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Asymptotic behavior of control systems with periodic vector nonlinearities and denumerable sets of equibliria is examined. Both continuous systems, described by ordinary differential equations, and discrete systems, described by difference equations, are considered. Certain generalization of periodic Lyapunov-type functions and sequences is offered. By means of generalized Lyapunov-type functions...
A mathematical model of the pulse-modulated regulation of non-basal testosterone secretion in the male is introduced. The suggested model is of third order, reflecting the three most significant hormones in the regulation loop, but yet is shown to be capable of sustaining periodic solutions with one or two pulses of gonadotropin-releasing hormone (GnRH) in each period. Lack of stable periodic solutions...
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