... nonlinear natureof our model at hand.Indeed, we are dealing with a dynamical system with piecewise constant nonlinear-lities see e.g., 2–6, and the usual linear and continuity arguments cannot ... c can be an arbitrary small positive number, 1.1 may be regarded as a limiting caseof 1.3. Therefore, it would appear that the qualitative behavior of 1.3 will “degenerateinto” that of ... c/1 a ,c/1 − a , or equivalently, all solutions of 7.2 are “attracted” tothe limit 1-cycle c/1 a ,c/1 a , or equivalently, the limit 1-cycle c/1 a ,c/1 a is a global attractor....