Approximation schemes are developed to verify frequency inequalities guaranteeing absence of closed invariant contours in scalar nonlinear delay equations, demonstrated on Suarez-Schopf and Mackey-Glass models.
The Poincar´ e-Bendixson theorem for monotone cyclic feedback systems with delay
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Frequency conditions for the global stability of nonlinear delay equations with several equilibria
Approximation schemes are developed to verify frequency inequalities guaranteeing absence of closed invariant contours in scalar nonlinear delay equations, demonstrated on Suarez-Schopf and Mackey-Glass models.