Partial Synchronization and Partial Amplitude Death in Mesoscale Network Motifs

Abstract

We study the interplay between network topology and complex space-time patterns and introduce a concept to analytically predict complex patterns in networks of Stuart-Landau oscillators with linear symmetric and instantaneous coupling based solely on the network topology. These patterns consist of partial amplitude death and partial synchronization and are found to exist in large variety for all undirected networks of up to 5 nodes. The underlying concept is proved to be robust with respect to frequency mismatch and can also be extended to larger networks. In addition it directly links the stability of complete in-phase synchronization to only a small subset of topological eigenvalues of a network.

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Cited by in corpus (5)

• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Synchronization Patterns: From Network Motifs to Hierarchical Networks
• Revival of oscillation and symmetry breaking in coupled quantum oscillators
• Diverse coherence-resonance chimeras in coupled type-I excitable systems
• Solitary states in complex networks: impact of topology