291 research outputs found
El per què d'unes exposicions. Recuperació de la memória històrica del llibre escolar a la Catalunya del primer terç del segle XX i alguns del segle XIX
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Piecewise smooth dynamical systems make use of discontinuities to model
switching between regions of smooth evolution. This introduces an ambiguity in
prescribing dynamics at the discontinuity: should it be given by a limiting
value on one side or other of the discontinuity, or a member of some set
containing those values? One way to remove the ambiguity is to regularize the
discontinuity, the most common being either to smooth out the discontinuity, or
to introduce a hysteresis between switching in one direction or the other
across the discontinuity. Here we show that the two can in general lead to
qualitatively different dynamical outcomes. We then define a higher dimensional
model with both smoothing and hysteresis, and study the competing limits in
which hysteretic or smoothing effect dominate the behaviour, only the former of
which correspond to Filippov's standard `sliding modes'
Effects of interelectrode capacitance in water conductivity measurements with capacitive electrodes
Postprint (author's final draft
La II República, origen de las autonomÃas
La II República transformó significativamente la polÃtica centralista tradicional en España desde el siglo XVIII y apostó por la descentralización. Carles Bonet expone cómo se fraguaron los Estatutos aprobados y sostiene que, pese a los problemas y vicisitudes de Cataluña y Euskadi, en su opinión, el sistema alumbrado por los republicanos era más liberal y práctico que el actual
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the discontinuity: should the dynamics be given by a limiting value on one side or other of the discontinuity, or a member of some set containing those values? One way to remove the ambiguity is to regularize the discontinuity, the most common being either to smooth it out, or to introduce a hysteresis between switching in one direction or the other across it. Here we show that the two can in general lead to qualitatively different dynamical outcomes. We then define a higher dimensional model with both smoothing and hysteresis, and study the competing limits in which hysteretic or smoothing effects dominate the behaviour, only the former of which correspond to Filippov’s standard ‘sliding modes’.Peer ReviewedPostprint (author's final draft
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