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 …

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in
which synchronous and asynchronous oscillation coexist. This state of broken symmetry …

We investigate the transition to phase and frequency synchronization in a one-dimensional
chain of phase oscillator “cells” where the coupling is mediated by the local concentration of …

The circadian rhythm in mammals is determined by the output of biological clock cells, eg in
the brain suprachiasmatic nucleus. Each biological clock cell has its own period and can …

We investigate a Kuramoto model incorporated with the first-order and the second-order
interaction terms. We show that the model displays the coexistence of multiattractors and …

We consider a ring of phase oscillators interacting with distance-dependent time delays in
general forms. It is found that the distance-dependent interaction delay is an essential …

In this work, we study the Kuramoto model with biharmonic interaction and bimodal
frequency distribution. Rich synchronous dynamics, such as standing wave states, stationary …

Many networks of physical and biological interest are characterized by a long-range
coupling mediated by a chemical which diffuses through a medium in which oscillators are …

We consider a model where a population of diffusively coupled limit-cycle oscillators,
described by the complex Ginzburg–Landau equation, interacts nonlocally via an inertial …

Many systems of biological interest can be modeled as pointlike oscillators whose coupling
is mediated by the diffusion of some substance. This coupling occurs because the dynamics …