Interlayer Hebbian Plasticity Induces First-Order Transition in Multiplex Networks

Ajay Deep Kachhvah; Xiangfeng Dai; Stefano Boccaletti; Sarika Jalan

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arXiv · 2010.09424

Interlayer Hebbian Plasticity Induces First-Order Transition in Multiplex Networks

Ajay Deep Kachhvah·Xiangfeng Dai·Stefano Boccaletti·Sarika Jalan

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Abstract

Adaptation plays a pivotal role in the evolution of natural and artificial complex systems, and in the determination of their functionality. Here, we investigate the impact of adaptive inter-layer processes on intra-layer synchronization in multiplex networks. The considered adaptation mechanism is governed by a Hebbian learning rule, i.e., the link weight between a pair of interconnected nodes is enhanced if the two nodes are in phase. Such adaptive coupling induces an irreversible first-order transition route to synchronization accompanied with a hysteresis. We provide rigorous analytic predictions of the critical coupling strengths for the onset of synchronization and de-synchronization, and verify all our theoretical predictions by means of extensive numerical simulations.

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Ajay Deep Kachhvah, Xiangfeng Dai, Stefano Boccaletti, Sarika Jalan. 2020-10-19. Interlayer Hebbian Plasticity Induces First-Order Transition in Multiplex Networks. https://arxiv.org/abs/2010.09424

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