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The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semi-annealed approximation to study the stability properties of Random Boolean Networks…

Physics and Society · Physics 2012-10-31 Emanuele Cozzo , Alex Arenas , Yamir Moreno

There has been tremendous development of linear controllability of complex networks. Real-world systems are fundamentally nonlinear. Is linear controllability relevant to nonlinear dynamical networks? We identify a common trait underlying…

Dynamical Systems · Mathematics 2019-09-11 Junjie Jiang , Ying-Cheng Lai

Boolean networks have been proposed as potentially useful models for genetic control. An important aspect of these networks is the stability of their dynamics in response to small perturbations. Previous approaches to stability have assumed…

Molecular Networks · Quantitative Biology 2015-05-13 Andrew Pomerance , Edward Ott , Michelle Girvan , Wolfgang Losert

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as…

Optimization and Control · Mathematics 2019-10-15 Tong Zhou

We study the stability of orbits in large Boolean networks with given complex topology. We impose no restrictions on the form of the update rules, which may be correlated with local topological properties of the network. While recent past…

Physics and Society · Physics 2014-09-05 Shane Squires , Andrew Pomerance , Michelle Girvan , Edward Ott

In this work we challenge the main conclusions of Gu et al work (Controllability of structural brain networks. Nature communications 6, 8414, doi:10.1038/ncomms9414, 2015) on brain controllability. Using the same methods and analyses on…

Neurons and Cognition · Quantitative Biology 2018-07-10 Chengyi Tu , Rodrigo P. Rocha , Maurizio Corbetta , Sandro Zampieri , Marzo Zorzi , Samir Suweis

The connection between network topology and stability remains unclear. General approaches that clarify this relationship and allow for more efficient stability analysis would be desirable. Inspired by chemical reaction networks, I…

Chaotic Dynamics · Physics 2013-09-27 Ali Kinkhabwala

The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems) has recently become apparent. Several attempts to tackle…

Chaotic Dynamics · Physics 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

Controllability, a basic property of various networked systems, has gained profound theoretical applications in complex social, technological, biological, and brain networks. Yet, little attention has been given to the control trajectory…

Optimization and Control · Mathematics 2018-06-13 Aming Li , Long Wang , Frank Schweitzer

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

Modern urban resilience is threatened by cascading failures in multimodal transport networks, where localized shocks trigger widespread paralysis. Existing models, limited by their focus on pairwise interactions, often underestimate this…

Social and Information Networks · Computer Science 2025-09-18 Jinghua Song , Yuan Wang , Zimo Yan

This paper deals with strong structural controllability of linear structured systems in which the system matrices are given by zero/nonzero/arbitrary pattern matrices. Instead of assuming that the nonzero and arbitrary entries of the system…

Optimization and Control · Mathematics 2020-03-05 Jiajia Jia , Harry L. Trentelman , Nikolaos Charalampidis , M. Kanat Camlibel

Observing and controlling complex networks are of paramount interest for understanding complex physical, biological and technological systems. Recent studies have made important advances in identifying sensor or driver nodes, through which…

This paper deals with strong structural controllability of linear systems. In contrast to existing work, the structured systems studied in this paper have a so-called zero/nonzero/arbitrary structure, which means that some of the entries…

Optimization and Control · Mathematics 2019-03-11 Jiajia Jia , Henk J. van Waarde , Harry L. Trentelman , M. Kanat Camlibel

Identifying an optimal set of driver nodes to achieve synchronization via pinning control is a fundamental challenge in complex network science, limited by computational intractability and the lack of general theory. Here, leveraging a…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Qingyang Liu , Tianlong Fan , Liming Pan , Linyuan Lü

Adaptive network is a powerful presentation to describe different real-world phenomena. However, current models often neglect higher-order interactions (beyond pairwise interactions) and diverse adaptation types (cooperative and…

Adaptation and Self-Organizing Systems · Physics 2025-01-24 S. Nirmala Jenifer , Dibakar Ghosh , Paulsamy Muruganandam

This paper presents new results and reinterpretation of existing conditions for strong structural controllability in a structured network determined by the zero/non-zero patterns of edges. For diffusively-coupled networks with self-loops,…

General Topology · Mathematics 2025-09-08 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

Social dynamics on a network may be accelerated or decelerated depending on which pairs of individuals in the network communicate early and which pairs do later. The order with which the links in a given network are sequentially used, which…

Physics and Society · Physics 2016-03-18 Naoki Masuda

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…

Disordered Systems and Neural Networks · Physics 2011-11-04 Wen-Xu Wang , Ying-Cheng Lai , Jie Ren , Baowen Li , Celso Grebogi

In this paper, the controllability and observability of linear multi-agent systems over matrix-weighted signed networks are analyzed. Firstly, the definition of equitable partition of matrix-weighted signed multi-agent system is given, and…

Optimization and Control · Mathematics 2022-04-05 Lanhao Zhao , Zhijian Ji , Yungang Liu , Chong Lin