Oscillator death in systems of coupled neural oscillators. (English) Zbl 0686.34033

Summary: Phase-locking in a system of oscillators that are weakly coupled can be predicted by examining a related system in which the coupling is averaged over the oscillator cycle. This fails if the coupling is large. It is shown that in the presence of large interactions, a pair or a chain of oscillators may develop a new stable equilibrium state that corresponds to the cessation of oscillation. This phenomenon is robust for neural type interactions and does not happen in systems that are weakly coupled.


34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
92C50 Medical applications (general)
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