%0 Journal Article %T Analytical Computation of the Area of Pinched Hysteresis Loops of Ideal Mem-Elements %A Z. Biolek %A D. Biolek %A V. Biolkova %J Radioengineering %D 2013 %I Spolecnost pro radioelektronicke inzenyrstvi %X The memory elements, memristor being the best known of them, driven by a periodical waveform exhibit the well-known pinched hysteresis loops. The hysteresis is caused by a memory effect which results in a nonzero area closed within the loop. This paper presents an analytical formula for the loop area. This formula is then applied to memory elements whose parameter-vs.-state maps are modeled in the polynomial form. The TiO2 memristor, a special subset of the above elements, is analyzed as a demonstration example. %K Memory element %K memristor %K pinched hysteresis loop %U www.radioeng.cz/fulltexts/2013/13_01_0132_0135.pdf