Gatsby Computational Neuroscience Unit, University College London, 17 Queen Square, London WC1N 3AR, United Kingdom.
Phys Rev Lett. 2000 May 29;84(22):5110-3. doi: 10.1103/PhysRevLett.84.5110.
A general method is presented for the analysis of the asynchronous state in networks of identical, all-to-all coupled, limit-cycle oscillators of arbitrary dimension and with arbitrarily strong coupling. It is shown that, with strong coupling, this state can be destabilized in directions orthogonal to the limit cycle, which may change the units' behavior qualitatively. An example, involving integrate and fire neurons with spike adaptation, exhibits a bifurcation to a synchronized bursting state for strong feedback coupling. The analysis can account for transitions that cannot be studied in the commonly used phase-coupled approximation.
本文提出了一种通用方法，用于分析任意维度、全对全耦合、具有任意强耦合的相同极限环振荡器网络中的异步状态。结果表明，在强耦合情况下，该状态在与极限环正交的方向上可能变得不稳定，这可能会定性地改变单元的行为。一个涉及具有脉冲适应的积分发放神经元的例子表明，对于强反馈耦合，会出现向同步爆发状态的分岔。该分析可以解释在常用的相位耦合近似中无法研究的转变。
