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- Xavier Guardiola, Albert Díaz-Guilera, Conrad J. Pérez, Alex Arenas, Mateu 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)

- Xavier Guardiola, Albert Díaz-Guilera
- Physical review. E, Statistical physics, plasmas…
- 1999

We study spatio-temporal pattern formation in a ring of N oscillators with inhibitory unidirectional pulselike interactions. The attractors of the dynamics are limit cycles where each oscillator fires once and only once. Since some of these limit cycles lead to the same pattern, we introduce the concept of pattern degeneracy to take it into account.… (More)

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)

- 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)

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