Shooting solitaries due to small-world connectivity in leaky integrate-and-fire networks

We study the synchronization properties in a network of leaky integrate-and-fire oscillators with nonlocal connectivity under probabilistic small-world rewiring. We demonstrate that the random links lead to the emergence of chimera-like states where the coherent regions are interrupted by scattered, short-lived solitaries; these are termed shooting solitaries. Moreover, we provide evidence that random links enhance the appearance of chimera-like states for values of the parameter space that otherwise support synchronization. This last effect is counter-intuitive because by adding random links to the synchronous state, the system locally organizes into coherent and incoherent domains.

Automated summary

Random links lead to the emergence of chimera-like states where coherent regions are interrupted by scattered, short-lived solitaries. Random links enhance the appearance of chimera-like states for values of the parameter space that otherwise support synchronization. This counter-intuitive effect is due to the system locally organizing into coherent and incoherent domains by adding random links to the synchronous state.