Computational Capabilities of Adler Oscillators Under Weak Local Kuramoto-Like Coupling

The computational capabilities of coupled nonlinear oscillators in implementing computational systems are discussed. A Kuramoto-type, locally coupled Adler oscillator is analyzed in terms of its emergent behaviours. Despite the local nature of the interactions, the model exhibits a wide range of long-time dynamics, spanning from stationary global phase synchronization (coherence) to more sophisticated long-range long-lived structures. Regions of non-trivial complex behaviour are identified through entropic analysis of space-time diagrams. Computational complexity is discussed regarding entropic measures, and its behaviour in parameter space is studied. Evidence of an enhancement in computational capabilities in the vicinity of highly sensitive regimes points to critical behaviour, which could be further exploited in implementing dedicated computational electronic systems.