Catastrophic cascade of failures in interdependent networks

Abstract

Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one another. Failure of a fraction of nodes in one network may lead to a failure in another network. This in turn may cause further malfunction of additional nodes in the first network and so on. Such a cascade of failures, triggered by a failure of a small faction of nodes in only one network, may lead to the complete fragmentation of all networks. We introduce a model and an analytical framework for studying interdependent networks. We obtain interesting and surprising results that should significantly effect the design of robust real-world networks. For two interdependent Erdos-Renyi (ER) networks, we find that the critical average degree below which both networks collapse is <k_c>=2.445, compared to <k_c>=1 for a single ER network. Furthermore, while for a single network a broader degree distribution of the network nodes results in higher robustness to random failure, for interdependent networks, the broader the distribution is, the more vulnerable the networks become to random failure.

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• Chaotic Griffiths Phase with Anomalous Lyapunov Spectra in Coupled Map Networks
• Link deletion in directed complex networks
• Discrete Scale Invariance in Supercritical Percolation
• Interspecific competition underlying mutualistic networks
• Controlling Human Utilization of Failure-Prone Systems via Taxes
• Spontaneous symmetry breaking and discontinuous phase transition for spreading dynamics in multiplex networks
• Dynamical Diagnosis and Solutions for Resilient Natural and Social Systems
• Ranking the Economic Importance of Countries and Industries
• Flipping coin experiment for studying switching in Josephson junctions and superconducting wires
• Limits of Risk Predictability in a Cascading Alternating Renewal Process Model
• Growing Self-organized Design of Efficient and Robust Complex Networks
• Decreased resilience in power grids under dynamically induced vulnerabilities
• Link overlap influences opinion dynamics on multiplex networks: spin model approach
• Critical phenomena on k-booklets
• Limits and trade-offs of topological network robustness
• Universality and scaling laws in the cascading failure model with healing
• Reconstruction of multiplex networks via graph embeddings
• Synchronization in leader-follower switching dynamics
• Evidence of market manipulation in the financial crisis
• Higher-order triadic percolation on random hypergraphs
• Two golden times in two-step contagion models
• A multilayer, multi-timescale model approach for economic and frequency control in power grids
• Exact solution of bond percolation on small arbitrary graphs
• Hyper-diffusion on multiplex networks
• Alternative criterion for two-dimensional wrapping percolation
• Controlling Complex Networks with Compensatory Perturbations
• Optimization Problems in Correlated Networks
• Understanding Information Transmission in Complex Networks
• Random node reinforcement and $K$-core structure of complex networks
• Evolving Powergrids in Self-Organized Criticality: An analogy with Sandpile and Earthquakes
• Approximation methods for the stability of complete synchronization on duplex networks
• Geographic characterization of railway systems
• General theory for extended-range percolation on simple and multiplex networks
• Enhanced robustness of single-layer networks with redundant dependencies
• Co-Contagion Diffusion on Multilayer Networks
• Role of bridge nodes in epidemic spreading: Different regimes and crossovers
• Mitigating Cascading Failures in Interdependent Power Grids and Communication Networks
• Weak percolation on multiplex networks with overlapping edges
• Big Data Processing in Complex Hierarchical Network Systems
• Performance of attack strategies on modular networks
• Quantum Communication Networks Enhanced by Distributed Quantum Memories
• On the Entity Hardening Problem in Multi-layered Interdependent Networks
• Generalized $k$-core pruning process on directed networks
• Forest Fire Model as a Supercritical Dynamic Model in Financial Systems
• Enhanced robustness of evolving open systems by the bidirectionality of interactions between elements
• Critical fragility in socio-technical systems
• History-dependent percolation in two dimensions
• Infection-induced Cascading Failures -- Impact and Mitigation
• Percolation in Media with Columnar Disorder
• Finite plateau in spectral gap of polychromatic constrained random networks
• Node-layer duality in networked systems
• Emergent information dynamics in many-body interconnected systems
• A Reference Architecture for the American Multi-Modal Energy System
• Multiple structural transitions in interacting networks
• Explosive dismantling of two-dimensional random lattices under betweenness centrality attacks
• Fragility and anomalous susceptibility of weakly interacting networks
• Multiplex reconstruction with partial information
• Optimal interdependence enhances robustness of complex systems
• Avoidance, Adjacency, and Association in Distributed Systems Design
• Faster calculation of the percolation correlation length on spatial networks
• Hysteresis and criticality in hybrid percolation transitions
• Robustness and Resilience of cities around the world
• Dynamic Vaccination Game in a Heterogeneous Mixing Population
• Optimizing spreading dynamics in interconnected networks
• Robustness Assessment of Complex Networks using the Idle Network
• Robustness of Interdependent Random Geometric Networks
• Vitality of Neural Networks under Reoccurring Catastrophic Failures
• A generalized voter model with time-decaying memory on a multilayer network
• Vulnerability Assessment of Power Grids Based on Both Topological and Electrical Properties
