2015Journal of Circuits Systems and ComputersRequires access

Least Action Principle for Mem-Elements

Wiesław Marszałek, Tewodros Amdeberhan

Open publisher page 7 citations

Abstract

We study the principle of least (stationary) action for mem-elements. The least action principle allows us to derive relationships between the electrical variables for each of the six mem-elements. The principle of least action from modern physics is a natural environment to characterize mem-elements, including various one-period loops in the context of periodic circuits. The time-integrals of Lagrangian lead to the action and coaction quantities and a full characterization of mem-elements with periodic control variables.

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What this paper is about

We study the principle of least (stationary) action for mem-elements. The least action principle allows us to derive relationships between the electrical variables for each of the six mem-elements. The principle of least action from modern physics is a natural environment to characterize mem-elements, including various one-period loops in the context of periodic circuits. The time-integrals of Lagrangian lead to the action and coaction quantities and a full characterization of mem-elements with periodic control variables.

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Available abstract

We study the principle of least (stationary) action for mem-elements. The least action principle allows us to derive relationships between the electrical variables for each of the six mem-elements. The principle of least action from modern physics is a natural environment to characterize mem-elements, including various one-period loops in the context of periodic circuits. The time-integrals of Lagrangian lead to the action and coaction quantities and a full characterization of mem-elements with periodic control variables.

Key concepts: Action (physics), Principle of least action, Context (archaeology), Lagrangian, Mathematics, Physics, Classical mechanics, Mathematical analysis

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