Explosive Synchronization With Partial Degree-frequency Correlation.

Networks of Kuramoto oscillators with a positive correlation between the oscillators frequencies and the degree of their corresponding vertices exhibit so-called explosive synchronization behavior, which is now under intensive investigation. Here we study and discuss explosive synchronization in a situation that has not yet been considered, namely when only a part, typically a small part, of the vertices is subjected to a degree-frequency correlation. Our results show that in order to have explosive synchronization, it suffices to have degree-frequency correlations only for the hubs, the vertices with the highest degrees. Moreover, we show that a partial degree-frequency correlation does not only promotes but also allows explosive synchronization to happen in networks for which a full degree-frequency correlation would not allow it. We perform a mean-field analysis and our conclusions were corroborated by exhaustive numerical experiments for synthetic networks and also for the undirected and unweighed version of a typical benchmark biological network, namely the neural network of the worm Caenorhabditis elegans. The latter is an explicit example where partial degree-frequency correlation leads to explosive synchronization with hysteresis, in contrast with the fully correlated case, for which no explosive synchronization is observed.

Syllable-timing in Brazilian Portuguese: uma crítica a Roy Major

This paper reintroduces the discussion about stress-timing in Brazilian Portuguese (BP). It begins by surveying some phonetic and phonological issues raised by the syllable- vs stress-timed dichotomy which culminated with the emergence of the p-center notion. Strict considerations of timing of V-V units and stress groups are taken into account to analyze the long term coupling of two basic oscillators (vowel and stress flow). This coupling allows a two-parameter characterization of language rhythms (coupling strength and speech rate) revealing that BP utterances present a high-degree of syllable-timing. A comparison with other languages, including European Portuguese, is also presented. The results analyzed indicate that Major's arguments for considering Portuguese (sic) as stress-timing are misleading.