50
Views
4
CrossRef citations to date
0
Altmetric
Original Article

Learning model for coupled neural oscillators

Pages 213-226 | Received 20 Feb 1998, Published online: 09 Jul 2009

References

  • Amari S. Characteristics of random nets of analog neuron-like elements. IEEE Trans. Syst. Man Cybernet. 1972; SMC‐2: 643–57
  • Buchanan J T. Neural network simulations of coupled locomotor oscillators in the lamprey spinal cord. Biol. Cybernet. 1992; 66: 367–74
  • Doya K, Yoshizawa S. Adaptive synchronization of neural and physical oscillators. Advances in Neural Information Processing Systems 4, J E Moody, S J Hanson, R P Lippmann. Morgan Kaufmann, San Mateo, CA 1992; 4: 109–16
  • Ermentrout G B, Kopell N. Multiple pulse interaction and averaging in systems of coupled neural oscillators. J. Math. Biol. 1991; 19: 195–217
  • Ermentrout G B, Kopell N. Learning of phase lags in coupled oscillators. Neural Comput. 1994; 6: 225–41
  • Flamm R E, Harris-Warrick R M. Aminergic modulation in lobster stomatogastric ganglion: I. Effects on motor pattern and activity of neurons within the pyloric circuit. J. Neurophysiol. 1986; 55: 847–65
  • Freeman W J. Simulation of chaotic EEG patterns with a dynamics model of the olfactory system. Biol. Cybernet. 1987; 56: 139–50
  • Getting P A. Mechanisms of pattern generation underlying swimming in tritonia, I. Neuronal network formed by monosynaptic connections. J. Neurophysiol. 1981; 46: 65–79
  • Gray M, König P, Engel A K, Singer W. Inter-columnar synchronization which reflects global stimulus properties. Nature 1989; 338: 334–337
  • Grillner S, Wallen P, Brodin L. Neuronal network generating locomotor behavior in lamprey: circuitry, transmitters, membrane, properties and simulation. Ann. Rev. Neurosci. 1991; 14: 169–99
  • Harris-Warrick R M. Modulation of pattern generators. Neural Control of Rhythmic Movements in Vertebrates, A H Cohen, S Rossignol, S Grillner. Wiley, New York 1988; 285–331
  • Hassard B, Wan Y H. Bifurcation formulae derived from center manifold theory. J. Math. Anal. Appl. 1978; 63: 297–312
  • Lund J P, Enomoto S. The generation of mastication by the mammalian central nervous system. Neural Control of Rhythmic Movements in Vertebrates, A H Cohen, S Rossignol, S Grillner. Wiley, New York 1988; 41–72
  • Nishii J. Learning of a phase pattern in coupled oscillators based on evaluation functions. Proc. Int. Symp. on Nonlinear Theory and its Applications (Waikiki, HI) 1997; 2: 763–6
  • Nishii J. A learning model for oscillatory networks. Neural Networks 1998; 11: 249–57
  • Nishii J. A learning model of a periodic locomotor pattern by the central pattern generator. Adaptive Behavior, in press
  • Nishii J, Suzuki R. Oscillatory network model which learns a rhythmic pattern of an external signal. Proc. Int. Fed. Automatic Control Symp, B W Patterson. Omnipress, Galveston, TX 1994; 501–2
  • Pearson K. The control of walking. Sci. Am. 1976; 235: 72–86
  • Sutton R S, Barto A G. Toward a modern theory of adaptive networks: expectation and prediction. Psychol. Rev. 1982; 88: 135–70

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.