局部动态随机网络May-Wigner稳定性定理普适性的证据
Evidence of universality for the May-Wigner stability theorem for random networks with local dynamics
摘要：
我们考虑一个随机网络的非线性映射表现出广泛的本地动态，具有正态分布的相互作用强度的链接。这样一个系统的稳定性检查在一个非零状态下持续存在的节点的渐近分数。标度结果表明，在稳定状态下的生存概率同意非常好的May-Wigner稳定性准则来自线性稳定性参数。这表明随机网络的复杂性-稳定性关系相对于系统的任意全局动力学具有普遍性。
英文摘要：
We consider a random network of nonlinear maps exhibiting a wide range of local dynamics, with the links having normally distributed interaction strengths. The stability of such a system is examined in terms of the asymptotic fraction of nodes that persist in a non-zero state. Scaling results show that the probability of survival in the steady state agrees remarkably well with the May-Wigner stability criterion derived from linear stability arguments. This suggests universality of the complexity-stability relation for random networks with respect to arbitrary global dynamics of the system.
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