Coherence-incoherence transition with appearance of chimera states in a onedimensional ensemble

We consider the dynamics of a ring of nonlocally coupled logistic maps when varying the coupling coefficient. We introduce the coupling function, which characterizes the impact of nonlocal neighbors and study its dynamics together with the dynamics of the whole ensemble. Conditions for the transition from complete chaotic synchronization to partial one are analyzed and the corresponding theoretical estimation of the bifurcation parameter $\sigma$ is given. Conditions for the appearance of phase and amplitude chimera states are also studied.