INVESTIGATION «IN GENERAL» OF SOME THREE-DIMENSIONAL SYSTEMS OF DIFFERENTIAL EQUATIONS |
| 3 | |
| 2011 |
| MATHEMATICS |
| scientific article | 517.92 | ||
| 163-167 | invariant torus, Poincar, ? rotation number, knottedness |
| We consider a special class of three-dimensional systems of differential equations in which phase space is decomposed
into invariant two-dimensional tori. The character of trajectories on the invariant surfaces is investigated.
The existence of knotted trajectories is proved. |
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