Utilization of Euler-Lagrange Equations in Circuits with Memory Elements
Alternative metrics PlumXhttp://hdl.handle.net/11012/63764
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It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system. However, this procedure, consisting in a systematic differentiation of the above state functions, cannot be used for circuits containing simultaneously conventional nonlinear elements such as the resistor, capacitor, and inductor, and their nonlinear memory versions – the memristor, memcapacitor, and meminductor. The paper provides a general solution to this problem and demonstrates it on the example of modeling Josephson’s junction.
Document typePeer reviewed
SourceRadioengineering. 2016 vol. 25, č. 4, s. 783-789. ISSN 1210-2512
- 2016/4