On point dissipative N-dimensional systems of differential equations with quadratic nonlinearity

Abstract

Known sufficient conditions for quadratic dynamical system x′=Ax+f(x) to be point dissipative given in terms of A and f for dimensions 2 and 3 are extended to allow for more general forms for the nonlinear term f(x). Furthermore, the conditions extend to n dimensions when f is quadratic with zero set an (n−1)-dimensional hyperplane.