TY - JOUR
T1 - Phase chimera states on non-local hyperrings
AU - Muolo, Riccardo
AU - Njougouo, Thierry-Sainclair
AU - Gambuzza, Lucia Valentina
AU - Carletti, Timoteo
AU - Frasca, Mattia
N1 - Publisher Copyright:
© 2024 American Physical Society.
PY - 2024/2/12
Y1 - 2024/2/12
N2 - Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to studying chimera states in systems of identical oscillators, nonlocally coupled through pairwise interactions. Nevertheless, there is increasing evidence, also supported by available data, that complex systems are composed of multiple units experiencing many-body interactions that can be modeled by using higher-order structures beyond the paradigm of classic pairwise networks. In this work we investigate whether phase chimera states appear in this framework, by focusing on a topology solely involving many-body, nonlocal, and nonregular interactions, hereby named nonlocal d-hyperring, (d+1) being the order of the interactions. We present the theory by using the paradigmatic Stuart-Landau oscillators as node dynamics, and we show that phase chimera states emerge in a variety of structures and with different coupling functions. For comparison, we show that, when higher-order interactions are "flattened"to pairwise ones, the chimera behavior is weaker and more elusive.
AB - Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to studying chimera states in systems of identical oscillators, nonlocally coupled through pairwise interactions. Nevertheless, there is increasing evidence, also supported by available data, that complex systems are composed of multiple units experiencing many-body interactions that can be modeled by using higher-order structures beyond the paradigm of classic pairwise networks. In this work we investigate whether phase chimera states appear in this framework, by focusing on a topology solely involving many-body, nonlocal, and nonregular interactions, hereby named nonlocal d-hyperring, (d+1) being the order of the interactions. We present the theory by using the paradigmatic Stuart-Landau oscillators as node dynamics, and we show that phase chimera states emerge in a variety of structures and with different coupling functions. For comparison, we show that, when higher-order interactions are "flattened"to pairwise ones, the chimera behavior is weaker and more elusive.
KW - chimera states
KW - Collective behavior in networks
KW - dynamics of networks
KW - pattern formation
KW - synchronisation
KW - synchronisation transition
KW - hypergraphs
KW - Higher-order networks
UR - http://www.scopus.com/inward/record.url?scp=85185245448&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.109.L022201
DO - 10.1103/PhysRevE.109.L022201
M3 - Article
SN - 1539-3755
VL - 109
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 2
M1 - L022201
ER -