Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-09-22
Nonlinear Sciences
Exactly Solvable and Integrable Systems
7 pages, LaTeX2e, 4 PostScript figures
Scientific paper
The connection between symmetries and linearizations of discrete-time dynamical systems is being inverstigated. It is shown, that existence of semigroup structures related to the vector field and having linear representations enables reduction of linearization problem to a system of first order partial differential equations. By means of inverse of the Poincare map one can relate symmetries in such linearizable systems to continuous and discrete ones of the corresponding differential equations.
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