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A note on a generalization of Diliberto’s Theorem for certain differential equations of higher dimension

Name: A note on a generalization of Diliberto’s Theorem for certain differential equations of higher dimension
Keywords: moving orthogonal system, variational equation, Poincaré mapping

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2005 Czech Republic Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Applications of Mathematics, volume 50, pages 93-101 (issn: 0862-7940, eissn: 1572-9109,

Authors: Ladislav Adamec; Ladislav Adamec;

doi: 10.1007/s10492-005-0006-2

handle: 11104/0116290

A note on a generalization of Diliberto’s Theorem for certain differential equations of higher dimension

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Abstract

In the theory of autonomous perturbations of periodic solutions of ordinary differential equations the method of the Poincare mapping has been widely used. For the analysis of properties of this mapping in the case of two-dimensional systems, a result first obtained probably by Diliberto in 1950 is sometimes used. In the paper, this result is (partially) extended to a certain class of autonomous ordinary differential equations of higher dimension.

Country

Czech Republic

Related Organizations

Academy of Sciences Library
Czech Republic
Masaryk University
Czech Republic
Czech Academy of Sciences
Czech Republic

Keywords

moving orthogonal system, variational equation, Poincaré mapping

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