First-order transition to oscillation death in coupled oscillators with higher-order interactions

R Ghosh, UK Verma, S Jalan, MD Shrimali - Physical Review E, 2023 - APS
We investigate the dynamical evolution of Stuart-Landau oscillators globally coupled
through conjugate or dissimilar variables on simplicial complexes. We report a first-order …

Symmetry-breaking higher-order interactions in coupled phase oscillators

D Biswas, S Gupta - Chaos, Solitons & Fractals, 2024 - Elsevier
This paper investigates the route to synchronization in an extension of the Kuramoto model,
which incorporates higher order interactions and do not preserve rotational symmetry …

Rotating clusters in phase-lagged Kuramoto oscillators with higher-order interactions

B Moyal, P Rajwani, S Dutta, S Jalan - Physical Review E, 2024 - APS
The effect of phase-lag in pairwise interactions has been a topic of great interest for a while.
However, real-world systems often have interactions that are beyond pairwise and can be …

Prolonged hysteresis in the Kuramoto model with inertia and higher-order interactions

NG Sabhahit, AS Khurd, S Jalan - Physical Review E, 2024 - APS
The inclusion of inertia in the Kuramoto model has long been reported to change the nature
of a phase transition, providing a fertile ground to model the dynamical behaviors of …

Phase transitions in an adaptive network with the global order parameter adaptation

M Manoranjani, VR Saiprasad, R Gopal… - Physical Review E, 2023 - APS
We consider an adaptive network of Kuramoto oscillators with purely dyadic coupling, where
the adaption is proportional to the degree of the global order parameter. We find only the …

Effect of adaptation functions and multilayer topology on synchronization

D Biswas, S Gupta - Physical Review E, 2024 - APS
This study investigates the synchronization of globally coupled Kuramoto oscillators in
monolayer and multilayer configurations. The interactions are taken to be pairwise, whose …

Synchronization transitions in phase oscillator populations with partial adaptive coupling

Z Chen, Z Zheng, C Xu - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
The adaptation underlying many realistic processes plays a pivotal role in shaping the
collective dynamics of diverse systems. Here, we untangle the generic conditions for …

Hopf bifurcations of twisted states in phase oscillators rings with nonpairwise higher-order interactions

C Bick, T Böhle, O Omel'chenko - Journal of Physics: Complexity, 2023 - iopscience.iop.org
Synchronization is an essential collective phenomenon in networks of interacting oscillators.
Twisted states are rotating wave solutions in ring networks where the oscillator phases wrap …

Rendezvous control for a double-integrator multi-particle system on Lorentz group SO (1, 1)

X Li, L Ru, Y Wu - Authorea Preprints, 2023 - essopenarchive.org
multi-particle system under a proximity-based communication topology on the Lorentz group
SO (1, 1). With the help of the Riemannian manifold structure on the Lorentz group SO (1, 1) …