Abstract
The presence of symmetries is common in many dynamical systems of interest, endowing the system with certain simplifying features. A lot of attention has been given to continuous symmetries, since they give rise to conservation laws allowing one to reduce the number of degrees of freedom. During the past two decades attention has been directed to discrete symmetries as well, often in the context of bifurcation problems (Sattinger, 1979; Vanderbauwhede, 1982; Golubitsky et al., 1988).
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Quispel, G.R.W., Lamb, J.S.W. (1994). Dynamics and K-Symmetries. In: Seimenis, J. (eds) Hamiltonian Mechanics. NATO ASI Series, vol 331. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0964-0_30
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