Dynamics of Complex Systems on Networks and Hypergraphs

In the realm of computational and theoretical modeling, networks and their more complex counterpart, hypergraphs, have become pivotal in representing interactions within a variety of complex systems. Interest in the dynamics of systems represented by hypergraphs has surged due to their ability to model group interactions that are typically overlooked in simpler network models. These systems range from biological to technological, including coupled oscillators, ecological interactions, and neural networks. Recent studies demonstrate the critical influence of these structures on dynamical phenomena like synchronization, disease spread, percolation, and more. Nonetheless, a comprehensive understanding of these effects remains an area ripe for exploration.

The primary aim of this Research Topic is to advance our knowledge of how various structures and topologies in networks and hypergraphs affect complex system dynamics. We are particularly interested in uncovering novel dynamics that arise from different configurations, including static, time-varying, and multiplex networks. This exploration expects to generate insights into hierarchical synchronization dynamics in coupled oscillators, chaotic behaviors influenced by heterogeneous couplings, and the unique phenomena of bistability and abrupt transitions in hypergraphs.

To thoroughly investigate these dynamics, this call for papers focuses on a variety of pertinent themes, inviting comprehensive research contributions:

- Synchronization in hypergraphs across varying structures
- Modelling contagion and spread processes in unique hypergraph structures
- Theoretical and simulation-based studies of random walks on hypergraphs
- Dynamics of competition and interaction within and across networked systems
- Mechanisms of consensus and opinion formation in static and dynamic networks
- Analyzing cascading behaviors and resilience in network systems
- Evolution of cooperation on hypergraph
- Multi-agent systems with higher-order interactions

Submissions are encouraged to utilize both analytical and numerical simulation approaches to offer new insights into the dynamical behaviors of networks and hypergraphs. This interdisciplinary approach aims to foster a deeper understanding that spans across fields such as applied mathematics, biology, neuroscience, and epidemiology, enhancing both theoretical and practical applications in complex systems analysis.

Keywords: Networks, Hypergraphs, Dynamical Systems, Analytical and Numerical Methods, Synchronization Processes

Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.