Opis: We show that the classical result on the stability of the origin in a quadratic planar system of ODEs can be formulated using either matrix theory or via its associated real and complex Marcus algebra. A generalization to a three-dimensional case is considered and some counterexamples provided. Ključne besede: quadratic differential systems, commutative nonassociative algebra, singular points, stabilityObjavljeno v DKUM: 12.03.2025; Ogledov: 0; Prenosov: 0 Celotno besedilo (288,81 KB)Gradivo ima več datotek! Več...
Ključne besede: homogeneous quadratic algebra, dynamical system, nonassociative algebras, commutative algebraObjavljeno v DKUM: 31.05.2012; Ogledov: 2063; Prenosov: 89 Povezava na celotno besedilo
Ključne besede: homogeneous quadratic algebra, ordinary differential equation, dicrete dynamical system, nonassociative algebras, commutative algebraObjavljeno v DKUM: 31.05.2012; Ogledov: 2075; Prenosov: 105 Povezava na celotno besedilo
Ključne besede: quadratic discrete dynamical system, periodic orbits, commutative nonassociative algebraObjavljeno v DKUM: 31.05.2012; Ogledov: 2185; Prenosov: 76 Povezava na celotno besedilo