• Ferromagnetic transition in a simple variant of the Ising model on multiplex networks
• Dose-response functions and surrogate models for exploring social contagion in the Copenhagen Networks Study
• Competition between surface relaxation and ballistic deposition models in scale free networks
• How modular structure determines operational resilience of power grids
• Conditions for viral influence spreading through multiplex correlated social networks
• Network resilience in the presence of non-equilibrium dynamics
• Response to targeted perturbations for random walks on networks
• Spatio-temporal propagation of cascading overload failures
• Peak fraction of infected in epidemic spreading for multi-community networks
• Resource dependency and survivability in complex networks
• Observability transition in multiplex networks
• Phase diagram and metastability of the Ising model on two coupled networks
• Static and dynamic behavior of multiplex networks under interlink strength variation
• Emergent lifetime distribution from complex network systems aging
• Vulnerable Connectivity Caused by Local Communities in Spatial Networks
• Spontaneous repulsion in the $A+B\to 0$ reaction on coupled networks
• Classical mechanics of economic networks
• Design of endurable networks in the presence of aging
• Reaction-Diffusion Processes on Interconnected Scale-Free Networks
• The Waiting-Time Distribution for Network Partitions in Cascading Failures in Power Networks
• Multilayer network analysis of nuclear reactions
• Realizing interdependent couplings as thermal or higher-order interactions
• Quantifying plasticity: a network-based framework linking structure to dynamical regimes
• A study of cascading failures in real and synthetic power grid topologies using DC power flows
• Modeling resource consumption in the US air transportation system via minimum-cost percolation
• Robust Design from Systems Physics
• Robustness of Bidirectional Interdependent Networks: Analysis and Design
• Resilience of antagonistic networks with regard to the effects of initial failures and degree-degree correlations
• Percolation Transitions in Growing Networks Under Achlioptas Processes: Analytic Solutions
• The Atlas for the Aspiring Network Scientist
• Hazard-Responsive Digital Twin for Climate-Driven Urban Resilience and Equity
• Robust Routing in Interdependent Networks
• Triadic percolation on multilayer networks
• Analysis and Optimization of Robustness in Multiplex Flow Networks Against Cascading Failures
• Designing Optimal Multiplex Networks for Certain Laplacian Spectral Properties
• No-exclaves percolation on random networks
• Link rewiring with local information--induced hybrid percolation transitions
• The $q$-neighbor Ising model on multiplex networks with partial overlap of nodes
• Analyzing Network Reliability Using Structural Motifs
• Localized attack on clustering networks
• Fluctuation-induced traffic congestion in heterogeneous networks
• Structural transition in interdependent networks with regular interconnections
• MultiAspect Graphs: Algebraic representation and algorithms
• Nesting of dynamic systems and mode-dependent networks
• Synchronization in interacting Scale Free Networks
• Converging Work-Talk Patterns in Online Task-Oriented Communities
• Two-Population Dynamics in a Growing Network Model
• Induced Percolation on Networked Systems
• Component Importance and Interdependence Analysis for Transmission, Distribution and Communication Systems
• Structural instability of large-scale functional networks
• The sharp threshold for jigsaw percolation in random graphs
• Null models for multi-optimized large-scale network structures
• Deep Learning Super-Diffusion in Multiplex Networks
• Crossover behavior of conductivity in a discontinuous percolation model
• Identification of $\mathcal{K}$ Most Vulnerable Nodes in Multi-layered Network Using a New Model of Interdependency
• PTSC: a New Definition for Structural Controllability under Numerical Perturbations
• Influence of long-range interactions on strategy selection in crowd
• State Estimation in Unobservable Power Systems via Graph Signal Processing Tools
• Emergent networks in fractional percolation
• Hidden transition in multiplex networks
• Multiscale modeling of brain network organization
• Network Composition from Multi-layer Data
• Influence of media on collective debates
• Flow Characteristics and Cores of Complex Network and Multiplex Type Systems
• Usage leading to an abrupt collapse of connectivity
• Asymmetrically interacting spreading dynamics on complex layered networks
• Ising model for distribution networks
• Predicting Lifetime of Dynamical Networks Experiencing Persistent Random Attacks
• Sandpile cascades on interacting tree-like networks
• Game among Interdependent Networks: The Impact of Rationality on System Robustness
• Weak Multiplex Percolation
• Discontinuous percolation via suppression of neighboring clusters in a network
• Reaction-diffusion on random spatial networks with scale-free jumping rates via effective medium theory
• Complex networks of interacting stochastic tipping elements: cooperativity of phase separation in the large-system limit
• Discontinuous transition in explosive percolation via local suppression
• Janus Percolation in Anisotropic Limited-Degree Networks
• Thermodynamic analysis of diverse percolation transitions
• Distributed Stabilization of Two Interdependent Markov Jump Linear Systems with Partial Information
• Influence Robustness of Nodes in Multiplex Networks against Attacks
• DeepPR: Progressive Recovery for Interdependent VNFs with Deep Reinforcement Learning
• Symmetric and Asymmetric Tendencies in Stable Complex Systems
• Structural prediction of super-diffusion in multiplex networks
