10 citations · 10 across the 4 of their papers we have counts for
4 papers
Stochastic Mackey-Glass Equations and Other Negative Feedback Systems: Existence of Invariant Measures
Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel
We study equations like the Mackey-Glass equations and Nicholson's blowflies equation, each perturbed by a (small) multiplicative noise term. Solutions to these stochastic negative…
Stochastic Wright's Equation: Existence of Invariant Measures
Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel
Wright's delay differential equation is one of the prime examples of a fully nonlinear equation without an explicit solution and whose dynamics can be understood by analytic means.…
Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay
Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel
We provide sufficient conditions for the existence of invariant probability measures for generic stochastic differential equations with finite time delay. This is achieved by means…
Pseudospectral approximation of Hopf bifurcation for delay differential equations
Babette de Wolff, Francesca Scarabel, Sjoerd Verduyn Lunel +1
Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary differential equations). Next one can use ODE tools to perform a numerical bifurcation anal…