OSCILLATOR DEATH IN SYSTEMS OF COUPLED NEURAL OSCILLATORS

OSCILLATOR DEATH IN SYSTEMS OF COUPLED NEURAL OSCILLATORS
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DOI:
10.1137/0150009
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发表时间:
1990-02-01
影响因子:
1.9
通讯作者:
KOPELL, N
KOPELL, N
中科院分区:
数学4区
文献类型:
--
作者:
ERMENTROUT, GB;KOPELL, N

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弱耦合振荡器系统中的锁相可以通过检查相关系统来预测,其中耦合在振荡器周期上被平均。如果耦合较大,则此操作失败。结果表明,在大的相互作用的存在下,一对或一个链的振荡器可能会发展一个新的稳定的平衡状态,对应于振荡的停止。这种现象对于神经类型的相互作用是鲁棒的,并且不会发生在弱耦合的系统中。
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.