Stability Analysis of Critical Points in Quadratic Systems in R^3 Which Contain a Plane of Critical Points

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概要

• 論文の詳細を見る

• Markus idea [L. Markus, Quadratic Differential Equations and Nonassociative Algebras, Ann. Math. Studies 45 (Princeton Univ. Press, 1960), p. 185] of treating the quadratic systems of ODEs via commutative algebras which was introduced in 1960 is used in this paper to consider the stability of the origin. In [M. Mencinger, submitted to Communications in Algebra] all three-dimensional commutative algebras which contain a two-dimensional nil subalgebra were classified up to the algebraic isomorphism. This classification is used here to study the stability of the origin in the systems in R3 with a plane of critical points.

• 理論物理学刊行会の論文
• 2003-09-30

著者

• Mencinger Matej

  Faculty Of Civil Engineering University Of Maribor

• MENCINGER Matej

  Faculty of Civil Engineering, University of Maribor

関連論文

• Stability Analysis of Critical Points in Quadratic Systems in R^3 Which Contain a Plane of Critical Points
• Stability Analysis of Critical Points in Quadratic Systems in R^3 Which Contain a Plane of Critical Points

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