A perspective of renormalization group approaches (Q5950038)

As an example of the application of various renormalization group approaches to the study of ODEs, the author considers the asymptotic dynamics of the system \[ \frac{dx}{dt} = ax^3 + xy,\quad\frac{dy}{dt} = -y + bx^2, \] where \(a+b < 0,\) using perturbative and constructive renormalizations.