Controllability of Complex Networks with Nonlinear Dynamics

Details Controllability of Complex Networks with Nonlinear Dynamics Controllability of Complex Networks with Nonlinear Dynamics

2011-07-12

arxiv.org/abs/1107.2177v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

This paper has been withdrawn by the authors. However, other than nonlinear dynamics, our claim that a single-node-control can

Scientific paper

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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