ON THE STRUCTURE OF THE SPACE OF HOMOGENEOUS POLYNOMIAL DIFFERENTIAL EQUATIONS OF A CIRCLE

DOI10.14529/mmph200203zbMath1459.34112OpenAlexW3044314165MaRDI QIDQ5144147

V. Sh. Roitenberg

Publication date: 15 January 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm445

zbMATH Keywords

roughnessconnected componenttrigonometric polynomialbifurcation manifolddifferential equation on circle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ordinary differential equations and systems on manifolds (34C40)

Cites Work

• There are two isotopic Morse-Smale diffeomorphisms which cannot be joined by simple arcs
• Differential Topology
• Rotation Number as a Complete Topological Invariant of a Simple Isotopic Class of Rough Transformations of a Circle
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