A partial generalization of Diliberto's theorem for certain DEs of higher dimension.

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Authors	ADAMEC Ladislav
Year of publication	2002
Type	Article in Proceedings
Conference	EQUADIFF 10 Papers
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Poincaré mapping
Description	In the theory of autonomous perturbations of periodic solutions of ordinary differential equations is the method of Poincar\'e mapping widely used. For analysis of properties of this mapping is, in the case of two-dimensional system, sometimes used a result first obtained probably by Diliberto in 1950. This result is here (partially) extended to certain class of autonomous ordinary differential equations of higher dimension.
Related projects:	Functional-differential equations and mathematical-statistical models