2023/06/07 by Richita Ghosh, Umesh Kumar Verma, Ghosh, Richita +5
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.2306.04614
openalex publication_date 2023/06/07 · openalex created_date 2023/06/10 · openalex updated_date 2026/07/28
We investigate the dynamical evolution of globally connected Stuart-Landau oscillators coupled through conjugate or dis-similar variables on simplicial complexes. We report a first-order explosive phase transition from oscillatory state to death state, with 2-simplex (triadic) interactions, as opposed to the second-order transition with only 1-simplex (dyadic) interactions. Moreover, the system displays four distinct homogeneous steady states in the presence of triadic interactions, in contrast to the two homogeneous steady states observed with dyadic interactions. We calculate the backward transition point analytically, confirming the numerical results and providing the origin of the dynamical states in the transition region. The study will be useful in understanding complex systems, such as ecological and epidemiological, having higher-order interactions and coupling through conjugate variables.