Universal Lyapunov functions for non-linear reaction networks
Communications in Nonlinear Science and Numerical Simulation(2019)
摘要
•The rich family of universal Lyapunov functions for linear kinetics is known since 1961 (f-divergences).•Such a family of Lyapunov functions for arbitrary nonlinear reaction networks is unknown.•For any nonlinear reaction network, a new family of universal Lyapunov functions is constructed, which goes far beyond the usual thermodynamic potentials.•The construction uses partial equilibria of reactions and convex envelopes of functions.•New Lyapunov functions are parameterised by compact subsets of the projective space.
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关键词
Reaction networks,Non-linear kinetics,Lyapunov function,Partial equilibrium,Detailed balance
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