Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs

Haschke R, Steil JJ, Ritter H (2001)
In: Artificial Neural Networks - ICANN 2001. Dorffner G, Bischof H, Hornik K (Eds); Lecture notes in computer science, 2130. Springer: 1109-1114.

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Conference Paper | Published | English
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Editor
Dorffner, Georg ; Bischof, Horst ; Hornik, Kurt
Abstract
We derive analytical expressions of codim-1-bifurcations for a fully connected, additive two-neuron network with sigmoidal activations, where the two external inputs are regarded as bifurcation parameters. The obtained Neimark-Sacker bifurcation curve encloses a region in input space with stable oscillatory behaviour, in which it is possible to control the oscillation frequency by adjusting the inputs.
Publishing Year
Conference
International Conference on Artificial Neural Networks (ICANN 2001)
Location
Vienna, Austria
Conference Date
2001-08-21 – 2001-08-25
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Haschke R, Steil JJ, Ritter H. Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs. In: Dorffner G, Bischof H, Hornik K, eds. Artificial Neural Networks - ICANN 2001. Lecture notes in computer science. Vol 2130. Springer; 2001: 1109-1114.
Haschke, R., Steil, J. J., & Ritter, H. (2001). Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs. In G. Dorffner, H. Bischof, & K. Hornik (Eds.), Lecture notes in computer science: Vol. 2130. Artificial Neural Networks - ICANN 2001 (pp. 1109-1114). Springer.
Haschke, R., Steil, J. J., and Ritter, H. (2001). “Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs” in Artificial Neural Networks - ICANN 2001, ed. G. Dorffner, H. Bischof, and K. Hornik Lecture notes in computer science, vol. 2130, (Springer), 1109-1114.
Haschke, R., Steil, J.J., & Ritter, H., 2001. Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs. In G. Dorffner, H. Bischof, & K. Hornik, eds. Artificial Neural Networks - ICANN 2001. Lecture notes in computer science. no.2130 Springer, pp. 1109-1114.
R. Haschke, J.J. Steil, and H. Ritter, “Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs”, Artificial Neural Networks - ICANN 2001, G. Dorffner, H. Bischof, and K. Hornik, eds., Lecture notes in computer science, vol. 2130, Springer, 2001, pp.1109-1114.
Haschke, R., Steil, J.J., Ritter, H.: Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs. In: Dorffner, G., Bischof, H., and Hornik, K. (eds.) Artificial Neural Networks - ICANN 2001. Lecture notes in computer science. 2130, p. 1109-1114. Springer (2001).
Haschke, Robert, Steil, Jochen J., and Ritter, Helge. “Controlling oscillatory behaviour of a two neuron recurrent neural network using inputs”. Artificial Neural Networks - ICANN 2001. Ed. Georg Dorffner, Horst Bischof, and Kurt Hornik. Springer, 2001.Vol. 2130. Lecture notes in computer science. 1109-1114.
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