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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

The synchronization of human networks is essential for our civilization, and understanding the motivations, behavior, and basic parameters that govern the dynamics of human networks is important in many aspects of our lives. Human ensembles…

适应与自组织系统 · 物理学 2020-08-26 Shir Shahal , Ateret Wurzberg , Inbar Sibony , Hamootal Duadi , Elad Shniderman , Daniel Weymouth , Nir Davidson , Moti Fridman

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

最优化与控制 · 数学 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

In this paper, we discuss distributive synchronization of complex networks in finite time, with a single nonlinear pinning controller. The results apply to heterogeneous dynamic networks, too. Different from many models, which assume the…

适应与自组织系统 · 物理学 2021-05-25 Tianping Chen , Wenlian Lu , Xiwei lIu

In this paper, we study complete synchronization of the complex dynamical networks described by linearly coupled ordinary differential equation systems (LCODEs). The coupling considered here is time-varying in both the network structure and…

动力系统 · 数学 2013-11-12 Xinlei Yi , Wenlian Lu , Tianping Chen

Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

物理与社会 · 物理学 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

无序系统与神经网络 · 物理学 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

适应与自组织系统 · 物理学 2015-08-24 Per Sebastian Skardal , Alex Arenas

In this paper, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. An evolving hyper-network model is proposed for better describing some complex systems. A concept of joint degree is…

适应与自组织系统 · 物理学 2015-03-13 Zhaoyan Wu , Jinqiao Duan , Xinchu Fu

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

物理与社会 · 物理学 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

Although the set of permutation symmetries of a complex network can be very large, few of the symmetries give rise to stable synchronous patterns. Here we present a new framework and develop techniques for controlling synchronization…

混沌动力学 · 物理学 2016-05-04 Weijie Lin , Huawei Fan , Ying Wang , Heping Ying , Xingang Wang

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…

混沌动力学 · 物理学 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

统计力学 · 物理学 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli

In this paper, the synchronization of heterogeneous agents interacting over a dynamical network is studied. The edge dynamics can model the inter-agent communications which are often heterogeneous by nature. They can also model the…

系统与控制 · 电气工程与系统科学 2022-11-09 Dan Wang , Wei Chen , Li Qiu

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

适应与自组织系统 · 物理学 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

We study the dynamics of networks with coupling delay, from which the connectivity changes over time. The synchronization properties are shown to depend on the interplay of three time scales: the internal time scale of the dynamics, the…

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

适应与自组织系统 · 物理学 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of…

系统与控制 · 电气工程与系统科学 2021-05-07 Chai Wah Wu

We propose a conceptually novel method of reconstructing the topology of dynamical networks. By examining the correlation between the variable of one node and the derivative of another node, we derive a simple matrix equation yielding the…

数据分析、统计与概率 · 物理学 2015-06-11 Zoran Levnajić

In this paper, we address the finite time synchronization of a network of dynamical systems with time-varying interactions modeled using temporal networks. We synchronize a few nodes initially using external control inputs. These nodes are…

系统与控制 · 电气工程与系统科学 2024-03-15 Aandrew Baggio S , Rachel Kalpana Kalaimani