Synchronization of a higher-order network of Rulkov maps
Simin Mirzaei, Mahtab Mehrabbeik, Karthikeyan Rajagopal, Sajad Jafari, Guanrong Chen
Abstract
In neuronal network analysis on, for example, synchronization, it has been observed that the influence of interactions between pairwise nodes is essential. This paper further reveals that there exist higher-order interactions among multi-node simplicial complexes. Using a neuronal network of Rulkov maps, the impact of such higher-order interactions on network synchronization is simulated and analyzed. The results show that multi-node interactions can considerably enhance the Rulkov network synchronization, better than pairwise interactions, for involving more and more neurons in the network.
Topics & Concepts
Synchronization (alternating current)Pairwise comparisonNode (physics)Computer scienceSynchronization networksComplex networkOrder (exchange)Theoretical computer scienceTopology (electrical circuits)MathematicsComputer networkArtificial intelligencePhysicsCombinatoricsFinanceChannel (broadcasting)EconomicsWorld Wide WebQuantum mechanicsNeural dynamics and brain functionNonlinear Dynamics and Pattern FormationGene Regulatory Network Analysis