Convergent Normal Forms of Symmetric Dynamical Systems
classification
solv-int
nlin.SI
keywords
dynamicalnormalsystemsconvergenceconvergentcoordinatee-dulacensure
read the original abstract
It is shown that the presence of Lie-point-symmetries of (non-Hamiltonian) dynamical systems can ensure the convergence of the coordinate transformations which take the dynamical sytem (or vector field) into Poincar\'e-Dulac normal form.
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