Chimera states in a class of hidden oscillatory networks

We have identified the chimera states in a class of non-locally coupled network of hidden oscillators without equilibrium, with one and two stable equilibria. All these cases exhibit hidden chaotic oscillations when isolated. We show that the choice of initial conditions is crucial to observe chimeras in these hidden oscillatory networks. The observed states are quantified and delineated with an aid of the incoherence measure. In addition, we computed the basin stability of the obtained chimeras and found that the models without equilibrium and with one equilibrium are diverging to infinity past certain interaction strength. Interestingly, for a no equilibrium model the separation of two incongruous units follows a power law as a function of coupling strength. Remarkably, we detected that the model with one stable equilibrium manifests multi-clustered chimera states owing to its multi-stability.