Symmetric one-to-one inter-layer connections promote intra-layer synchronization and remnant memory more reliably than asymmetric random connections, yet asymmetric links better suppress amplitude death at low coupling strengths and frequency mismatches.
Amplitude death in an array of limit-cycle oscillators.Journal of Statistical Physics, 60(1):245–262, 1990
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Trade-Off Between Multiplicity and Specificity in the Inter-layer Connectivity of non-identical Multilayer Networks
Symmetric one-to-one inter-layer connections promote intra-layer synchronization and remnant memory more reliably than asymmetric random connections, yet asymmetric links better suppress amplitude death at low coupling strengths and frequency mismatches.