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Signals generated in memristive circuits

Artur Sowa (2012)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the...

Spectre d'ordre supérieur et problèmes aux limites quasi-linéaires

Aomar Anane, Omar Chakrone, Jean-Pierre Gossez (2001)

Bollettino dell'Unione Matematica Italiana

Nello studio dei problemi del tipo - Δ ⁢ u = f ⁢ x , u + h ⁢ x , si impongono generalmente delle condizione sul comportamento asintotico di f ⁢ x , u rispetto allo spettro di - Δ . Avendo in vista dei problemi quasilineari del tipo - Δ ⁢ u = f ⁢ x , u , ∇ ⁡ u + h ⁢ x , sembra naturale introdurre una nozione di spettro per - Δ che tenga conto della dipendenza del membro di destra rispetto al gradiende ∇ ⁡ u . L'oggetto di questo lavoro è di definire, studiare e applicare questa nuova nozione di spettro.

Stochastic homogenization of a class of monotone eigenvalue problems

Nils Svanstedt (2010)

Applications of Mathematics

Stochastic homogenization (with multiple fine scales) is studied for a class of nonlinear monotone eigenvalue problems. More specifically, we are interested in the asymptotic behaviour of a sequence of realizations of the form - div a T 1 x ε 1 ω 1 , T 2 x ε 2 ω 2 , ∇ u ε ω = λ ε ω 𝒞 ( u ε ω ) . It is shown, under certain structure assumptions on the random map a ( ω 1 , ω 2 , ξ ) , that the sequence { λ ε ω , k , u ε ω , k } of k th eigenpairs converges to the k th eigenpair { λ k , u k } of the homogenized eigenvalue problem - div ( b ( ∇ u ) ) = λ 𝒞 ¯ ( u ) . For the case of p -Laplacian type maps we characterize b explicitly.

Currently displaying 141 – 160 of 193