A note on a generalization of Diliberto's theorem for certain differential equations of higher dimension

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Authors

ADAMEC Ladislav

Year of publication 2005
Type Article in Periodical
Magazine / Source Applications of Mathematics
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Poincaré mapping; variational equatio; moving orthogonal system
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.
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