Symmetry and Optimization in the Synchronization and Collective Behavior of Complex Systems

Synchronization and collective behavior are ubiquitous properties of complex networked systems found in both natural and engineered systems. A fundamental question is how various types of symmetry impact a complex networked system's synchronization and collective behavior. Previous research has revealed symmetry as a key factor in identifying optimization mechanisms, but the particular ways in which symmetry and asymmetry contribute to optimization of synchronization and collective behavior may depend crucially on the type of systems, networks, and form of synchronization. Exploring the intricate relations between structural and dynamical symmetry can also be relevant for developing strategies to enhance or inhibit synchronization. Articles in this Focus Issue highlight progress on both fundamental and applied problems within this research area.

Guest Editors: Jie Sun, Per Sebastian Skardal, Dane Taylor