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Published on: June 24, 2015
Catalytic feed-forward explosive synchronization in multilayer networks
Vasundhara Rathore1, Ajay Deep Kachhvah2, Sarika Jalan1
1Department of Biosciences and Biomedical Engineering, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India.
Inhibitory couplings in one layer of multiplex networks can trigger explosive synchronization across other layers. This phenomenon is controllable by inter-layer coupling strengths and multiplexing, highlighting multiplexing
Area of Science:
- Complex Systems Science
- Network Science
- Dynamical Systems Theory
Background:
- Inhibitory couplings are fundamental to complex systems.
- Previous work showed inhibition in one layer can cause explosive synchronization in another in duplex networks.
Purpose of the Study:
- To investigate the effect of inhibition in a single layer of multiplex networks on synchronization transitions.
- To explore how inhibition acts as a catalyst for explosive synchronization in other layers.
Main Methods:
- Utilizing a multiplex network model of coupled Kuramoto oscillators.
- Analyzing the influence of intra-layer coupling and multiplexing strengths on synchronization dynamics.
Main Results:
- Inhibition in one layer can indeed catalyze explosive synchronization transitions in other layers of a multiplex network.
- The characteristics of these transitions are controllable via intra-layer coupling and multiplexing strengths.
Conclusions:
- Inhibitory couplings play a critical role in controlling synchronization phenomena in multilayer systems.
- Multiplexing is a key factor in understanding and manipulating synchronization behavior in complex networks with inhibitory elements.
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