ArticleProceedings of the National Academy of Sciences of the United States of America2010
Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 22 papers.
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Who cites it
22 citing papers in PubMed.
- Stability of synchronization manifolds and its nonlinear behaviour in memristive coupled discrete neuron model.Cognitive neurodynamics · 2024Article
- Synaptic reorganization of synchronized neuronal networks with synaptic weight and structural plasticity.PLoS computational biology · 2024Article
- Analytic relationship of relative synchronizability to network structure and motifs.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- The time-evolving epileptic brain network: concepts, definitions, accomplishments, perspectives.Frontiers in network physiology · 2023Review
- Alterations in white matter network dynamics in patients with schizophrenia and bipolar disorder.Human brain mapping · 2022Article
- Functional control of oscillator networks.Nature communications · 2022Article
- Designing temporal networks that synchronize under resource constraints.Nature communications · 2021Article
- Large-Scale Desynchronization During Interictal Epileptic Discharges Recorded With Intracranial EEG.Frontiers in neurology · 2020Article
- Topology Effects on Sparse Control of Complex Networks with Laplacian Dynamics.Scientific reports · 2019Article
- Antagonistic Phenomena in Network Dynamics.Annual review of condensed matter physics · 2018Article
- Connection adaption for control of networked mobile chaotic agents.Scientific reports · 2017Article
- Foot force models of crowd dynamics on a wobbly bridge.Science advances · 2017Article
- Developmental increases in white matter network controllability support a growing diversity of brain dynamics.Nature communications · 2017Article
- Interaction Control to Synchronize Non-synchronizable Networks.Scientific reports · 2016Article
- Synchronization in networks with multiple interaction layers.Science advances · 2016Article
- Synchronization in slowly switching networks of coupled oscillators.Scientific reports · 2016Article
- Optimal synchronization of directed complex networks.Chaos (Woodbury, N.Y.) · 2016Article
- Limitations and tradeoffs in synchronization of large-scale networks with uncertain links.Scientific reports · 2016Article
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2 authors.
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Abstract
Synchronization, in which individual dynamical units keep in pace with each other in a decentralized fashion, depends both on the dynamical units and on the properties of the interaction network. Yet, the role played by the network has resisted comprehensive characterization within the prevailing paradigm that interactions facilitating pairwise synchronization also facilitate collective synchronization. Here we challenge this paradigm and show that networks with best complete synchronization, least coupling cost, and maximum dynamical robustness, have arbitrary complexity but quantized total interaction strength, which constrains the allowed number of connections. It stems from this characterization that negative interactions as well as link removals can be used to systematically improve and optimize synchronization properties in both directed and undirected networks. These results extend the recently discovered compensatory perturbations in metabolic networks to the realm of oscillator networks and demonstrate why "less can be more" in network synchronization.
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