Abstract
Sufficient conditions for the asymptotic stability of invariant manifolds of nonlinear systems of ordinary differential equations, $\dot x=f(t,x)$, are expressed directly in terms of $f$. A special case of these conditions is the well-known Poincaré criterion for the asymptotic orbital stability of a limit cycle.
Citation
I. N. Shchitov. "Sufficient conditions for the asymptotic stability of invariant manifolds." Differential Integral Equations 8 (4) 921 - 930, 1995. https://doi.org/10.57262/die/1369055620
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