Estimation of the boundary of the limit cycle of Brusselator oscillators by the renormalization group method. (English) Zbl 1529.34036
In this paper, the authors are exploring the limit cycle region in the parameter space of the 2D nonlinear Brusselator model
\begin{align*}
\dot{x}& = a-(b+1)x+x^2y, \\
\dot{y}& = bx-x^2y,
\end{align*}
where \(x\), \(y\) are dimensionless variables, and \(a\), \(b\) are positive control parameters.
The work is just an application of renormalisation group method.
The work is just an application of renormalisation group method.
Reviewer: Predrag Punosevac (Pittsburgh)
MSC:
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 34A45 | Theoretical approximation of solutions to ordinary differential equations |
| 92C45 | Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) |
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