On stability of limit cycles of a prototype problem of piecewise linear systems

​The purpose of this paper is to develop a machinery to analyze existence and stability of limit cycle of a prototype of piecewise linear systems, possibly with delays in switching rules. The study of this type of problems is motivated by modelling cell cycle regulation. The results are applied to a cell cycle model of fission yeast. It is shown that the cell cycle model has a limit cycle and it is stable and criterion of the stability regions are also given.

DOI: 10.1007/978-3-642-03627-9_3

On stability of limit cycles of a prototype problem of piecewise linear systems .pdf