Switching in Self-Controlled Chaotic Neuromodules

Nico Stollenwerk, Frank Pasemann

Forschungszentrum Jülich

The activity dynamics of clusters of neurons can exhibit deterministic chaos due to the nonlinear threshold. Chaotic attractors are winded around infinitely many unstable periodic orbits, each being stabilizable by a feedbackcontrol with small controlling signals. In the present article this flexibility of chaotic dynamic systems is explored to construct a module which is able to switch between several dynamic patterns in two different ways: either with deterministic switching by external inputs or with spontaneous switching by dynamic patterns. It has all the possible motions present, like an attentive state between different stimuli.

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