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Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

物理与社会 · 物理学 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

The possible dynamics of an ecosystem with three interconnected patches among which one population can migrate are investigated, paying attention to the consequences that possible disruption in the communicating paths can cause.

动力系统 · 数学 2014-03-19 Carlotta Gazzola , Ezio Venturino

This paper studies opinion dynamics in multilayer (social) networks. Extending a single-layer model, we formulate opinion updates as a synchronous coordination game in which agents minimize a local cost to stay close to their neighbors'…

计算机科学与博弈论 · 计算机科学 2026-05-21 Ruey-An Shiu , Parinaz Naghizadeh

A multiplex network of identical dynamical units becomes resilient against parameter perturbation by adding selective linear diffusive cross-coupling links. A parameter drift at any instant in one or multiple network nodes can destroy…

适应与自组织系统 · 物理学 2022-03-04 Suman Saha

Elements composing complex systems usually interact in several different ways and as such the interaction architecture is well modelled by a multiplex network. However often this architecture is hidden, as one usually only has experimental…

Synchronization is an omnipresent collective phenomenon in nature and technology, whose understanding is in particular for real-world systems still elusive. We study the synchronization transition in a phase oscillator system with two…

适应与自组织系统 · 物理学 2023-08-02 Rico Berner , Annie Lu , Igor M. Sokolov

The dynamics of string junctions and their influence on the evolution of cosmic superstring networks are studied in full detail. We review kinematic constraints for colliding strings in a Friedmann-Lema\^itre-Robertson-Walker background and…

宇宙学与河外天体物理 · 物理学 2019-03-27 I. Yu. Rybak , A. Avgoustidis , C. J. A. P. Martins

In the last decades, complex networks theory significantly influenced other disciplines on the modeling of both static and dynamic aspects of systems observed in nature. This work aims to investigate the effects of networks' topological…

神经与进化计算 · 计算机科学 2012-02-09 Matteo De Felice , Sandro Meloni , Stefano Panzieri

We study remote (or relay) synchronization in multilayer networks between parts of one layer and their counterparts in a second layer, where these two layers are not directly connected. A simple realization of such a system is a triplex…

适应与自组织系统 · 物理学 2019-01-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

The paradigm of layered networks is used to describe many real-world systems -- from biological networks, to social organizations and transportation systems. Recently there has been much progress in understanding the general properties of…

Recent studies have shown that novel collective behaviors emerge in complex systems due to the presence of higher-order interactions. However, how the collective behavior of a system is influenced by the microscopic organization of its…

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

动力系统 · 数学 2023-03-31 Paolo Bartesaghi

This paper proposes a simple model to capture the complexity of multi-layer systems where their constituent layers affect, are affected by, each other. The physical layer is a circuit composed by a power source and resistors in parallel.…

多智能体系统 · 计算机科学 2016-02-09 Florian Kühnlenz , Pedro H. J. Nardelli

Recent developments in complex systems have witnessed that many real-world scenarios, successfully represented as networks are not always restricted to binary interactions but often include higher-order interactions among the nodes. These…

适应与自组织系统 · 物理学 2022-04-22 Md Sayeed Anwar , Dibakar Ghosh

Starting from the concept of binary interactions between pairs of particles, a kinetic framework for the description of the action potential dynamics on a neural network is proposed. It consists of two coupled levels: the description of a…

生物物理 · 物理学 2023-03-21 Martina Conte , Maria Groppi , Andrea Tosin

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the…

其他凝聚态物理 · 物理学 2007-09-23 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

Understanding how the interplay between higher-order and multilayer structures of interconnections influences the synchronization behaviors of dynamical systems is a feasible problem of interest, with possible application in essential…

混沌动力学 · 物理学 2022-09-05 Md Sayeed Anwar , Dibakar Ghosh

We examine the onset of synchronization transition in a star network of Kuramoto phase oscillators in the presence of inertia and a time delay in the coupling. A direct correlation between the natural frequencies of the oscillators and…

适应与自组织系统 · 物理学 2014-07-30 Ajay Deep Kachhvah , Abhijit Sen

Dynamical patterns in complex networks of coupled oscillators are both of theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an outstanding…

混沌动力学 · 物理学 2017-04-03 Dongmei Song , Yafeng Wang , Xiang Gao , Shi-Xian Qu , Ying-Cheng Lai , Xingang Wang

In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include…