10 citations · 23 across the 9 of their papers we have counts for
10 papers
Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems
Andrés González-Zumba, Pedro Fernández-de-Córdoba, Juan-Carlos Cortés +1
In this paper we discuss Stochastic Differential-Algebraic Equations (SDAEs) and the asymptotic stability assessment for such systems via Lyapunov exponents (LEs). We focus on inde…
Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function
Marc Jornet, Julia Calatayud, Olivier P. Le Ma^itre +1
This paper concerns the analysis of random second order linear differential equations. Usually, solving these equations consists of computing the first statistics of the response p…
Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique
J. -C. Cortés, A. Navarro-Quiles, J. -V. Romero +1
This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random va…
Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications
J. -C. Cortés, A. Navarro-Quiles, J. -V. Romero +1
The study of the dynamics of the size of a population via mathematical modelling is a problem of interest and widely studied. Traditionally, continuous deterministic methods based…
A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis
J. -C. Cortés, A. Navarro-Quiles, J. -V. Romero +1
In this paper a randomized version of the Beverton-Holt type discrete model is proposed. Its solution stochastic process and the random steady state are determined. Its first proba…
Improving the approximation of the first and second order statistics of the response process to the random Legendre differential equation
J. Calatayud, J. -C. Cortés, M. Jornet
In this paper, we deal with uncertainty quantification for the random Legendre differential equation, with input coefficient and initial conditions and . In a previo…