Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass.
1989
Abstract
A cyclic network of autocatalytic reactions involving an unbuffered cofactor and a number of components subject to conservation of mass displays a surprising richness of dynamical behaviors. Limit-cycle oscillations are possible over a wide range of parameter values. Additionally, a cascade of period-doubling bifurcations leading to chaos can coexist with a multiplicity of stable steady states. These results draw attention to the role of unbuffering as a feedback in biochemical systems.
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