Emergent explosive synchronization in adaptive complex networks

Abstract

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for adaptation, there is evidence of negative effects induced by excessive synchronization. This indicates that coherence alone can not be enough to explain all the structural features observed in many real-world networks. In this work, we propose an adaptive network model where the dynamical evolution of the node states towards synchronization is coupled with an evolution of the link weights based on an anti-Hebbian adaptive rule, which accounts for the presence of inhibitory effects in the system. We found that the emergent networks spontaneously develop the structural conditions to sustain explosive synchronization. Our results can enlighten the shaping mechanisms at the heart of the structural and dynamical organization of some relevant biological systems, namely brain networks, for which the emergence of explosive synchronization has been observed.

References in corpus (7)

• Explosive Synchronization Transitions in Scale-free Networks
• Explosive synchronization in adaptive and multilayer networks
• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Remote synchronization reveals network symmetries and functional modules
• Explosive first-order transition to synchrony in networked chaotic oscillators
• Macroscopic and Microscopic Spectral Properties of Multilayer Brain Networks during Local and Global Synchronization
• Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators

Cited by in corpus (15)

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• The synchronized dynamics of time-varying networks
• Multi-clusters in networks of adaptively coupled phase oscillators networks
• Birth and stabilization of phase clusters by multiplexing of adaptive networks
• Hierarchical frequency clusters in adaptive networks of phase oscillators
• Perspectives on adaptive dynamical systems
• Inhibition induced explosive synchronization in multiplex networks
• Solitary states in adaptive nonlocal oscillator networks
• Heterogeneous nucleation in finite size adaptive dynamical networks
• Dirac synchronization is rhythmic and explosive
• Explosive synchronization and chimera in interpinned multilayer networks
• Exotic states induced by co-evolving connection weights and phases in complex networks
• Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs
• Structural transitions induced by adaptive rewiring in networks with fixed states
• Explosive synchronization in networks of Type-I neurons with electrical synapses