Chimera-like states in structured heterogeneous networks.

Area of Science:

• Complex Systems Science
• Network Science
• Nonlinear Dynamics

Background:

• Chimera-like states are a phenomenon observed in various systems, defined by the coexistence of synchronous and asynchronous dynamics.
• Understanding the influence of network topology is crucial for explaining the emergence of these complex dynamical states.

Purpose of the Study:

• To investigate the role of network topology in the formation of chimera-like states.
• To analyze how network heterogeneity contributes to the separation of dynamics within a system.

Main Methods:

• A heterogeneous network model with two distinct groups of nodes (high and low connectivity) was employed.
• The model architecture facilitated the analysis of interactions between a coherent, densely connected group and a drifting, sparsely connected group.
• Examination of synchronous behavior in the dense group and scaling properties of perturbations from the sparse group.

Main Results:

• The heterogeneous network architecture successfully separated into a coherent, densely connected group and a sparsely connected group exhibiting drifting behavior.
• Synchronous dynamics were observed in the densely connected group, influenced by perturbations from the sparsely connected neighbors.
• The study characterized the scaling properties of these induced perturbations.

Conclusions:

• Network topology, specifically heterogeneity, plays a significant role in generating chimera-like states.
• The proposed model provides a framework for understanding the interplay between network structure and the emergence of mixed synchronous and asynchronous dynamics.
• The findings offer insights into the mechanisms underlying chimera-like states in complex systems.