On Stability of Limit Cycles of a Prototype Problem of Piecewise Linear Systems

  • O. Eriksson
  • J. Tègner
  • Y. Zhou
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 393)

Summary

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • O. Eriksson
    • 1
  • J. Tègner
    • 2
  • Y. Zhou
    • 3
  1. 1.Dept. of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden and The Computational Medicine group, Center for Molecular Medicine, Department of Medicine, Karolinska Institutet, Karolinska University Hospital, Solna, SE-171 76 StockholmSweden
  2. 2.The Computational Medicine group, Center for Molecular Medicine, Department of Medicine, Karolinska Institutet, Karolinska University Hospital, Solna, SE-171 76 Stockholm, Sweden and Division of Computational Biology, Department of Physics, Chemistry and Biology, The Institute of Technology, Linköping University, SE-581 83 LinköpingSweden
  3. 3.Department of MathematicsStockholm UniversityStockholmSweden

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