A cubic autocatalator chemical reaction model with limit cycle analysis and consistency preserving discretization

DOI10.46793/match.87-2.441DzbMath1505.92309MaRDI QIDQ5051965

Muhammad Sajjad Shabir, Qamar Din, Muhammad Asif Khan

Publication date: 18 November 2022

Published in: MATCH Communications in Mathematical and in Computer Chemistry (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23)

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Cites Work

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• Non-linear characteristics of a membrane fermentor for ethanol production and their implications
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
• A novel chaos control strategy for discrete-time Brusselator models
• Bifurcation analysis and chaos control in discrete-time glycolysis models
• Complexity and chaos control in a discrete-time prey-predator model
• A discrete-time model for consumer-resource interaction with stability, bifurcation and chaos control
• Discretization, bifurcation analysis and chaos control for Schnakenberg model
• Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator
• BIFURCATION AND STABILITY ANALYSES FOR A COUPLED BRUSSELATOR MODEL
• Two-Cell coupled cubic autocatalator: the effect of the uncatalysed reaction
• Limit-cycle behaviour in a model chemical reaction: the Sal’nikov thermokinetic oscillator
• Turing Pattern Formation in the Brusselator Model with Superdiffusion
• On the Creation, Growth and Extinction of Oscillatory Solutions for a Simple Pooled Chemical Reaction Scheme
• Analysis of chemical kinetic systems over the entire parameter space - I. The Sal’nikov thermokinetic oscillator
• Oscillations of an exothermic reaction in a closed system - I. Approximate (exponential) representation of Arrhenius temperature-dependence
• Oscillations of simple exothermic reactions in a closed system. II. Exact Arrhenius kinetics
• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Numerical treatment for nonlinear Brusselator chemical model
• A class of discrete predator–prey interaction with bifurcation analysis and chaos control
• New models of fractional blood ethanol and two‐cell cubic autocatalator reaction equations

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