On point-dissipative systems of differential equations with quadratic nonlinearity
Anile K. Bose,1Alan S. Cover,1and James A. Reneke1
Received25 Apr 1990
Abstract
The system x′=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).