Abstract
The application of symmetry methods for differential equations for dynamical systems (as defined in Chap. II) presents some special aspects [146,305], due to the structure of the differential equations under study. In a sense, to be clear in the following, when having to deal with the specially simple class of equations consisting of first order autonomous ODEs, one is faced with a specially difficult problem when trying to determine its symmetries. Indeed one has, in general, an infinite dimensional symmetry algebra. Moreover, as we will see below, the structure of this is related to the constants of motion for the system.
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© 1999 Springer-Verlag Berlin Heidelberg
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(1999). Symmetries of Dynamical Systems. In: Symmetry and Perturbation Theory in Nonlinear Dynamics. Lecture Notes in Physics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48874-X_4
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DOI: https://doi.org/10.1007/3-540-48874-X_4
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