Ruling out Positive Lyapunov Exponents by using the Jacobian’s Second Additive Compound Matrix

Second additive compound matrices of the system’s Jacobian are used to formulate sufficient conditions rule out existence attractors with positive Lyapunov exponents. The criteria expressed in terms dissipation inequalities or Linear Matrix Inequalities amenable analytic verification. results extend applicability previous existing formulated discard periodic and almost oscillations. An example technique chaos certain parameters region Lorenz system is discussed.