@inbook{fd4360555274457ab7b31d110935b53d,
title = "Fractal Elements",
abstract = "It is well known that state equations of electric circuits that contain passive RLC elements with lumped parameters (RLC-ELP) are ordinary differential equations, the order of which is the same as that of the number energy-storing elements. For example, the electric processes of an LC oscillator with losses due to the resistance R (see Fig. 3.1) are described by the following integer-order integral-differential equation: Cdu(t)dt+u(t)R+1L∫u(t)dt=iIN(t).(formula",
keywords = "Bode Diagram, Continue Fraction Expansion, Fractal Element, Input Impedance, Rational Transfer Function",
author = "Gil{\textquoteright}mutdinov, {Anis Kharisovich} and Ushakov, {Pyotr Arkhipovich} and Reyad El-Khazali",
note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing Switzerland.",
year = "2017",
doi = "10.1007/978-3-319-45249-4_3",
language = "British English",
series = "Analog Circuits and Signal Processing",
publisher = "Springer",
pages = "41--92",
booktitle = "Analog Circuits and Signal Processing",
address = "Germany",
}