On stability of the origin in quadratic systems of ODEs via Markus approach

DOI10.1088/0951-7715/16/1/313zbMath1030.34047OpenAlexW2044115208MaRDI QIDQ4801886

Matej Mencinger

Publication date: 18 February 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/16/1/313

zbMATH Keywords

three-dimensional systemscommutative real algebra

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Finite commutative rings (13M99)

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A FAMILY OF COMPLETELY PERIODIC QUADRATIC DISCRETE DYNAMICAL SYSTEM ⋮ On algebraic approach in quadratic systems ⋮ A CLASS OF NONASSOCIATIVE ALGEBRAS ARISING FROM QUADRATIC ODEs ⋮ Differential Equations in Algebras ⋮ Near-idempotents, near-nilpotents and stability of critical points for Riccati equations ⋮ THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE ⋮ Partial qualitative analysis of planar 𝓐Q-Riccati equations ⋮ On a generalization of some instability results for Riccati equations via nonassociative algebras

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