Comparative analysis of oscillator models
Early Stage Researcher: Pau Clusella
Principle Investigators: Antonio Politi (Aberdeen, UABDN – major institution) and Roberto Livi (Florence, UF – partner institution)
Different model types are used in the literature to investigate the collective behaviour of ensembles of (phase) oscillators. As a result, it is not clear to what extent some phenomena (partial synchronization, collective chaos) can be considered as universal. In particular, the relationship between pulse-coupled oscillators and the Kuramoto-Daido model is not fully understood. A connection has been established in the weak-disorder and weak-coupling and limit, but it is not known whether and how it carries over to large disorder and strong coupling.
The goal of the project is to explore such regimes with a specific focus on the emergence of a collective irregular dynamics. Non trivial network topologies will be also investigated, which have some correspondence to realistic neuronal networks.
A secondment at DIVAL (Florence) is also expected with the goal of identifying the network structure starting from experimental data.
 J. A. Acebron, L. L. Bonilla, C. J. P. Vicente, F. Ritort, and R. Spigler, Rev. Mod. Phys. 77, 137 (2005)
 C. van Vreeswijk, Phys. Rev. E 54, 5522 (1996)
 H. Daido, Prog. Theor. Phys. 88, 1213 (1992)89, 929 (1993)Physica D 91, 24 (1996)
 S. Luccioli and A. Politi, Phys. Rev. Lett. 105, 158104 (2010)