On the structure of a neighborhood of an isolated equilibrium of a local planar dynamical system admitting the first approximation

DOI10.1134/S0012266112020036zbMath1417.37111MaRDI QIDQ425227

E. Yu. Mychka

Publication date: 7 June 2012

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

zbMATH Keywords

isolated equilibriumparabolic sectors

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Partial mappings, Čech homology and ordinary differential equations ⋮ On the asymptotic behavior of functions of local dynamical systems admitting the first approximation

Cites Work

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• Space \(\mathcal L (X)\) of local dynamical systems and the Filippov space \(A_{\text{ceu}} (X)\)
• On the structure of a neighborhood of an isolated stationary point of a local dynamical system on the plane
• On the asymptotic integration of quasilinear differential equations

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