RT info:eu-repo/semantics/article
T1 Critical transitions in piecewise uniformly continuous concave quadratic ordinary differential equations
A1 Longo, Iacopo Paolo
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
K1 Critical transition
K1 Rate-induced tipping
K1 Nonautonomous bifurcation
K1 3106 Ciencia Forestal
AB A critical transition for a system modelled by a concave quadratic scalar ordinary differential equation occurs when a small variation of the coefficients changes dramatically the dynamics, from the existence of an attractor–repeller pair of hyperbolic solutions to the lack of bounded solutions. In this paper, a tool to analyze this phenomenon for asymptotically nonautonomous ODEs with bounded uniformly continuous or bounded piecewise uniformly continuous coefficients is described, and used to determine the occurrence of critical transitions for certain parametric equations. Some numerical experiments contribute to clarify the applicability of this tool.
PB Springer
SN 1040-7294
YR 2022
FD 2022
LK https://uvadoc.uva.es/handle/10324/57797
UL https://uvadoc.uva.es/handle/10324/57797
LA eng
NO Journal of Dynamics and Differential Equations, 2022.
NO Producción Científica
DS UVaDOC
RD 23-dic-2024