Green's function of a linear extension of a dynamic system on a torus, its conditions of uniqueness and the properties following from them

DOI10.1007/BF01087184zbMath0508.34034OpenAlexW2045901313MaRDI QIDQ1837819

A. M. Samoilenko

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01087184

zbMATH Keywords

wandering pointsuniqueness of Green's functionnontrivial invariant torus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

Connection between quadratic forms and the Green's function of a linear extension of dynamical systems on the torus ⋮ Separatrice manifolds and decomposability of a linear extension of a dynamical system on the torus ⋮ Application of quadratic forms in the theory of invariant manifolds ⋮ Self-adjointness of a second-order elliptic operator with infinite number of variables

Cites Work

• A new approach to the perturbation theory of invariant surfaces

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