• Generalized network recovery based on topology and optimization for real-world systems
• Vulnerability of Transport through Evolving Spatial Networks
• Global decomposition of networks into multiple cores formed by local hubs
• Explosive Synchronization in Multilayer Dynamically Dissimilar Networks
• A computational study explaining processes underlying phase transition
• Dynamical leaps due to microscopic changes in multiplex networks
• Fluctuations of a surface relaxation model in interacting scale free networks
• Reconstructing propagation networks with temporal similarity metrics
• Identifying Influential Links for Event Propagation on Twitter: A Network of Networks Approach
• Cascading Failures in Finite-Size Random Geometric Networks
• Emergence of chaos in interacting communities
• Prevailing against Adversarial Noncentral Disturbances: Exact Recovery of Linear Systems with the $l_1$-norm Estimator
• Reconstruction of multiplex networks with correlated layers
• A Tensor-Based Framework for Studying Eigenvector Multicentrality in Multilayer Networks
• Spreader events and the limitations of projected networks for capturing dynamics on multipartite networks
• Superexponential growth of epidemics in networks with cliques
• Random growth lattice filling model of percolation: a crossover from continuous to discontinuous transition
• External field and critical exponents in controlling dynamics on complex networks
• Non-equilibrium random walks on multiplex networks
• Detecting contagious spreading of urban innovations on the global city network
• Structural Vulnerability of Power Grids to Disasters: Bounds, Adversarial Attacks and Reinforcement
• Multiplexity amplifies geometry in networks
• An Open Source Modeling Framework for Interdependent Energy-Transportation- Communication Infrastructure in Smart and Connected Communities
• Predicting the cascading dynamics in complex networks via the bimodal failure size distribution
• Aggregate-networks and p-cores of monoflow partially overlapped multilayer systems
• Recovery of Interdependent Networks
• Crash dynamics of interdependent networks
• Identifying early-warning indicators of tipping points in networked systems against sequential attacks
• Global Networks of Trade and Bits
• Anomalous percolation transitions beyond the BKT transition in growing networks
• The healing strategy by prioritizing minimum degree against localized attacks on interdependent spatially embedded networks
• Exploring the Disproportion Between Scientific Productivity and Knowledge Amount
• Aggregated evaluation of operation quality of complex hierarchical network systems
• Maximizing the algebraic connectivity in multilayer networks with arbitrary interconnections
• Structural Changes and Percolation Transition in Networks after Aging Processes
• SAFER-D: A Self-Adaptive Security Framework for Distributed Computing Architectures
• The competitiveness versus the wealth of a country
• A Self-Updating K-Contingency List for Smart Grid System
• Flexible model of network embedding
• Modeling and Analysis of Cascading Failures in Interdependent Cyber-Physical Systems
• Hierarchy of percolation patterns in a kinetic replication model
• Multi-Stage Complex Contagions in Random Multiplex Networks
• Tourism destinations as digital business ecosystems
• Finding $K$ Contingency List in Power Networks using a New Model of Dependency
• Topological security assessment of technological networks
• Increased Network Interdependency Leads to Aging
• Queues on interacting networks
• How universal is the mean-field universality class for percolation in complex networks?
• On Auxiliary Entity Allocation Problem in Multi-layered Interdependent Critical Infrastructures
• From Spatial to Spectral: Network Renormalization via Dynamical Correlations
• Spin-glass transition in the Ising model on multiplex networks
• Interplay between Network Topology and Dynamics in Neural Systems
• Complex Design Networks: Structure and Dynamics
• Phase transition in the diffusion and bootstrap percolation models on regular random and Erdős-Rényi networks
• Cascading failures in anisotropic interdependent networks of spatial modular structures
• Shortest-path percolation on scale-free networks
• Percolation on the institute-enterprise R&D collaboration networks
• Critical behaviors of cascading dynamics on multiplex two-dimensional lattices
• Detecting new edge types in a temporal network model
• Simulating Resilience in Transaction-Oriented Networks
• Network Connectivity: Stochastic vs. Deterministic Wireless Channels
• Quantifying Urban Road Network Vulnerability and Resilience to Attacks
• Coupled effects of local movement and global interaction on contagion
• Hidden multiscale organization and robustness of real multiplex networks
• Optimal coupling patterns in interconnected communication networks
• Data based reconstruction of complex multiplex networks
• On Hardening Problems in Critical Infrastructure Systems
• Persistent Threshold Dynamics with Recovery in Complex Networks
• Multilayer Network Analysis of the Drug Pipeline in the Global Pharmaceutical Industry
• High Tension Lines: Predicting robustness of high-voltage power-grids to cascading failure using network embedding
• Discrimination universally determines reconstruction of multiplex networks
• The impact of analytical outage modeling on expansion planning problems in the area of power systems
• Information Bounds on phase transitions in disordered systems
• Controlling network dynamics
• Identifying super-spreaders in information-epidemic coevolving dynamics on multiplex networks
• Don't go chasing artificial waterfalls: Simulating cascading failures in the power grid and the impact of artificial line-limit methods on results