Invariant relations for nonautonomous systems of differential equations
DOI:
https://doi.org/10.15407/dopovidi2014.02.013Keywords:
differential equations, nonautonomous systemsAbstract
The method of invariant relations developed by Poincaré, Levi-Civita, and Kharlamov is generalized for differential equations with right-hand sides depending on the time. As an example, the motion equations of a nonautonomous heavy gyrostat are considered, conditions for the existence of uniform rotational motions are obtained, and invariant manifolds are constructed.
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