Dynamics on Complex Networks: Theory, Modelling, and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 316
Special Issue Editor
Special Issue Information
Dear Colleagues,
The study of dynamical processes on complex networks has become a cornerstone of contemporary mathematics, physics, biology, engineering, and the social sciences. Modern data streams now reveal not only the intricate wiring of real‑world systems but also the rich, often nonlinear, temporal patterns that unfold on—and reshape—these structures. This Special Issue invites contributions on the forefront of network science, focusing on the complex interplay between structure and dynamics in non-traditional networks. As the field moves beyond static, single-layer representations, understanding the behavior of systems on more realistic and intricate architecture has become paramount.
We solicit original research and review articles that explore dynamics on temporal networks, multilayer networks, and higher-order networks (e.g., hypergraphs, simplicial complexes). A key focus is lies in controlling and optimizing of processes unfolding on these structures, from curbing epidemics to managing information diffusion.
We particularly welcome submissions addressing fundamental dynamical phenomena, including synchronization, where temporal and higher-order interactions can lead to novel collective states, and cascading failures and resilience, where multilayer dependencies critically alter system stability. The goal is to collate cutting-edge research that advances our theoretical understanding and provides new methodologies for analyzing, predicting, and controlling complex systems. We encourage interdisciplinary contributions that bridge theory and real-world applications, from neuroscience and epidemiology to critical infrastructure and social systems.
I look forward to receiving your contributions.
Dr. Zhulou Cao
Guest Editor
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Keywords
- higher order networks
- hypergraph
- multilayer networks
- dynamical processes
- game theory
- percolation
- network dismantling
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