Slow and fast dynamics in coupled systems: A time series analysis view

We study the dynamics of systems with different time scales, when access only to the slow variables is allowed. We use the concept of Finite Size Lyapunov Exponent (FSLE) and consider both the case when the equations of motion for the slow components are known, and the situation when a scalar time series of one of the slow variables has been measured. A discussion on the effects of parameterizing the fast dynamics is given. We show that, although the computation of the largest Lyapunov exponent can be practically infeasible in complex dynamical systems, the computation of the FSLE allows to extract information on the characteristic time and on the predictability of the large-scale, slow-time dynamics even with moderate statistics and unresolved small scales.Comment: 17 pages RevTeX, 6 PostScript figures, tarred, gzipped, uuencoded. Submitted to Physica

Singular dynamics under a weak potential on a sphere

We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. We perform a McGehee-type blow-up in order to cope with the singularity of the potential when the point mass goes through the singularity. In addition we investigate the rest-points of the flow, the invariant (stable and unstable) manifolds and we give a complete dynamical description of the motion

Al confine fra matematica, biologia e arte: la morfogenesi di Turing

Che Alan Turing sia stato il genio che ideò la “macchina di Turing” cioè l’astrazione matematica che, realizzata in pratica, si concretizza nei moderni calcolatori, è noto a tutti. Molti sono anche al corrente che egli fu determinante, durante la seconda guerra mondiale, nel decifrare il codice militare tedesco “enigma”, dando agli alleati un vantaggio strategico determinante. Tuttavia, non molti sanno che Turing è uno dei fondatori della biologia matematica e che pose le basi teoriche per la comprensione della morfogenesi, cioè di quella disciplina che studia come si formano, durante la crescita, le strutture anatomiche degli esseri viventi

La fine del ghiaccio artico ed il futuro del clima

Il dibattito riguardo ai cambiamenti climatici furoreggia sui mezzi di comunicazione di massa. All’indomani di alluvioni, periodi di siccità, tempeste di neve o ondate di calore c’è chi paventa i cambiamenti climatici. Ma questo genere di disastri è sempre esistito, e nessuno di essi, preso singolarmente, può dare informazioni riguardo al clima. Esiste dunque un evento che, se si verificasse, sarebbe da solo la prova inconfutabile che il nostro pianeta sta per entrare in un nuovo regime climatico? Un simile evento esiste, ed il fatto che verosimilmente si verificherà entro qualche decennio non è una buona notizi

Dynamic load tests on the North-South axis cable-stayed bridge with a non-symmetric central pylon.

Abstract The new cable-stayed bridge built for the North-South axis road of Bari in order to overpass the railway of RFI and Ferrotramviaria s.p.a. has been recently built and opened to the traffic. The bridge is 626 m long and the central cable-stayed bays have a total length of 225 m. They are supported by cables connected to a central upside down Y-shaped pylon. The peculiarity is that this column is about 60° rotated with respect to the axis of the bridge deck. A dynamic load tests was developed previously to open the bridge to conventional traffic. 26 piezoelectric accelerometers have been utilized in different positions of the cables-stayed bays to record the accelerations produced by environmental forces and by the impact produced by a loaded truck passing over a bump. Operational Modal Analysis has been applied by mean of Artemis software to determine the first fundamental frequencies and the mode shapes. The main frequency of this non-symmetric pylon is the main frequency of all the stayed bridge

Casing contribution to proteolytic changes and biogenic amines content in the production of an artisanal naturally fermented dry sausage

