On the structure of a neighborhood of an isolated stationary point of a local dynamical system on the plane

DOI10.1134/S0012266111020066zbMath1228.37019MaRDI QIDQ641961

E. Yu. Mychka

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

isolated stationary pointlocal dynamical system

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (2)

Partial mappings, Čech homology and ordinary differential equations ⋮ On the structure of a neighborhood of an isolated equilibrium of a local planar dynamical system admitting the first approximation

Cites Work

• Space \(\mathcal L (X)\) of local dynamical systems and the Filippov space \(A_{\text{ceu}} (X)\)
• The topological structure of solution spaces of ordinary differential equations
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