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Breathing synchronization in interconnected networks

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Synchronization in Oscillatory Networks

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Systemic Risks in Society and Economics

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Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities

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Stability switches, bifurcation, and multi-stability of coupled networks with time delays

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Environment-dependent morphology in plasmodium of true slime mold Physarum polycephalum and a network growth model

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Synchronization in general complex dynamical networks with coupling delays

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Complex networks: Structure and dynamics

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Synchronization in complex networks

inferredcites →https://doi.org/10.1016/s0370-1573(02)00137-0openalex-snapshot

The synchronization of chaotic systems

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The Synchronized Dynamics of Complex Systems

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The Synchronized Dynamics of Complex Systems

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Dynamical Processes on Complex Networks

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What you see is what you hear

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Catastrophic cascade of failures in interdependent networks

inferredcites →https://doi.org/10.1038/nphys2180openalex-snapshot

Networks formed from interdependent networks

inferredcites →https://doi.org/10.1038/nphys337openalex-snapshot

Prosperity, complexity and science

inferredcites →https://doi.org/10.1038/srep00658openalex-snapshot

How to suppress undesired synchronization

inferredcites →https://doi.org/10.1038/srep01344openalex-snapshot

Emergence of network features from multiplexity

inferredcites →https://doi.org/10.1038/srep01969openalex-snapshot

Towards designing robust coupled networks

inferredcites →https://doi.org/10.1063/1.3072787openalex-snapshot

Generalized outer synchronization between complex dynamical networks

inferredcites →https://doi.org/10.1073/pnas.1009440108openalex-snapshot

Mitigation of malicious attacks on networks

inferredcites →https://doi.org/10.1073/pnas.1106612109openalex-snapshot

A small world of weak ties provides optimal global integration of self-similar modules in functional brain networks

inferredcites →https://doi.org/10.1073/pnas.1110586109openalex-snapshot

Suppressing cascades of load in interdependent networks

inferredcites →https://doi.org/10.1088/1742-5468/2011/01/p01027openalex-snapshot

Onion-like network topology enhances robustness against malicious attacks

inferredcites →https://doi.org/10.1093/comnet/cnt010openalex-snapshot

Smart rewiring for network robustness

inferredcites →https://doi.org/10.1103/physreve.61.371openalex-snapshot

Synchronization in a system of globally coupled oscillators with time delay

inferredcites →https://doi.org/10.1103/physreve.61.6987openalex-snapshot

Physics of the rhythmic applause

inferredcites →https://doi.org/10.1103/physreve.76.046204openalex-snapshot

Synchronization between two coupled complex networks

inferredcites →https://doi.org/10.1103/physreve.76.056114openalex-snapshot

Network synchronization of groups

inferredcites →https://doi.org/10.1103/physreve.80.027201openalex-snapshot

Generalized synchronization of complex networks

inferredcites →https://doi.org/10.1103/physreve.86.016202openalex-snapshot

Cluster and group synchronization in delay-coupled networks

inferredcites →https://doi.org/10.1103/physreve.87.042810openalex-snapshot

Optimal transport exponent in spatially embedded networks

inferredcites →https://doi.org/10.1103/physreve.87.043302openalex-snapshot

Algorithm to determine the percolation largest component in interconnected networks

inferredcites →https://doi.org/10.1103/physrevlett.104.018701openalex-snapshot

Towards Design Principles for Optimal Transport Networks

inferredcites →https://doi.org/10.1103/physrevlett.110.028701openalex-snapshot

Diffusion Dynamics on Multiplex Networks

inferredcites →https://doi.org/10.1103/physrevlett.110.064104openalex-snapshot

Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators

inferredcites →https://doi.org/10.1103/physrevlett.110.064106openalex-snapshot

Optimal Synchronizability of Bearings

inferredcites →https://doi.org/10.1103/physrevlett.110.174102openalex-snapshot

Remote Synchronization Reveals Network Symmetries and Functional Modules

inferredcites →https://doi.org/10.1103/physrevlett.82.648openalex-snapshot

Time Delay in the Kuramoto Model of Coupled Oscillators

inferredcites →https://doi.org/10.1103/physrevlett.85.2026openalex-snapshot

Time Delay Effect in a Living Coupled Oscillator System with the Plasmodium ofPhysarum polycephalum

inferredcites →https://doi.org/10.1103/revmodphys.77.137openalex-snapshot

The Kuramoto model: A simple paradigm for synchronization phenomena

inferredcites →https://doi.org/10.1109/tac.2005.849233openalex-snapshot

A time-varying complex dynamical network model and its controlled synchronization criteria

inferredcites →https://doi.org/10.1113/jphysiol.1952.sp004764openalex-snapshot

A quantitative description of membrane current and its application to conduction and excitation in nerve

