Analysis of a coupled physical discrete time system by means of extended Euler-Lagrange difference equation and discrete dissipative canonical equation

• Cem Civelek ^[1]
  1. [1] Ege University

     Ege University

     Turquía

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 38, Nº 6, 2019, págs. 87-104
• Idioma: inglés
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• Resumen

  • The purpose of this study is the application of the following concepts to the time discrete form.

    Variational Calculus, potential and kinetic energies, velocity proportional Rayleigh dissipation function, the Lagrange and Hamilton formalisms, extended Hamiltonians and Poisson brackets are all defined and applied for time-continuous physical processes. Such processes are not always time-continuously observable; they are also sometimes time-discrete.