Shilnikov type solutions under strong non-autonomous perturbation

Periodic Solutions of Non-autonomous Mackey-type Systems with Delays

Non-autonomous systems of delay differential equations, that model classical Mackeytype hematopoietic stem cell dynamics and Mackey-type circuit systems with delayed feedback controllers, are under study. Explicit sufficient and necessary conditions for the existence of positive periodic solutions are obtained via topological methods. AMS Subject Classification: MSC 2010: 34C25; 34B15; 34B18; 3...

A stochastic perturbation theory for non-autonomous systems

We develop a perturbation theory for a class of first order nonlinear non-autonomous stochastic ordinary differential equations that arise in climate physics. The perturbative procedure produces moments in terms of integral delay equations, whose order by order decay is characterized in a Floquet-like sense. Both additive and multiplicative sources of noise are discussed and the question of how...

Non - Cell - Autonomous Modifications Notch 1 Perturbation of Hemopoiesis Involves

MULTIPLE PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS AND CONVEX HAMILTONIAN SYSTEMS

In this paper we study Multiple periodic solutions for a class of non-autonomous and convex Hamiltonian systems and we investigate use some properties of Ekeland index.  

Non-parametric Estimation under Strong Dependence.

We study non-parametric regression function estimation for models with strong dependence. