On the stability of a class of general nonlinear systems

DOI10.1016/S0375-9601(01)00703-4zbMath1012.34044OpenAlexW2064931139MaRDI QIDQ5949746

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

Publication date: 27 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00703-4

zbMATH Keywords

algebraic methodquasi-polynomial systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Stability theory for smooth dynamical systems (37C75)

Related Items (7)

Entropy-inspired Lyapunov Functions and Linear First Integrals for Positive Polynomial Systems ⋮ 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 ⋮ On the time-reparametrization of quasi-polynomial systems ⋮ A novel approach for the stability problem in non-linear dynamical systems ⋮ Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations

Cites Work

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• Stability by Liapunov's direct method. With applications
• Boundedness of solutions and Lyapunov functions in quasi-polynomial systems
• Graph-theoretic description of the interplay between non-linearity and connectivity in biological systems
• An approach to nonlinear programming
• Stability properties of a general class of nonlinear dynamical systems

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