Liapunov transformations of nonlinear periodic differential eqautions.
D. Pashutkin1
Annotation | It's a well known fact that linear differential equations are reducible to linear autonomous deffintial equation with a constant matrix (Floquet-Liapunov theorem). We consider nonlinear periodic differential equation and construct the example of nonreducible differential equation to autonomous equation in the special Liapunov group of nonlinear transformations containing linear Liapunov transformations |
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Keywords | differential equations,reducibility,Liapunov trasformation. |
Citation: D. Pashutkin, "[Liapunov transformations of nonlinear periodic differential eqautions.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:2 (2010) 102–105 (In Russian)