✦ LIBER ✦

Singular-continuous nowhere-differentiable attractors in neural systems

✍ Scribed by Ichiro Tsuda; Akihiro Yamaguchi

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 342 KB
Volume: 11
Category: Article
ISSN: 0893-6080
DOI: 10.1016/s0893-6080(98)00028-8

No coin nor oath required. For personal study only.

✦ Synopsis

We present a neural model for a singular-continuous nowhere-differentiable (SCND) attractors. This model shows various characteristics originated in attractor's nowhere-differentiability, in spite of a differentiable dynamical system. SCND attractors are still unfamiliar in the neural network studies and have not yet been observed in both artificial and biological neural systems. With numerical calculations of various kinds of statistical quantities in artificial neural network, dynamical characters of SCND attractors are strongly suggested to be observed also in neural systems experiments. We also present possible information processings with these attractors.

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