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We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular structures corresponding to well-defined communities of nodes emerge in different time scales, ordered in a(More)
The design of appropriate multifractal analysis algorithms, able to correctly characterize the scaling properties of multifractal systems from experimental, discretized data, is a major challenge in the study of such scale invariant systems. In the recent years, a growing interest for the application of the microcanonical formalism has taken place, as it(More)
We study the dynamical behavior of an ensemble of oscilla-tors interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach fully synchronization and to invewstigate the time needed to get such state. We present both theoretical and numerical(More)
A solvable model of the genesis of amino-acid sequences via coupled dynamics of folding and slow genetic variation Abstract. We study the coupled dynamics of primary and secondary structure formation (i.e. slow genetic sequence selection and fast folding) in the context of a solvable microscopic model that includes both short-range steric forces and and(More)
We study the coupled dynamics of primary and secondary structures formation (i.e. slow-genetic sequence selection and fast folding) in the context of a solvable microscopic model that includes both short-range steric forces and long-range polarity-driven forces. Our solution is based on the diagonalization of replicated transfer matrices, and leads in the(More)
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