inferredcites →https://doi.org/10.1142/9789812814050_0005openalex-snapshot

Synchronization of Complex Networks

inferredcites →https://doi.org/10.1142/s0218127402004802openalex-snapshot

COMPLEX NETWORKS: TOPOLOGY, DYNAMICS AND SYNCHRONIZATION

inferredcites →https://doi.org/10.1143/ptp.81.939openalex-snapshot

Mutual Entrainment of Two Limit Cycle Oscillators with Time Delayed Coupling

inferredcites →https://doi.org/10.1162/089892903321107792openalex-snapshot

Visual Localization Ability Influences Cross-Modal Bias

inferredcites →https://doi.org/10.1209/epl/i2004-10365-4openalex-snapshot

Enhancing complex-network synchronization

inferredcites →https://doi.org/10.3929/ethz-b-000055636openalex-snapshot

How to suppress undesired synchronization

inferredcites →https://doi.org/10.3929/ethz-b-000068244openalex-snapshot

Towards designing robust coupled networks

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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The Cacophony of Interconnected Networks

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The Need for Hetero-functional Graph Theory

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Projective lag synchronization in drive-response dynamical networks with delay coupling via hybrid feedback control

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Stability, bifurcation, and synchronization of delay-coupled ring neural networks

inferred← citeshttps://doi.org/10.1007/s11071-018-4195-0openalex-snapshot

Synchronization properties of interconnected network based on the vital node

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Adaptive synchronization of opinions based on multi-layer time-varying networks

inferred← citeshttps://doi.org/10.1016/j.chaos.2021.110882openalex-snapshot

Synchronization in multiplex networks of chaotic oscillators with frequency mismatch

inferred← citeshttps://doi.org/10.1016/j.chaos.2022.112521openalex-snapshot

Multiplexing noise induces synchronization in multilayer networks

inferred← citeshttps://doi.org/10.1016/j.cnsns.2020.105489openalex-snapshot

Synchronization effects for dissipative and inertial coupling between multiplex lattices

inferred← citeshttps://doi.org/10.1016/j.neucom.2016.05.043openalex-snapshot

Adaptive projective lag synchronization of uncertain complex dynamical networks with disturbance

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A topological investigation of phase transitions of cascading failures in power grids

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The structure and dynamics of multilayer networks

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The Kuramoto model in complex networks

inferred← citeshttps://doi.org/10.1016/j.physrep.2016.10.004openalex-snapshot

Explosive transitions in complex networks’ structure and dynamics: Percolation and synchronization

inferred← citeshttps://doi.org/10.1038/s41598-018-26945-wopenalex-snapshot

Relay synchronization in multiplex networks

inferred← citeshttps://doi.org/10.1038/s41598-022-19333-yopenalex-snapshot

A tensor-based formulation of hetero-functional graph theory

inferred← citeshttps://doi.org/10.1038/s42003-025-08667-8openalex-snapshot

Evaluating in-vivo spontaneous firing rate in the brain based on neuronal noise modeling

inferred← citeshttps://doi.org/10.1038/srep10015openalex-snapshot

Physiologically motivated multiplex Kuramoto model describes phase diagram of cortical activity

inferred← citeshttps://doi.org/10.1038/srep10840openalex-snapshot

Pattern formation in multiplex networks

inferred← citeshttps://doi.org/10.1038/srep17277openalex-snapshot

Extreme events in multilayer, interdependent complex networks and control

inferred← citeshttps://doi.org/10.1038/srep26596openalex-snapshot

Enhancing synchronization stability in a multi-area power grid

inferred← citeshttps://doi.org/10.1038/srep45475openalex-snapshot

Inter-layer synchronization in non-identical multi-layer networks

inferred← citeshttps://doi.org/10.1063/1.4931337openalex-snapshot

Projective lag synchronization in drive-response dynamical networks via hybrid feedback control

inferred← citeshttps://doi.org/10.1063/1.4952967openalex-snapshot

Inter-layer synchronization in multiplex networks of identical layers

inferred← citeshttps://doi.org/10.1063/1.4979798openalex-snapshot

Interplay of delay and multiplexing: Impact on cluster synchronization

inferred← citeshttps://doi.org/10.1063/1.5000854openalex-snapshot

Dynamics of delay-coupled FitzHugh-Nagumo neural rings

inferred← citeshttps://doi.org/10.1063/1.5008955openalex-snapshot

Maximizing synchronizability of duplex networks

inferred← citeshttps://doi.org/10.1063/1.5039483openalex-snapshot

Complexity and irreducibility of dynamics on networks of networks

inferred← citeshttps://doi.org/10.1063/1.5061819openalex-snapshot

Solitary states in multiplex networks owing to competing interactions

inferred← citeshttps://doi.org/10.1063/5.0023071openalex-snapshot

Control of inter-layer synchronization by multiplexing noise

inferred← citeshttps://doi.org/10.1063/5.0135528openalex-snapshot

The synchronizing role of multiplexing noise: Exploring Kuramoto oscillators and breathing chimeras

