非线性动力学复杂网络的能控性
Controllability of Complex Networks with Nonlinear Dynamics
摘要：
Sun等人对我们在arXiv上发表的题为“Controllability of Complex Networks with Nonlinear Dynamics”的论文发表了深刻的评论arXiv：1108.5739v1。我们同意他们的主要观点，即关于局部期望状态的线性化一般可以被具有非线性状态的线性化复杂网络的局部控制的破坏所破坏。因此，我们撤回手稿。然而，除了非线性动力学之外，我们声称单节点控制可以完全控制具有1D自动力学的一般双向/无向线性网络仍然有效，这与arXiv：1106.2573v3的结论类似（但不同），即具有单个信号的全节点控制可以完全控制任何具有一维自动力学（1D自动力学）的直接线性网络。
英文摘要：
Sun et al. provided an insightful comment arXiv:1108.5739v1 on our manuscript entitled "Controllability of Complex Networks with Nonlinear Dynamics" on arXiv. We agree on their main point that linearization about locally desired states can be violated in general by the breakdown of local control of the linearized complex network with nonlinear state. Therefore, we withdraw our manuscript. However, other than nonlinear dynamics, our claim that a single-node-control can fully control the general bidirectional/undirected linear network with 1D self-dynamics is still valid, which is similar to (but different from) the conclusion of arXiv:1106.2573v3 that all-node-control with a single signal can fully control any direct linear network with nodal-dynamics (1D self-dynamics).
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