| Contents |
| Collective phenomena in nonlocally coupled systems has attracted considerable attention due to the existence of interesting states such as the chimeras. Given the ubiquity of such states, one need to explore the relationship between the form of the nonlocal coupling and the nature of resulting chimera. We investigate the chimeras in a system of phase oscillators with piecewise linear nonlocal coupling. We show that it is possible to design chimera states with any desired number of coherent (or incoherent) regions by suitably constructing the coupling kernel. Chimeras with odd numbers of coherent regions will have all clusters in-phase with one another, while chimeras with even numbers of clusters can have clusters that are out-of-phase with each other. |
|