25 citations · 190 across the 38 of their papers we have counts for
4 papers · 2 filters
Critical Transitions for Asymptotically Concave or D-Concave Nonautonomous Differential Equations with Applications in Ecology
Jesús Dueñas, Carmen Núñez, Rafael Obaya
The occurrence of tracking or tipping situations for a transition equation is analyzed under the assumptions on concavity in either of the maps giving rise t…
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
Marek Kryspin, Janusz Mierczynski, Sylvia Novo +1
This paper deals with the exponential separation of type II, an important concept for random systems of differential equations with delay, introduced in \JM\ et al.~\cite{MiNoOb1}.…
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology
Jesús Dueñas, Iacopo P. Longo, Rafael Obaya
This paper investigates biological models that represent the transition equation from a system in the past to a system in the future. It is shown that finite-time Lyapunov exponent…
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates
Iacopo P. Longo, Carmen Núñez, Rafael Obaya
The global dynamics of a nonautonomous Carathéodory scalar ordinary differential equation , given by a function which is concave in , is determined by the existen…