.1007/978-3-540-72383-7_124

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72382-0

  • Online ISBN: 978-3-540-72383-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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