A CLASS OF NONASSOCIATIVE ALGEBRAS ARISING FROM QUADRATIC ODEs

DOI10.1081/AGB-200051139zbMath1129.17005MaRDI QIDQ4682028

Matej Mencinger, Borut Zalar

Publication date: 9 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Riccati differential equationsAutonomous differential equationsAlgebra classificationStability of critical points

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20)

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A FAMILY OF COMPLETELY PERIODIC QUADRATIC DISCRETE DYNAMICAL SYSTEM ⋮ On algebraic approach in quadratic systems ⋮ 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

Cites Work

• A theorem on non-associative algebras and its application to differential equations
• Quadratic dynamical systems and algebras
• Nonassociative, real algebras and quadratic differential equations
• On stability of critical points of quadratic differential equations in nonassociative algebras
• On stability of the origin in quadratic systems of ODEs via Markus approach
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