inferred← citeshttps://doi.org/10.1080/0022250x.2012.744247openalex-snapshot

Networks: An Introductionby M. E. J. Newman

inferred← citeshttps://doi.org/10.1088/1742-5468/2015/11/p11021openalex-snapshot

Counterpart synchronization of duplex networks with delayed nodes and noise perturbation

inferred← citeshttps://doi.org/10.1093/comnet/cnu016openalex-snapshot

Multilayer networks

inferred← citeshttps://doi.org/10.1093/nsr/nwu020openalex-snapshot

From a single network to a network of networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.001.0001openalex-snapshot

Multilayer Networks: Structure and Function

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.002.0003openalex-snapshot

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Preface

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0001openalex-snapshot

Complex Systems as Multilayer Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0002openalex-snapshot

The Structure of Single Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0003openalex-snapshot

The Dynamics on Single Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0004openalex-snapshot

Multilayer Networks in Nature, Society and Infrastructures

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The Mathematical Definition

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Basic Structural Properties

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Structural Correlations of Multiplex Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0008openalex-snapshot

Communities

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0009openalex-snapshot

Centrality Measures

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0010openalex-snapshot

Multilayer Network Models

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0011openalex-snapshot

Interdependent Multilayer Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0012openalex-snapshot

Classical Percolation, Generalized Percolation and Cascades

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0013openalex-snapshot

Epidemic Spreading

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0014openalex-snapshot

Diffusion

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0015openalex-snapshot

Synchronization, Non-linear Dynamics and Control

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.003.0016openalex-snapshot

Opinion Dynamics and Game Theory

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.005.0001openalex-snapshot

The Barabási–Albert model: the Master Equation

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.005.0002openalex-snapshot

Entropy and Null Models of Single Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.005.0003openalex-snapshot

Growing Multiplex Networks: the Master Equation

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.005.0004openalex-snapshot

Percolation of interdependent networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.005.0005openalex-snapshot

Directed Percolation of Interdependent Networks

inferred← citeshttps://doi.org/10.1093/oso/9780198753919.005.0006openalex-snapshot

Immunization Strategies on Multiplex Networks

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Spectrum of the Supra-Laplacian

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Effect of repulsive links on frustration in attractively coupled networks

inferred← citeshttps://doi.org/10.1103/physreve.103.032310openalex-snapshot

Antiphase synchronization in multiplex networks with attractive and repulsive interactions

inferred← citeshttps://doi.org/10.1103/physreve.107.034313openalex-snapshot

Interlayer antisynchronization in degree-biased duplex networks

inferred← citeshttps://doi.org/10.1103/physreve.89.042811openalex-snapshot

Network robustness of multiplex networks with interlayer degree correlations

inferred← citeshttps://doi.org/10.1103/physreve.95.040301openalex-snapshot

Optimization of synchronizability in multiplex networks by rewiring one layer

inferred← citeshttps://doi.org/10.1103/physreve.96.062308openalex-snapshot

Time-varying multiplex network: Intralayer and interlayer synchronization

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Emergence of synchronization in multiplex networks of mobile Rössler oscillators

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Finding Most Influential Inter-Layer Edges to Enhance Diffusion on Two-Layer Interconnected Networks

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Towards real-world complexity: an introduction to multiplex networks

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Robust projective lag synchronization in drive-response dynamical networks via adaptive control

inferred← citeshttps://doi.org/10.1142/s0129183114500491openalex-snapshot

The structural comparison of central counterparty interoperability

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Projective lag synchronization in drive-response dynamical networks

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Modality transition-based network from multivariate time series for characterizing horizontal oil–water flow patterns

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Finite-time outer synchronization between two complex dynamical networks with on–off coupling

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Transition of synchronization of coupled maps in modular networks

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Phase synchronization in cryptocurrency network and its features

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Processos dinâmicos em redes de agentes móveis

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Adaptive projective lag synchronization of uncertain complex dynamical networks with delay coupling

inferred← citeshttps://doi.org/10.1371/journal.pone.0140774openalex-snapshot

Interactions among Collective Spectators Facilitate Eyeblink Synchronization

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Mutual synchronization of complex structures in interacting ensembles of non-locally coupled rotators

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A Tensor-Based Formulation of Hetero-Functional Graph Theory

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Predicting and Controlling Complex Networks

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Effective Subnetwork Topology for Synchronizing Interconnected Networks of Coupled Phase Oscillators

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