Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems.
Gheorghe Crăciun, Jiaxin Jin, Polly Y. Yu
Abstract
systems are remarkably stable for any choice of rate constants: they have a unique positive steady state within each invariant polyhedron, and cannot give rise to oscillations or chaotic dynamics. We also prove that both of our hypotheses (i.e., weak reversibility and deficiency zero) are necessary for uniqueness.
Topics & Concepts
UniquenessMultistabilityMathematicsDynamical systems theoryZero (linguistics)Action (physics)Realization (probability)Dynamical system (definition)Invariant (physics)Statistical physicsMathematical analysisPhysicsNonlinear systemMathematical physicsQuantum mechanicsLinguisticsStatisticsPhilosophyGene Regulatory Network AnalysisAdvanced Thermodynamics and Statistical MechanicsProtein Structure and Dynamics