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Hamilton’s Principle for Circuits with Dissipative Elements

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Listed:
  • Zdeněk Biolek
  • Dalibor Biolek
  • Viera Biolková

Abstract

The classic form of Hamilton’s variational principle does not hold for circuits with dissipative elements. It is shown in the paper that this may not be true in the case of systems consisting of the so-called higher-order elements. Hamilton’s principle is then extended to circuits containing the classical resistors and Frequency Dependent Negative Resistors (FDNRs). The extension is also made to any pair of elements which are the nearest neighbours on any - diagonal of Chua’s table.

Suggested Citation

  • Zdeněk Biolek & Dalibor Biolek & Viera Biolková, 2019. "Hamilton’s Principle for Circuits with Dissipative Elements," Complexity, Hindawi, vol. 2019, pages 1-7, December.
    • Handle: RePEc:hin:complx:2035324
    DOI: 10.1155/2019/2035324
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    References listed on IDEAS

    as
    1. Dalibor Biolek & Zdeněk Biolek & Viera Biolková, 2018. "Duality of Complex Systems Built from Higher-Order Elements," Complexity, Hindawi, vol. 2018, pages 1-15, November.
    2. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
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