The effect of two kinds of casings on the production and characteristics of a dry fermented sausage was investigated. In detail, an Italian product, naturally fermented at low temperatures and normally wrapped in beef casing instead of the most diffused hog one, was selected. Two different productions (one traditionally in beef casing (MCB) and another in hog casing (MCH)) were investigated over time to determine the differences particularly regarding proteolytic changes during fermentation and ripening. First of all, the product in hog casing required a longer ripening time, up to 120 days, instead of 45–50 days, because of the lower drying rate, while the microbial dynamics were not significantly modified. Conversely, the proteolysis showed a different evolution, being more pronounced, together with the biogenic amines content up to 341 mg/Kg instead of 265 mg/Kg for the traditional products. The latter products were instead characterized by higher quantities of total free amino acids, 3-methyl butanoic acid, 3-Methyl-1-butanal, and 2-Methylpropanal, enriching the final taste and aroma. The traditional product MCB also showed lower hardness and chewiness than MCH. The results highlight how the choice of casing has a relevant impact on the development of the final characteristics of fermented sausages

Effect of the distillation time on the chemical composition, antioxidant potential and antimicrobial activity of essential oils from different cannabis sativa L. Cultivars

Within the unavoidable variability of various origins in the characteristics of essential oils, the aim of this study was to evaluate the effect of the distillation time on the chemical composition and biological activity of Cannabis sativa essential oils (EOs). The dry inflorescences came from Carmagnola, Kompolti, Futura 75, Gran Sasso Kush and Carmagnola Lemon varieties from Abruzzo region (Central Italy), the last two being new cultivar here described for the first time. EOs were collected at 2 h and 4 h of distillation; GC/MS technique was applied to characterize their volatile fraction. The EOs were evaluated for total polyphenol content (TPC), antioxidant capacity (AOC) and antimicrobial activity against food-borne pathogens and spoilage bacteria. The time of distillation particularly influenced EOs chemical composition, extracting more or less terpenic components, but generally enriching with minor sesquiterpenes and cannabidiol. A logical response in ratio of time was observed for antioxidant potential, being the essential oils at 4 h of distillation more active than those distilled for 2 h, and particularly Futura 75. Conversely, except for Futura 75, the effect of time on the antimicrobial activity was variable and requires further investigations; nevertheless, the inhibitory activity of all EOs against Pseudomonas fluorescens P34 was an interesting result

Adherence and Constancy in LIME-RS Explanations for Recommendation

Explainable Recommendation has attracted a lot of attention due to a renewed interest in explainable artificial intelligence. In particular, post-hoc approaches have proved to be the most easily applicable ones to increasingly complex recommendation models, which are then treated as black boxes. The most recent literature has shown that for post-hoc explanations based on local surrogate models, there are problems related to the robustness of the approach itself. This consideration becomes even more relevant in human-related tasks like recommendation. The explanation also has the arduous task of enhancing increasingly relevant aspects of user experience such as transparency or trustworthiness. This paper aims to show how the characteristics of a classical post-hoc model based on surrogates is strongly model-dependent and does not prove to be accountable for the explanations generatedThe authors acknowledge partial support of PID2019-108965GB-I00, PONARS01_00876BIO-D,CasadelleTecnologie mergenti della Cittàdi Matera, PONARS01_00821FLET4.0, PIAServiziLocali2.0,H2020Passapartout-Grantn. 101016956, PIAERP4.0,andIPZS-PRJ4_IA_NORMATIV

Blockage of longitudinal flow in Meniere's disease: A human temporal bone study

Conclusion: Blockage of the endolymphatic duct is a significant finding in Meniere's disease. The position of the utriculo-endolymphatic valve (UEV) and blockage of the ductus reuniens in the temporal bones were not found to be directly indicative of Meniere's disease. Objective: Comparison of blockage of the longitudinal flow of endolymph between ears affected by Meniere's disease and normal ears. Methods: We examined 21 temporal bones from 13 subjects who had Meniere's disease and 21 normal temporal bones from 12 controls. Results: The endolymphatic duct was blocked in five (23%) ears affected by Meniere's disease (p = 0.016). The utricular duct was blocked in 16 (76%) ears affected by Meniere's disease and 11 (52%) normal ears (p = 0.112). The saccular duct was blocked in 6 (28%) of ears affected by Meniere's disease and 16 (76%) normal ears (p = 0.001). The ductus reuniens was blocked in 10 (47%) ears affected by Meniere's disease and 10 (47%) normal ears (p = 1.000)