12,798 research outputs found
Carathéodory periodic perturbations of degenerate systems
No full textWe study the structure of the set of harmonic solutions to T periodically perturbed coupled differential equations on differentiable manifolds, where the perturbation is allowed to be of Carathéodory-type regularity. Employing degree-theoretic methods, we prove the existence of a noncompact connected set of nontrivial T-periodic solutions that, in a sense, emanates from the set of zeros of the unperturbed vector field. The latter is assumed to be “degenerate”: Meaning that, contrary to the usual assumptions on the leading vector field, it is not required to be either trivial nor to have a compact set of zeros. In fact, known results in the “nondegenerate” case can be recovered from our ones. We also provide some illustrating examples of Liénard-and φ-Laplacian-type perturbed equation
Multiplicity of forced oscillations for scalar retarded functional differential equations
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Multiplicity of forced oscillations for the spherical pendulum acted on by a retarded periodic force
No full textPeriodic perturbations of constrained motion problems on a class of implicitly defined manifolds
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Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints
No full textPeriodic perturbations of reducible scalar second order functional differential equations
No full textUsing a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing. More precisely, we consider a delay-type functional dependence involving a gamma probability distribution and, using a linear chain trick, we formulate a first order system of ODEs whose -periodic solutions correspond to those of the functional equation
MABS validation through repeated execution and data mining analysis
No full textAgent Based Modelling is the most interesting and advanced approach for simulating a complex system: in a social context, the single parts and the whole are often very hard to describe in detail. Besides, there are agent based formalisms which allow to study the emergency of social behaviour with the creation and study of models, known as artificial societies. Thanks to the ever increasing computational power, it's been possible to use such models to create software, based on intelligent agents, which aggregate behaviour is complex and difficult to predict, and can be used in open and distributed systems. Data mining is born in the last decades in order to help users in finding useful knowledge from the otherwise overwhelming amount of data available nowadays from the web and the data collected every day by companies. Data Mining techniques can therefore be the keystone to reveal non-trivial knowledge expressed by the initial assumption used to build the micro-level of the model and the structure of the society of agents that emerged from the simulation
Artù, Lancillotto e il Graal, vol. II
No full textAll'interno della prima traduzione italiana integrale del ciclo della Vulgata arturiana ho tradotto e annotato duecento pagine dell'edizione Micha del "Lancelot en prose", esattamente i capitoli LXIV-LXXI della sezione intitolata "La Marca di Gallia" e i capitoli LXII-LXXV della sezione successiva intitolata "Galehaut" (note alle pp. 827-32); inoltre si sono segnalate in alcune note testuali poste nelle pagine introduttive del volume i punti in cui ci si è discostati dal testo di Micha (pp. 30-32)
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