Local and global limit cycles in biochemical systems |
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Authors: | C Hyver |
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Institution: | Départment de Biologie, Centre d''Etudes Nucléaires de Saclay, Bât. 28, 91191 Gif-sur-Yvette, France |
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Abstract: | An autonomous periodic behaviour may correspond to a local or global limit cycle. If the cycle is local, the mathematical analysis is fairly easy upon linearizing about a singular point, but there are few mathematical methods for the determination of global limiting cycles. A periodic motion has a priori a 50% chance of being global. This paper describes a method of predicting certain types of global limit cycles. The application of this procedure indicates that there are plenty of biochemical systems with stable singular points but nevertheless oscillatory. |
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