Application of quadratic forms in the theory of invariant manifolds

DOI10.1007/BF01059602zbMath0617.34036OpenAlexW2024351702MaRDI QIDQ1821934

V. L. Kulik, Yu. O. Mitropol's'kii

Publication date: 1985

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01059602

zbMATH Keywords

quadratic formsbounded solutionsinvariant torusfirst order differential equations

Mathematics Subject Classification ID

Cites Work

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• Existence of dichotomies and invariant splittings for linear differential systems. I
• Green's function of a linear extension of a dynamic system on a torus, its conditions of uniqueness and the properties following from them
• Instability of the characteristic indices of statistically regular systems
• A new approach to the perturbation theory of invariant surfaces
• Smoothing Derivatives of Functions and Applications
• Separatrice manifolds and decomposability of a linear extension of a dynamical system on the torus

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