Stability conditions and Lyapunov functions for quasi-polynomial systems

DOI10.1016/S0893-9659(01)00087-8zbMath1021.34041arXiv1910.00372OpenAlexW2019098588MaRDI QIDQ1861734

Benito Hernández-Bermejo

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00372

zbMATH Keywords

stabilityLyapunov functionsLotka-Volterra systemsquasi-polynomial systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (9)

Stability of Lotka-Volterra system ⋮ Realizations of quasi-polynomial systems and application for stability analysis ⋮ Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format80A30 ⋮ Intrinsic timing in classical master equation dynamics from an extended quadratic format of the evolution law ⋮ Global stability and quadratic Hamiltonian structure in Lotka-Volterra and quasi-polynomial systems ⋮ On the time-reparametrization of quasi-polynomial systems ⋮ Decentralised controller structure design and retrofit of process systems based on graph theory ⋮ The pseudo almost periodic solutions of the new class of Lotka-Volterra recurrent neural networks with mixed delays ⋮ Stability analysis of quasi-polynomial dynamical systems with applications to biological network models

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Lotka-Volterra representation of general nonlinear systems
• Algebraic recasting of nonlinear systems of ODEs into universal formats
• Hamiltonian structure and Darboux theorem for families of generalized Lotka–Volterra systems
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