Carlos Rocha

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The ability to collect, store, and manage data is increasing quickly, but our ability to understand it remains constant. In an attempt to gain better understanding of data, fi elds such as information visualization, data mining and graphic design are employed, each solving an isolated part of the specifi c problem, but failing in a broader sense: there are(More)
The holder of a petroleum exploration concession has an investment option until the expiration date fixed by the governmental agency, in some countries these rights can be extended by additional cost. The value of these rights and the optimal investment timing are calculated by solving a stochastic optimal control problem of an American call option with(More)
— We present a human-robot interactive scenario consisting of a memory card game between Honda's humanoid robot ASIMO and a human player. The game features perception exclusively through ASIMO's on-board cameras and both reactive and proactive behaviors specific to different situational contexts in the memory game. ASIMO is able to build a dynamic(More)
We consider global attractors A f of dissipative parabolic equations ut = uxx + f (x, u, ux) on the unit interval 0 ≤ x ≤ 1 with Neumann boundary conditions. A permutation π f is defined by the two orderings of the set of (hyperbolic) equilibrium solutions ut ≡ 0 according to their respective values at the two boundary points x = 0 and x = 1. We prove that(More)
In this survey we look at parabolic partial differential equations from a dy-namical systems point of view. With origins deeply rooted in celestial mechanics , and many modern aspects traceable to the monumental influence of Poincaré, dynamical systems theory is mainly concerned with the global time evolution T (t)u 0 of points u 0 — and of sets of such(More)
We consider global attractors A f of dissipative parabolic equations u t = u xx + f(x; u; u x) on the unit interval 0 x 1 with Neumann boundary conditions. A permutation f is deened by the two orderings of the set of (hyperbolic) equilibrium solutions u t 0 according to their respective values at the two boundary points x = 0 and x = 1: We prove that two(More)
wish to express their acknowledgements to Ajax Moreira from IPEA for the help on parameters estimate; to James E. Smith from Duke University for the early helpful suggestions; to Antonio F. G. Dias, independent software consultant, for the software interface help, and to one anonymous referee. Any errors are ours. TEXTO PARA DISCUSSÃO tem o objetivo de(More)