Introduction. Several complex behaviors and motor patterns generated by biological systems are the result of well coordinated and strongly interacting populations of neurons [1, 2]. For instance Central Pattern Generators are responsible for the maintenance of vital rhythms (circadian, circulatory, respiratory, etc) [3]. These systems have been successfully studied using interdisciplinary techn...

Recent research on the cellular basis of circadian rhythmicity has stressed the importance of clock genes for the maintenance of normal rhythmicity. There have been tremendous advances in our understanding of the inter-relationships of the various genes known to generate the rhythms. We know relatively little, however, about the way animals maintain their rhythmicity under normal seasonally cha...

For a class of square continuous time nonlinear controllers we design a suitable resetting rule inspired by the resetting rule for Clegg integrators and First Order Reset Elements (FORE). With this rule, we prove that the arising hybrid system with temporal regularization is passive in the conventional continuous time sense with a small shortage of input passivity decreasing with the temporal r...