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- X Guardiola, A Díaz-Guilera, C J Pérez, A Arenas, M Llas
- Physical review. E, Statistical, nonlinear, and…
- 2002

A simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information, agents decide whether to upgrade their level or not, balancing their possible benefit with the upgrading cost. A critical point where technological… (More)

- A Arenas, A Díaz-Guilera, C J Pérez, F Vega-Redondo
- Physical review. E, Statistical physics, plasmas…
- 2000

We propose a general scenario to analyze technological changes in socio-economic environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time, sufficiently complex to display a rich dynamic behavior. Our study shows that there exists a macroscopic observable that… (More)

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (“updates”), followed by a rapid process of local imitation (“diffusion”). Our main focus is on the regularities displayed by the long-run… (More)

We introduce two coupled map lattice models with nonconservative interactions and a continuous nonlinear driving. Depending on both the degree of conservation and the convexity of the driving we find different behaviors, ranging from self-organized criticality, in the sense that the distribution of events (avalanches) obeys a power law, to a macroscopic… (More)

- X. Guardiola, C. J. Pérez
- 2000

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention on the interplay between topological disorder and synchronization features of networks. First, we analyze synchronization time T in random networks, and find a scaling law which relates T to network connectivity. Then, we compare… (More)

- Albert Dı́az-Guilera, Conrad J. Pérez, Alex Arenas
- 1998

We analyze the physical mechanisms leading either to synchronization or to the formation of spatiotemporal patterns in a lattice model of pulse-coupled oscillators. In order to make the system tractable from a mathematical point of view we study a one-dimensional ring with unidirectional coupling. In such a situation, exact results concerning the stability… (More)

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more complicated attractors. In some cases, these states are identified with self-organized critical phenomena. In other situations,… (More)

- Alexandre Arenas, Albert Díaz-Guilera, +4 authors Fernando Vega-Redondo
- Advances in Complex Systems
- 2001

We present new results in a model of technological evolution which displays different macroscopic behaviors based on very simple microscopic rules of local interaction. The main features are criticality and self-organization. We give information about new scaling relation and study the roughness of the spatial technological profile. We verify that the… (More)

- Álvaro Corral, Conrad J. Pérez, Albert Dı́az-Guilera
- 1997

We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits one to observe self-organized criticality (SOC) in the long time regime. As diversity increases the system undergoes several transitions from a… (More)

- M C Gil Anaya, F Calle, +5 authors A L Oropesa
- Andrology
- 2015

In this study a Bayesian network (BN) has been built for the study of the objective motility of Tinca tinca spermatozoa (spz). Semen from eight 2-year-old sexually mature male tenchs was obtained and motility analyses were performed at 6-17, 23-34 and 40-51 s after activation, using computer-assisted sperm analysis (CASA) software. Motility parameters… (More)