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- José Moreno Montoya, Ricard V. Sol
- Journal of theoretical biology
- 2002

The analysis of some species-rich, well-defined food webs shows that they display the so-called small world behavior shared by a number of disparate complex systems. The three systems analysed (Ythan estuary web, Silwood web and the Little Rock lake web) have different levels of taxonomic resolution, but all of them involve high clustering and short path… (More)

- Ricard V. Sol, Sergi Valverdea
- 2000

In a recent study, Ohira and Sawatari presented a simple model of computer network tra c dynamics. These authors showed that a phase transition point is present separating the low-tra c phase with no congestion from the congestion phase as the packet creation rate increases. We further investigated this model by relaxing the network topology using a random… (More)

- Ricard V. Sol, Alan McKaned
- 2000

A new model ecosystem of many interacting species is introduced in which the species are connected through a random matrix with a given connectivity. The model is studied both analytically and by numerical simulations. A probability distribution derived from the model is in good agreement with simulations and eld data. It is also shown that the… (More)

Jordi Delgado 1,2,3 and Ricard V. Solé 2,3 Departament de Llenguatges i Sistemes Informatics, Universitat Politecnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain Complex Systems Research Group, Departament de Fı́sica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Sor Eulàlia d’Anzizu s/n, Campus Nord, Mòdul B4, 08034 Barcelona, Spain… (More)

Urban centers present all over the world striking similarities which translate into universal laws describing their growth and morphology. In this paper, we study a simple 2-dimensional cellular automata model containing what we identify as essential ingredients in the demographic change. The slow addition of population to an initially empty area (mimicking… (More)

We study the autosynchronization of temporal patterns of activity in .!+rorhorax ants, using to model this phenomenon the formalism of fluid neural networks. It is known that autosynchronization is involved in complex phenomena observed in ant colonies, such as task allocation and mutual exclusion. We have numerical evidence that this happens at the… (More)

A new order parameter approximation to Random Boolean Networks RBN is introduced based on the concept of Boolean derivative A statistical argu ment involving an annealed approximation is used allowing to measure the order parameter in terms of the statistical properties of a random matrix Using the same formalism a Lyapunov exponent is calculated allowing… (More)

We describe a method to discriminate between ordered and turbulent behavior in a general class of collective systems Ž . known as Globally Coupled Maps GCM . Our method is able to discover an unknown small ordered region inside the turbulent phase of GCM parameter space. The computational nature of the method is the main novelty of our approach; it is… (More)

In recent studies, new measures of complexity for nonlinear systems have been proposed based on probabilistic grounds, as the LMC measure (Phys. Lett. A 209 (1995) 321). All these measures share an intuitive consideration: complexity seems to emerge in nature close to instability points, as for example the phase transition points characteristic of critical… (More)

- Sergi Valverdea, Ricard V. Sol
- 2002

In a recent paper, we analysed the dynamics of tra%c /ow in a simple, square lattice architecture. It was shown that a phase transition takes place between a free and a congested phase. The transition point was shown to exhibit optimal information transfer and wide /uctuations in time, with scale-free properties. In this paper, we further extend our… (More)