2020arXiv (Cornell University)Open access

Controlling network dynamics

Aming Li, Yang‐Yu Liu

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Abstract

Network science has experienced unprecedented rapid development in the past two decades. The network perspective has also been widely applied to explore various complex systems in great depth. In the first decade, fundamental characteristics of complex network structure, such as the small-worldness, scale-freeness, and modularity, of various complex networked systems were harvested from analyzing big empirical data. The associated dynamical processes on complex networks were also heavily studied. In the second decade, more attention was devoted to investigating the control of complex networked systems, ranging from fundamental theories to practical applications. Here we briefly review recent progress regarding network dynamics and control, mainly concentrating on research questions proposed in the six papers we collected for the topical issue entitled "Network Dynamics and Control" at $Advances~in~Complex~Systems$. This review closes with possible research directions along this line, and several important problems to be solved. We expect that, in the near future, network control will play an even bigger role in more fields, helping us understand and control many complex natural and engineered systems.

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Network science has experienced unprecedented rapid development in the past two decades. The network perspective has also been widely applied to explore various complex systems in great depth. In the first decade, fundamental characteristics of complex network structure, such as the small-worldness, scale-freeness, and modularity, of various complex networked systems were harvested from analyzing big empirical data. The associated dynamical processes on complex networks were also heavily studied. In the second decade, more attention was devoted to investigating the control of complex networked systems, ranging from fundamental theories to practical applications. Here we briefly review recent progress regarding network dynamics and control, mainly concentrating on research questions proposed in the six papers we collected for the topical issue entitled "Network Dynamics and Control" at $Advances~in~Complex~Systems$. This review closes with possible research directions along this line, and several important problems to be solved. We expect that, in the near future, network control will play an even bigger role in more fields, helping us understand and control many complex natural and engineered systems.

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Available abstract

Network science has experienced unprecedented rapid development in the past two decades. The network perspective has also been widely applied to explore various complex systems in great depth. In the first decade, fundamental characteristics of complex network structure, such as the small-worldness, scale-freeness, and modularity, of various complex networked systems were harvested from analyzing big empirical data. The associated dynamical processes on complex networks were also heavily studied. In the second decade, more attention was devoted to investigating the control of complex networked systems, ranging from fundamental theories to practical applications. Here we briefly review recent progress regarding network dynamics and control, mainly concentrating on research questions proposed in the six papers we collected for the topical issue entitled "Network Dynamics and Control" at $Advances~in~Complex~Systems$. This review closes with possible research directions along this line, and several important problems to be solved. We expect that, in the near future, network control will play an even bigger role in more fields, helping us understand and control many complex natural and engineered systems.

Key concepts: Complex network, Modularity (biology), Network science, Network dynamics, Computer science, Complex system, Data science, Human dynamics

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