Examinando por Autor "Alfaro-Bittner, K"

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Running and Tumbling Localized Structures: A non-Brownian Motion
(American Physical Society, 2024-11-12) Humire, F.R; Alfaro-Bittner, K; Clerc, M.G; Rojas, R.G
Macroscopic systems present particle-type solutions. Spontaneous symmetry-breaking can cause these solutions to travel in different directions, and the inclusion of random fluctuations can induce them to run and tumble. We investigate the running and tumbling of localized structures observed on a prototype model of one-dimensional pattern formation with noise. Statistically, the dynamics of localized structures are examined, particularly the mean square displacement as a function of time. It initially shows a diffusive behavior, replaced by a ballistic one, and finally manifests itself as diffusive again. We derive a minimal model for the position and velocity of localized structures, which reveals the origin of the observed dynamics
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber
(Elsevier, 2024-02) Humire, F.R; Alfaro-Bittner, K; Clerc, M.G; Rojas, R.G
Why are there six degrees of separation in a social network?
(American Physical Society, 2023-05-31) Samoylenko, I; Aleja, D; Primo, E; Alfaro-Bittner, K; Vasilyeva, E; Kovalenko, K; Musatov, D; Raigorodskii, A.M; Criado, R; Romance, M; Papo, D; Perc, M; Barzel, B; Boccaletti, S
A wealth of evidence shows that real-world networks are endowed with the small-world property, i.e., that the maximal distance between any two of their nodes scales logarithmically rather than linearly with their size. In addition, most social networks are organized so that no individual is more than six connections apart from any other, an empirical regularity known as the six degrees of separation. Why social networks have this ultrasmall-world organization, whereby the graph’s diameter is independent of the network size over several orders of magnitude, is still unknown. We show that the “six degrees of separation” is the property featured by the equilibrium state of any network where individuals weigh between their aspiration to improve their centrality and the costs incurred in forming and maintaining connections. We show, moreover, that the emergence of such a regularity is compatible with all other features, such as clustering and scale-freeness, that normally characterize the structure of social networks. Thus, our results show how simple evolutionary rules of the kind traditionally associated with human cooperation and altruism can also account for the emergence of one of the most intriguing attributes of social networks.