activity
20012021
most citedOn the Global Attractor of Delay Differential Equations with Unimodal Feedback

43 citations · 87 across the 8 of their papers we have counts for

collaborators

8 papers

math.CA2021★ 6 cited

The peak-and-end rule and differential equations with maxima: a view on the unpredictability of happiness

Elena Trofimchuk, Eduardo Liz, Sergei Trofimchuk

In the 1990s, after a series of experiments, the behavioral psychologist and economist Daniel Kahneman and his colleagues formulated the following Peak-End evaluation rule: "The re…

math.DS2009

Global behaviour of a second order nonlinear difference equation

Ignacio Bajo, Eduardo Liz

We describe the asymptotic behaviour and the stability properties of the solutions to a second order rational difference equation.

math.DS2008★ 31 cited

Dichotomy results for delay differential equations with negative Schwarzian

Eduardo Liz, Gergely Röst

We gain further insight into the use of the Schwarzian derivative to obtain new results for a family of functional differential equations including the famous Wright's equation and…

math.DS2008★ 43 cited

On the Global Attractor of Delay Differential Equations with Unimodal Feedback

Eduardo Liz, Gergely Röst

We give bounds for the global attractor of the delay differential equation , where is unimodal and has negative Schwarzian derivative. If and s…

math.DS2002★ 2 cited

Yorke and Wright 3/2-stability theorems from a unified point of view

E. Liz, V. Tkachenko, S. Trofimchuk

We consider a family of scalar delay differential equations , with a nonlinearity satisfying a negative feedback condition combined with a boundedness condition…

math.DS2001★ 1 cited

A global stability criterion for scalar functional differential equations

E. Liz, V. Tkachenko, S. Trofimchuk

We consider scalar delay differential equations with nonlinear f satisfying a sort of negative feedback condition combined with a boundedness condit…