Boundedness of solutions and Lyapunov functions in quasi-polynomial systems

DOI10.1016/S0375-9601(00)00175-4zbMath0949.34040MaRDI QIDQ1569617

Annibal Figueiredo, Tarcísio M. Rocha Filho, Iram M. Gléria

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (14)

Entropy-inspired Lyapunov Functions and Linear First Integrals for Positive Polynomial Systems ⋮ Realizations of quasi-polynomial systems and application for stability analysis ⋮ Basins of attraction of invariant regular manifolds ⋮ Stability properties of nonlinear dynamical systems and evolutionary stable states ⋮ Recasting the mass-action rate equations of open chemical reaction networks into a universal quadratic format80A30 ⋮ Permanence and boundedness of solutions of quasi-polynomial systems ⋮ Attracting subspaces in a hyper-spherical representation of autonomous dynamical systems ⋮ Global stability and quadratic Hamiltonian structure in Lotka-Volterra and quasi-polynomial systems ⋮ On the time-reparametrization of quasi-polynomial systems ⋮ Stability analysis of quasi-polynomial dynamical systems with applications to biological network models ⋮ A novel approach for the stability problem in non-linear dynamical systems ⋮ On the stability of a class of general nonlinear systems ⋮ Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations ⋮ A numerical method for the stability analysis of quasi-polynomial vector fields

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• Volterra Multipliers I
• Algebraic structures and invariant manifolds of differential systems
• A Class of Matrices Connected with Volterra Prey-Predator Equations

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