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Article Contents

# Periodic solutions for three-dimensional non-monotone cyclic systems with time delays

• We study a model for three cyclically coupled neurons with eventually negative delayed feedback, and without symmetry or monotonicity properties. Periodic solutions are obtained from the Schauder fixed point theorem. It turns out that, contrary to lower dimensional cases, instability at zero does not exclude monotonously decaying solutions.
Mathematics Subject Classification: Primary: 34K13; Secondary: 92B20.

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