A stratum approach to global stability of complex balanced systems

  title={A stratum approach to global stability of complex balanced systems},
  author={David Siegel and Matthew D. Johnston},
  journal={Dynamical Systems},
  pages={125 - 146}
It has long been known that complex balanced mass-action systems exhibit a restrictive form of behaviour known as locally stable dynamics. This means that within each compatibility class – the forward invariant space where solutions lies – there is exactly one equilibrium concentration and that this concentration is locally asymptotically stable. It has also been conjectured that this stability extends globally to . That is to say, all solutions originating in approach the unique positive… 

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  • SIAM-AMS Proceedings, Vol. VIII, American Mathematical Society, Providence, RI
  • 1974