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Automated tuning of bifurcations via feedback

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arxiv math/0208167 v1 pith:A3PS2PAE submitted 2002-08-22 math.OC q-bio

Automated tuning of bifurcations via feedback

classification math.OC q-bio
keywords problembifurcationscontrolfeedbackneuraltuningactivityadaptive
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The present paper studies a feedback regulation problem, which may be interpreted as an adaptive control problem, but has not yet been studied in the control literature. The problem, which arises in at least two different biological applications (Hopf bifurcations in the auditory system, and neural integrators used to maintain persistent neural activity), is that of tuning a parameter so as to bring it to a value at which a bifurcation takes place.

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