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Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

In this paper we consider complex dynamical networks modeled by means of state space systems running in discrete time. We assume that the dependency structure of the variables within the (nonlinear) network equations is known and use…

最优化与控制 · 数学 2017-03-27 Jacob van der Woude

We review our recent work on the synchronization of a network of delay-coupled maps, focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions. We assume…

混沌动力学 · 物理学 2009-11-13 Arturo C. Martí , Marcelo Ponce , Cristina Masoller

We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The results are obtained by constructing and studying the…

动力系统 · 数学 2024-10-23 Hildeberto Jardón-Kojakhmetov , Christian Kuehn , Iacopo P. Longo

Networks model the architecture backbone of complex systems. The backbone itself can change over time leading to what is called `temporal networks'. Interpreting temporal networks as trajectories in graph space of a latent graph dynamics…

物理与社会 · 物理学 2024-12-20 Annalisa Caligiuri , Tobias Galla , Lucas Lacasa

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

社会与信息网络 · 计算机科学 2021-02-10 Xinzhe Zuo , Mason A Porter

In this paper, a necessary and sufficient condition for the controllability of networked systems with heterogeneous dynamics is established where the nodes are higher dimensional linear time invariant systems and the network topology is…

最优化与控制 · 数学 2023-01-09 Abhijith Ajayakumar , Raju K george

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

物理与社会 · 物理学 2021-03-26 Petter Holme , Jari Saramäki

We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a…

物理与社会 · 物理学 2016-04-18 Takaaki Aoki , Luis E. C. Rocha , Thilo Gross

In this paper, tall discrete-time linear systems with multirate outputs are studied. In particular, we focus on their zeros. In systems and control literature zeros of multirate systems are defined as those of their corresponding…

系统与控制 · 计算机科学 2016-11-17 Mohsen Zamani , Giulio Bottegal , Brian D. O. Anderson

The theory of network identification, namely identifying the (weighted) interaction topology among a known number of agents, has been widely developed for linear agents. However, the theory for nonlinear agents using probing inputs is far…

系统与控制 · 计算机科学 2025-01-29 Miel Sharf , Daniel Zelazo

This work examines the problem of topology inference over discrete-time nonlinear stochastic networked dynamical systems. The goal is to recover the underlying digraph linking the network agents, from observations of their state-evolution.…

多智能体系统 · 计算机科学 2019-06-24 Augusto Santos , Vincenzo Matta , Ali H. Sayed

This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

最优化与控制 · 数学 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

The interplay between time scales and structural properties of complex networks of nonlinear oscillators can generate many interesting phenomena, like amplitude death, cluster synchronization, frequency synchronization etc. We study the…

适应与自组织系统 · 物理学 2019-04-23 Kajari Gupta , G. Ambika

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

适应与自组织系统 · 物理学 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

Temporal dynamics, characterised by time-varying degree heterogeneity and homophily effects, are often exhibited in many real-world networks. As observed in an MIT Social Evolution study, the in-degree and out-degree of the nodes show…

统计方法学 · 统计学 2025-07-29 Yuguo Chen , Lianqiang Qu , Jinfeng Xu , Ting Yan , Yunpeng Zhou

The ability to achieve coordinated behavior -- engineered or emergent -- on networked systems has attracted widespread interest over several fields. This interest has led to remarkable advances in developing a theoretical understanding of…

系统与控制 · 电气工程与系统科学 2022-03-29 Hancheng Min , Richard Pates , Enrique Mallada

This paper studies the controllability of networked multi-input-multi-output (MIMO) systems, in which the network topology is weighted and directed, and the nodes are heterogeneous higher-dimensional linear time-invariant (LTI) dynamical…

最优化与控制 · 数学 2020-06-23 Linying Xiang , Peiru Wang , Fei Chen , Guanrong Chen

We propose a method of constructing a network, in which its time structure is directly incorporated, based on a deterministic model from a time series. To construct such a network, we transform a linear model containing terms with different…

其他统计学 · 统计学 2015-06-05 Tomomichi Nakamura , Toshihiro Tanizawa

Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a…

适应与自组织系统 · 物理学 2007-05-23 Jinhu Lu , Guanrong Chen
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