activity
20122026
most citedHysteretic transitions in the Kuramoto model with inertia

149 citations · 453 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2026

Recent Analytical and Computational Developments on the Advection-Diffusion-Reaction Wildfire Model

Luca Nieding, A. George Morgan, Adrian Navas +6

Wildfires represent a problem for ecosystems, human activities, and economies, driven by the climate crisis and land-use changes. Predicting wildfire propagation through mathematic…

nlin.AO2015★ 23 cited

Synchronization centrality and explosive synchronization in complex networks

A. Navas, J. A. Villacorta-Atienza, I. Leyva +3

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network'…

nlin.AO2014★ 40 cited

Assortative mixing enhances the irreversible nature of explosive synchronization in growing scale-free networks

I. Sendiña-Nadal, I. Leyva, A. Navas +4

We discuss the behavior of large ensembles of phase oscillators networking via scale-free topologies in the presence of a positive correlation between the oscillators' natural freq…

cond-mat.dis-nn2014★ 149 cited

Hysteretic transitions in the Kuramoto model with inertia

Simona Olmi, Adrian Navas, Stefano Boccaletti +1

We report finite size numerical investigations and mean field analysis of a Kuramoto model with inertia for fully coupled and diluted systems. In particular, we examine for a Gauss…

nlin.AO2013★ 120 cited

Explosive synchronization in weighted complex networks

I. Leyva, I. Sendiña-Nadal, J. A. Almendral +3

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a…

q-bio.NC2013★ 1 cited

Functional Hubs in Mild Cognitive Impairment

Adrián Navas, David Papo, Stefano Boccaletti +6

We investigate how hubs of functional brain networks are modified as a result of mild cognitive impairment (MCI), a condition causing a slight but noticeable decline in cognitive a…

cond-mat.dis-nn2012★ 120 cited

Explosive transitions to synchronization in networked phase oscillators

I. Leyva, I. Sendiña-Nadal, J. Almendral +5

We introduce a condition for an ensemble of networked phase oscillators to feature an abrupt, first-order phase transition from an unsynchronized to a synchronized state. This cond…