All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

Higher-order networks are gaining significant scientific attention due to their ability to
encode the many-body interactions present in complex systems. However, higher-order …

We investigate the dynamical evolution of Stuart-Landau oscillators globally coupled
through conjugate or dissimilar variables on simplicial complexes. We report a first-order …

Phase transitions widely occur in natural systems. Incorporation of higher-order interactions
in coupled dynamics is known to cause first-order phase transition to synchronization in an …

Explosive synchronization underlying many realistic dynamic processes has attracted great
attention in the various fields. Here, we generalize the Kuramoto model with heterogeneous …

We investigate the impact of contrarians (via negative coupling) in multilayer networks of
phase oscillators having higher-order interactions. We report that the multilayer framework …

Coupled limit cycle oscillators with pairwise interactions are known to depict phase
transitions from an oscillatory state to amplitude or oscillation death. This Research Letter …

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 …

The conditions for explosive death transitions in complex networks of oscillators having
generalized network topology, coupled via mean-field diffusion, are derived analytically. The …

Networks incorporating higher-order interactions are increasingly recognized for their ability
to introduce novel dynamics into various processes, including synchronization. Previous …