Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

Simplicial complexes describe the simple fact that in social networks a link can connect
more than two individuals. As we show here, this has far-reaching consequences for …

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

Complex network theory has offered a powerful platform for the study of several natural
dynamic scenarios, based on the synergy between the interaction topology and the …

A death of oscillation is reported in a network of coupled synchronized oscillators in the
presence of additional repulsive coupling. The repulsive link evolves as an averaging effect …

We study the dynamics of nonlinear oscillators under mean-field diffusive coupling. We
observe that this form of coupling leads to amplitude death via a synchronization transition in …

We report the occurrence of an explosive death transition for the first time in an ensemble of
identical limit cycle and chaotic oscillators coupled via mean–field diffusion. In both systems …

We consider a variant of two coupled Van der Pol oscillators with both attractive and
repulsive mean-field interactions. In the presence of attractive coupling, the system is in the …

We study the conditions of amplitude death in a network of delay-coupled limit cycle
oscillators by including time-varying delay in the coupling and self-feedback. By …

We report the existence of diverse routes of transition from amplitude death to oscillation
death in three different diffusively coupled systems, which are perturbed by a symmetry …