Dynamics algebra and its application

Algebraic structure and Poisson's theory of mechanico-electrical systems

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] Some important ones Ermakov technique as used by Ray and Reid 1 in a series of papers, Lutzky's approach 2,3 using Noether's theorem, group transformation method of Burgan et al 4 as used by Ray,5 dynamical algebraic method of Korsch 6 as used by Kaushal, Korsch and Mishra, 7,8 algebraic structure and Poisson's theory for constrained mechanical systems as used by Among these methods, the invariants of the mechanical systems are studied by using algebraic structure seems to have an additional advantage of having a straightforward extension to the corresponding quantum mechanical systems, 15 and algebraic structure and Poisson's theory are carried out to relativistic Birkhoffian systems by Fu et al [16][17][18] These methods while applied successfully to the mechanico-electrical systems have not been explored so far. In this letter, we make an effort in this direction and demonstrate the applications of the algebraic structure and Poisson's theory of dynamical systems to mechanico-electrical systems.…”