Existence of an invariant foliation near a locally integral surface of neutral type

DOI10.1134/S199508022202010XzbMath1496.34082OpenAlexW4225985736MaRDI QIDQ2121926

Yanyan Li

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022202010x

zbMATH Keywords

stabilityinvariant foliationlogarithmic normsessentially nonlinear differential equationslocally integral manifolds

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• On the existence of a local-integral manifold of neutral type for an essentially nonlinear system of differential equations
• On the existence of an invariant torus for an essentially nonlinear system of differential equations
• On the \(C^{1}\)-equivalence of essentially nonlinear systems of differential equations near an asymptotically stable equilibrium point
• Ordinary Differential Equations
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