Coexistence of interdependence and competition in adaptive multilayer network

Nikita Frolov, Sarbendu Rakshit, Vladimir Maksimenko, Daniil Kirsanov, Dibakar Ghosh and Alexander Hramov

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: In dynamical networks, the presence of adaptation establishing the relationship between the coherence of local populations and unit’s effective coupling provides the explosive transition — an abrupt transition from incoherence to coherence and vice versa through the hysteresis loop. Explosive transition is even possible under the coexistence of two opposite types of adaptation – interdependence and competition, wherein growing the competitive population dramatically narrows the area of hysteresis. Here, we demonstrate that considering a mixed adaptive model from a multilayer perspective expands the hysteresis region and shifts both forward and backward transition boundaries to the higher values of coupling strength as compared with a monolayer case. We show that this is due to greater robustness of the multilayer network against the intralayer topology and lower sensitivity to the amplification of the pre-bifurcation noise, i.e., spurious fluctuations of local coherence, in the vicinity of a tipping point as opposed to a single-layer network.

Keywords: Explosive synchronization; Competition; Interdependence; Adaptive network; Multilayer network (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s096007792100309x

DOI: 10.1016/j.chaos.2021.110955

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