Niniejszy przegląd jest oparty na wykładach autora wygłoszonych na NATO-ASI-SMS w 2004 roku na University of Montreal w Kanadzie.Niech H będzie przestrzenią Hilberta. Rozważmy pole wektorowe f zdefiniowane na H postaci f(x)=L(x)+K(x), gdzie L jest silnie nieokreślonym, ograniczonym operatorem liniowym, a K jego pełnociągłym zaburzeniem. W tej pracy prezentujemy rozszerzenie klasycznego indeksu Conley'a na potoki generowane przez...

In this paper we introduce a new homotopy invariant – the cohomological span of LS-Conley index. We prove the theorems on the existence of critical points for a class of strongly indefinite functionals with the gradient of the form Lx+K(x), where L is bounded linear and K is completely continuous. We give examples of Hamiltonian systems for which our methods give better results than the Morse inequalities. We also give a formula...

The paper presents experiences gained during work with numerical model of Geo Metro vehicle used for simulations of crash tests with road safety barriers. Attention is drawn to the subject of tire/wheel breakage during collision events. Some methods for improvement of the model are presented in the paper. Several results for the normative vehicle numerical tests are introduced. Simulations were carried out using LS-DYNA finite...

.

In this paper we showed the method of resistive gas sensors data processing. The UV irradiation and temperature modulation was applied to improve gas sensors’ selectivity and sensitivity. Noise voltage across the sensor’s terminals (proportional to its resistance fluctuations) was recorded to estimate power spectral density. This function was an input data vector for LS-SVM (least squares – support vector machine) algorithm, which...