### Abstract

Original language | English |
---|---|

Article number | 040301 |

Pages (from-to) | 1-5 |

Number of pages | 5 |

Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |

Volume | 95 |

Issue number | 4 |

DOIs | |

Publication status | Published - 27 Apr 2017 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Physics and Astronomy(all)

### Cite this

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*,

*95*(4), 1-5. [040301]. https://doi.org/10.1103/PhysRevE.95.040301

**Optimization of synchronizability in multiplex networks by rewiring one layer.** / Dwivedi, Sanjiv K. ; Baptista, Murilo S.; Jalan, Sarika.

Research output: Contribution to journal › Article

*Physical Review. E, Statistical, Nonlinear and Soft Matter Physics*, vol. 95, no. 4, 040301, pp. 1-5. https://doi.org/10.1103/PhysRevE.95.040301

}

TY - JOUR

T1 - Optimization of synchronizability in multiplex networks by rewiring one layer

AU - Dwivedi, Sanjiv K.

AU - Baptista, Murilo S.

AU - Jalan, Sarika

PY - 2017/4/27

Y1 - 2017/4/27

N2 - The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modelling real-world complex systems. In this work, we investigate the optimization of synchronizability in multiplex networks by evolving only one layer while keeping other layers fixed. Our main finding is to show the conditions under which the efficiency of convergence to the most optimal structure is almost as good as the case where both layers are rewired during an optimization process. In particular, inter-layer coupling strength responsible for the integration between the layers turns out to be crucial factor governing the efficiency of optimization even for the cases when the layer going through the evolution has nodes interacting much weakly than those in the fixed layer. Additionally, we investigate the dependency of synchronizability on the rewiring probability which governs the network structure from a regular lattice to the random networks. The efficiency of the optimization process preceding evolution driven by the optimization process is maximum when the fixed layer has regular architecture, whereas the optimized network is more synchronizable for the fixed layer having the rewiring probability lying between the small-world transition and the random structure.

AB - The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modelling real-world complex systems. In this work, we investigate the optimization of synchronizability in multiplex networks by evolving only one layer while keeping other layers fixed. Our main finding is to show the conditions under which the efficiency of convergence to the most optimal structure is almost as good as the case where both layers are rewired during an optimization process. In particular, inter-layer coupling strength responsible for the integration between the layers turns out to be crucial factor governing the efficiency of optimization even for the cases when the layer going through the evolution has nodes interacting much weakly than those in the fixed layer. Additionally, we investigate the dependency of synchronizability on the rewiring probability which governs the network structure from a regular lattice to the random networks. The efficiency of the optimization process preceding evolution driven by the optimization process is maximum when the fixed layer has regular architecture, whereas the optimized network is more synchronizable for the fixed layer having the rewiring probability lying between the small-world transition and the random structure.

U2 - 10.1103/PhysRevE.95.040301

DO - 10.1103/PhysRevE.95.040301

M3 - Article

VL - 95

SP - 1

EP - 5

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 4

M1 - 040301

ER -