We study a scalar delay differential equation (DDE) with two delayed feedback terms that
depend linearly on the state. The associated constant-delay DDE, obtained by freezing the …

This work is concerned with efficient numerical methods for computing high order Taylor and
Fourier-Taylor approximations of unstable manifolds attached to equilibrium and periodic …

We construct analytic quasi-periodic solutions of a state-dependent delay differential
equation with quasi-periodically forcing. We show that if we consider a family of problems …

In this paper, we use the parameterization method to construct quasi-periodic solutions of
state-dependent delay differential equations. For example {̇ x (t) &= f (θ, x (t), ϵ x (t-τ (x …

In this paper we prove that periodic boundary-value problems (BVPs) for delay differential
equations are locally equivalent to finite-dimensional algebraic systems of equations. We …

In this paper the dynamics of differential equation with two linearly state-dependent delays is
considered, with particular attention focused on non-resonant double Hopf bifurcation …

One-dimensional models are important for developing, demonstrating and testing new
methods and approaches, which can be extended to more complex systems. We design for …

Stability of a linear stochastic differential equation with distributed and state-dependent
delays is investigated. Sufficient conditions of asymptotic mean square stability are obtained …

Conceptual climate models are very useful for investigations into the roles of underlying
processes of a climate system. We consider the conceptual model introduced by Tziperman …

We study the onset of sustained oscillations in a classical state-dependent delay (SDD)
differential equation inspired by control theory. Owing to the large delays considered, the …