Global synchronization on time-varying higher-order structures

Article Type

Research Article

Publication Title

Journal of Physics Complexity

Abstract

Synchronization has received a lot of attention from the scientific community for systems evolving on static networks or higher-order structures, such as hypergraphs and simplicial complexes. In many relevant real-world applications, the latter are not static but do evolve in time, in this work we thus discuss the impact of the time-varying nature of higher-order structures in the emergence of global synchronization. To achieve this goal, we extend the master stability formalism to account, in a general way, for the additional contributions arising from the time evolution of the higher-order structure supporting the dynamical systems. The theory is successfully challenged against two illustrative examples, the Stuart-Landau nonlinear oscillator and the Lorenz chaotic oscillator.

DOI

10.1088/2632-072X/ad3262

Publication Date

3-1-2024

Comments

Open Access; Gold Open Access; Green Open Access

Link to Full Text

Share

COinS