THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE

DOI10.1142/S0218127409022786zbMath1170.37321MaRDI QIDQ3398166

Matej Mencinger, Milan Kutnjak

Publication date: 25 September 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

quadratic systemhomogeneous systemdiscrete dynamical systemcommutative algebranilpotentnonassociative algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Low-dimensional dynamical systems (37E99)

Related Items (4)

Chaos in rational systems in the plane containing quadratic terms ⋮ On algebraic approach in quadratic systems ⋮ Near-idempotents, near-nilpotents and stability of critical points for Riccati equations ⋮ On a generalization of some instability results for Riccati equations via nonassociative algebras

Cites Work

• Unnamed Item
• Quadratic dynamical systems and algebras
• Dynamics of maps with nilpotent Jacobians
• Nonassociative, real algebras and quadratic differential equations
• The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set
• On algebras of rank three
• A CLASS OF NONASSOCIATIVE ALGEBRAS ARISING FROM QUADRATIC ODEs
• On stability of the origin in quadratic systems of ODEs via Markus approach

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