Global synchronization on time-varying higher-order structures

Autor: Md Sayeed Anwar, Dibakar Ghosh, Timoteo Carletti
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Physics: Complexity, Vol 5, Iss 1, p 015020 (2024)
Druh dokumentu: article
ISSN: 2632-072X
DOI: 10.1088/2632-072X/ad3262
Popis: 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.
Databáze: Directory of Open Access Journals