On the structural stability of the cubic autocatalytic scheme in a closed vessel

DOI10.1080/02681118908806061zbMath0673.93070OpenAlexW2050324546MaRDI QIDQ3827906

M. J. Roberts, B. F. Gray, John H. Merkin

Publication date: 1989

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118908806061

zbMATH Keywords

structurally unstablecubic autocatalator

Mathematics Subject Classification ID

Stability of control systems (93D99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Chemistry (92Exx)

Related Items (5)

Bifurcation analysis of a discrete-time four-dimensional cubic autocatalator chemical reaction model with coupling through uncatalysed reactant ⋮ An analysis of a two-cell coupled nonlinear chemical oscillator ⋮ Existence and uniqueness of periodic orbits in the cubic autocatalator ⋮ Pattern formation in a cubic autocatalator model: the effect of the uncatalyzed reaction ⋮ Two-Cell coupled cubic autocatalator: the effect of the uncatalysed reaction

Cites Work

• Ljapunov approach to multiple Hopf bifurcation
• The application of singularity theory to isothermal autocatalytic open systems: the elementary scheme A +mB = (m+ 1)B
• On the Creation, Growth and Extinction of Oscillatory Solutions for a Simple Pooled Chemical Reaction Scheme
• A method for the complete qualitative analysis of two coupled ordinary differential equations dependent on three parameters

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