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Title: | Impact of noise and spatial constraints in Kuramoto oscillators |
Author: | Paricio Juan, Oriol |
Director/Tutor: | Soriano i Fradera, Jordi |
Keywords: | Model de Kuramoto Sincronització Treballs de fi de grau Kuramoto model Synchronization Bachelor's theses |
Issue Date: | Feb-2023 |
Abstract: | The Kuramoto model is one of the simplest models used to study collective synchronization. We consider the stochastic Kuramoto model with two sources of noise, quenching and asymmetrical inducing, in both a spatial independent (Erd˝os–R´enyi) and a spatial dependent (random geometric graph) networks. We study how them affect to the order parameter and the critical coupling in the steady state. We observed that quenched noise mainly lowers the order parameter after synchronization, while the asymmetrical inducing noise causes an increase of critical coupling for synchronization to be achieved. Finally, we observed that both noise sources overall decreases synchronization capacity when a spatial dependence is introduced in the network |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2022-2023, Tutor: Jordi Soriano Fradera |
URI: | http://hdl.handle.net/2445/194473 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
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PARICIO JUAN ORIOL_7074564.pdf | 1.35 MB | Adobe PDF | View/Open |
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