%0 Journal Article
%T On point-dissipative systems of differential equations with quadratic nonlinearity
%A Anile K. Bose
%A Alan S. Cover
%A James A. Reneke
%J International Journal of Mathematics and Mathematical Sciences
%D 1991
%I Hindawi Publishing Corporation
%R 10.1155/s0161171291000108
%X The system x бщ ? 2=Ax+f(x) of nonlinear vector differential equations, where the nonlinear term f(x) is quadratic with orthogonality property xTf(x)=0 for all x, is point-dissipative if uTAu<0 for all nontrivial zeros u of f(x).
%K point-dissipative
%K quadratic nonlinearity
%K symmetric matrices
%K commutative but generally non-associative algebra.
%U http://dx.doi.org/10.1155/S0161171291000108