Rate-induced tipping and saddle-node bifurcation for a class of quadratic differential equations with nonautonomous asymptotic dynamics

Iacopo P. Longo, Carmen Núñez, Rafael Obaya +1

An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations $x^{\prime }=-x^2+q(t)x+p(t)$, where $q:\mathbb{R}\to \mathbb{R}$ and $p\colon…