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Neural Computation, Vol 10, 113-132, Copyright © 1998 by The MIT Press

LETTERS

Near Saddle-Node Bifurcation Behavior as Dynamics in Working Memory for Goal-Directed Behavior

Hiroyuki Nakahara and Kenji Doya

In consideration of working memory as a means for goal-directed behavior in nonstationary environments, we argue that the dynamics of working memory should satisfy two opposing demands: long-term maintenance and quick transition. These two characteristics are contradictory within the linear domain. We propose the near-saddle-node bifurcation behavior of a sigmoidal unit with a self-connection as a candidate of the dynamical mechanism that satisfies both of these demands. It is shown in evolutionary programming experiments that the near-saddle-node bifurcation behavior can be found in recurrent networks optimized for a task that requires efficient use of working memory. The result suggests that the near-saddle-node bifurcation behavior may be a functional necessity for survival in nonstationary environments.


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