Networks' modulation: How different structural network properties affect the global synchronization of coupled Kuramoto oscillators
In a large variety of systems (biological, physical, social etc.), synchronization occurs when different oscillating objects tune their rhythm when they interact with each other. The different underlying network defining the connectivity properties among these objects drives the global dynamics in a complex fashion and affects the global degree of synchrony of the system. Here we study the impact of such types of different network architectures, such as Fully-Connected, Random, Regular ring lattice graph, Small-World and Scale-Free in the global dynamical activity of a system of coupled Kuramoto phase oscillators. We fix the external stimulation parameters and we measure the global degree of synchrony when different fractions of nodes receive stimulus. These nodes are chosen either randomly or based on their respective strong/weak connectivity properties (centrality, shortest path length and clustering coefficient). Our main finding is, that in Scale-Free and Random networks a sophisticated choice of nodes based on their eigenvector centrality and average shortest path length exhibits a systematic trend in achieving higher degree of synchrony. However, this trend does not occur when using the clustering coefficient as a criterion. For the other types of graphs considered, the choice of the stimulated nodes (randomly vs selectively using the aforementioned criteria) does not seem to have a noticeable effect.
Code (0)
등록된 구현이 없습니다.
Tasks
ClusteringRhythmSimilar Papers 제목 키워드 기반
Neuromodulation Influences Synchronization and Intrinsic Read-out
Background: The roles of neuromodulation in a neural network, such as in a cortical microcolumn, are still incompletely understood. Neuromodulation influences neural processing by presynaptic and postsynaptic regulation …
Global Priors Guided Modulation Network for Joint Super-Resolution and Inverse Tone-Mapping
Joint super-resolution and inverse tone-mapping (SR-ITM) aims to enhance the visual quality of videos that have quality deficiencies in resolution and dynamic range. This problem arises when using 4K high dynamic range (…
4kinverse tone mappingInverse-Tone-MappingSuper-Resolution+1Neuronal and structural differentiation in the emergence of abstract rules in hierarchically modulated spiking neural networks
The emergence of abstract rules from exemplars is central to the brain's capability of flexible generalization and rapid adaptation. However, the internal organizing mechanisms underlying rule abstraction remain elusive,…
DiversityTransfer LearningStructural characterization of musical harmonies
Understanding the structural characteristics of harmony is essential for an effective use of music as a communication medium. Of the three expressive axes of music (melody, rhythm, harmony), harmony is the foundation on …
RhythmStructural Invariance Matters: Rethinking Graph Rewiring through Graph Metrics
Graph rewiring has emerged as a key technique to alleviate over-squashing in Graph Neural Networks (GNNs) and Graph Transformers by modifying the graph topology to improve information flow. While effective, rewiring inhe…
Node Classification