REFERENCES
- Arrowsmith , D. K. , Place , C. M. ( 1990 ). Dynamical Systems . Cambridge : Cambridge University Press .
- Glendinning , P. ( 1994 ). Stability, Instability and Chaos . Cambridge : Cambridge University Press .
- Guckenheimer , J. , Holmes , P. ( 1983 ). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields . New York : Springer-Verlag .
- Kaplan , J. L. , Yorke , J. A. ( 1977 ). Nonassociative, real algebras and quadratic differential equations . Nonlinear Anal. Theory Methods Appli . 3 : 49 – 51 .
- Kinyon , M. K. , Sagle , A. A. ( 1994 ). Differential systems and algebras . Differential Equations Dynamical Syst. Control Sci . 152 : 115 – 141 .
- Kinyon , M. K. , Sagle , A. A. ( 1995 ). Quadratic dynamical systems and algebras . J. Diff. Equations 117 : 67 – 126 . [CROSSREF]
- Markus , L. ( 1960 ). Quadratic differential equations and nonassociative algebras . Ann. Math. Studies 45 : 185 – 213 .
- Mencinger , M. ( 2002a ). On Stability of Riccati Differential Equation [Xdot] = TX+Q(X) in ℝ n . Proceedings of Edinburgh Mathematical Society 45, pp. 601–615.
- Mencinger , M. ( 2002b ). Stability analysis of critical points in quadratic systems in R 3 which contain a plane of critical points. Proceedings of the 5th International Summer School/Conference ‘Let's Face Chaos through Nonlinear Dynamics’. Maribor. Prog. Theor. Phys. Suppl. (Kyoto) 388–392.
- Mencinger , M. ( 2003 ). On stability of the origin in quadratic systems of ODEs via Markus approach . Nonlinearity , 16 : 1 – 18 . [CROSSREF]
- Mencinger , M. , Zalar , B. ( 2003 ). On stability of critical points of quadratic differential equations in nonassociative algebras . Glas. Mat . 38 : 19 – 27 .
- Myung , H. C. , Sagle , A. A. ( 1992 ). Quadratic differential equations and algebras . Contemporary Math . 131 : 659 – 672 .
- Röhrl , H. ( 1977a ). Algebras and differential equations . Nagoya Math. J. 68 : 59 – 122 .
- Rohrl , H. ( 1977b ). A theorem on nonassociative algebras and its application to differential equations . Manuscripta Math . 21 : 181 – 187 . [CROSSREF]
- Sagle , A. A. , Kinyon , M. K. ( 1994 ). Quadratic Systems, blow-up, and algebras . Nonassociative Algebra and Its Applications. Vol. 203 . Netherlands : Kluwer, Dordrecht , pp. 367 – 371 .
- Walcher , S. ( 1991 ). Algebras and Differential Equations . Palm Harbor , FL : Hadronic Press .
- #Communicated by W. Martindale.