We investigate reservoir computing systems whose dynamics are at critical bifurcation points based on center manifold theorem. We take echo state networks as an example and show that the center manifold defines mapping of the input dynamics to higher dimensional space. We also show that the mapping by center manifolds can contribute to recognition of attractors of input dynamics. The implications for realization of reservoir computing as real physical systems are also discussed.
CITATION STYLE
Yamane, T., Takeda, S., Nakano, D., Tanaka, G., Nakane, R., Nakagawa, S., & Hirose, A. (2016). Dynamics of reservoir computing at the edge of stability. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9947 LNCS, pp. 205–212). Springer Verlag. https://doi.org/10.1007/978-3-319-46687-3_22
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