A note on a generalization of Diliberto's theorem for certain differential equations of higher dimension
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Applications of Mathematics |
| MU Faculty or unit | |
| 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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