Realization of limit cycles by neural networks with piecewise linear activation function

Norikazu Takahashi; Tsuyoshi Yamakawa; Tetsuo Nishi

doi:10.1109/ECCTD.2005.1523047

Realization of limit cycles by neural networks with piecewise linear activation function

Norikazu Takahashi, Tsuyoshi Yamakawa, Tetsuo Nishi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

A simple method of realizing a prescribed limit cycle by means of a continuous-time recurrent neural network with the piecewise-linear activation function is proposed. Since the proposed method is formulated as a set of linear inequalities, we can easily determine parameters of the network by using, for example, the simplex method.

Original language	English
Title of host publication	Proceedings of the 2005 European Conference on Circuit Theory and Design
Pages	7-10
Number of pages	4
Volume	3
DOIs	https://doi.org/10.1109/ECCTD.2005.1523047
Publication status	Published - 2005
Externally published	Yes
Event	2005 European Conference on Circuit Theory and Design - Cork, Ireland Duration: Aug 28 2005 → Sep 2 2005

Other

Other	2005 European Conference on Circuit Theory and Design
Country	Ireland
City	Cork
Period	8/28/05 → 9/2/05

Fingerprint

Recurrent neural networks

Chemical activation

Neural networks

ASJC Scopus subject areas

Engineering(all)

Cite this

Takahashi, N., Yamakawa, T., & Nishi, T. (2005). Realization of limit cycles by neural networks with piecewise linear activation function. In Proceedings of the 2005 European Conference on Circuit Theory and Design (Vol. 3, pp. 7-10). [1523047] https://doi.org/10.1109/ECCTD.2005.1523047

Realization of limit cycles by neural networks with piecewise linear activation function. / Takahashi, Norikazu; Yamakawa, Tsuyoshi; Nishi, Tetsuo.

Proceedings of the 2005 European Conference on Circuit Theory and Design. Vol. 3 2005. p. 7-10 1523047.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takahashi, N, Yamakawa, T & Nishi, T 2005, Realization of limit cycles by neural networks with piecewise linear activation function. in Proceedings of the 2005 European Conference on Circuit Theory and Design. vol. 3, 1523047, pp. 7-10, 2005 European Conference on Circuit Theory and Design, Cork, Ireland, 8/28/05. https://doi.org/10.1109/ECCTD.2005.1523047

Takahashi N, Yamakawa T, Nishi T. Realization of limit cycles by neural networks with piecewise linear activation function. In Proceedings of the 2005 European Conference on Circuit Theory and Design. Vol. 3. 2005. p. 7-10. 1523047 https://doi.org/10.1109/ECCTD.2005.1523047

Takahashi, Norikazu ; Yamakawa, Tsuyoshi ; Nishi, Tetsuo. / Realization of limit cycles by neural networks with piecewise linear activation function. Proceedings of the 2005 European Conference on Circuit Theory and Design. Vol. 3 2005. pp. 7-10

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Access to Document

10.1109/ECCTD.2005.1523047