Universal Lyapunov functions for non-linear reaction networks

DOI10.1016/j.cnsns.2019.104910OpenAlexW2963007930WikidataQ127591348 ScholiaQ127591348MaRDI QIDQ2207087

Alexander N. Gorban

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05351

zbMATH Keywords

Lyapunov functiondetailed balancepartial equilibriumreaction networksnon-linear kinetics

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Statistical mechanics, structure of matter (82-XX)

Uses Software

• f-GAN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• The Michaelis-Menten-Stueckelberg theorem
• Fluctuations in extended mass-action-law dynamics
• A tutorial on chemical reaction network dynamics
• Finding complex balanced and detailed balanced realizations of chemical reaction networks
• Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics
• Entropy: the Markov ordering approach
• Relative entropy under mappings by stochastic matrices
• Recent bibliography on extended irreversible thermodynamics and related topics (1992-1995)
• Monotonically equivalent entropies and solution of additivity equation
• Semistability of complex balanced kinetic systems with arbitrary time delays
• Invariant manifolds for physical and chemical kinetics
• Relative information of type \(s\), Csiszár's \(f\)-divergence, and information inequalities
• Global convergence in systems of differential equations arising from chemical reaction networks
• Externally driven macroscopic systems: dynamics versus thermodynamics
• Convergent dynamics, a tribute to Boris Pavlovich Demidovich
• Nonsmooth analysis in control theory: a survey
• Role of thermodynamics in multiscale physics
• Monotone chemical reaction networks
• Thermodynamic Tree: The Space of Admissible Paths
• Information Theory and Statistical Mechanics
• Markov Processes and the H-Theorem
• Algorithm for finding a general formula for the non-negative solutions of a system of linear inequalities
• Quasichemical Models of Multicomponent Nonlinear Diffusion

This page was built for publication: Universal Lyapunov functions for non-linear reaction networks