The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

Investigating the dynamics of a network of oscillatory systems is a timely and urgent topic.
Phase synchronization has proven paradigmatic to study emergent collective behavior …

We suggest a definition for a type of chimera state that appears in networks of
indistinguishable phase oscillators. Defining a “weak chimera” as a type of invariant set …

The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

Phase reduction is a powerful technique that makes possible to describe the dynamics of a
weakly perturbed limit-cycle oscillator in terms of its phase. For ensembles of oscillators, a …

Networks of weakly coupled oscillators had a profound impact on our understanding of
complex systems. Studies on model reconstruction from data have shown prevalent …

Coupled oscillator models where N oscillators are identical and symmetrically coupled to all
others with full permutation symmetry SN are found in a variety of applications. Much, but not …

For a system of coupled identical phase oscillators with full permutation symmetry, any
broken symmetries in dynamical behavior must come from spontaneous symmetry breaking …

We present an approach to generate chimera dynamics (localized frequency synchrony) in
oscillator networks with two populations of (at least) two elements using a general method …

We explore the aging transition in a network of globally coupled Stuart-Landau oscillators
under a discrete time-dependent coupling. In this coupling, the connections among the …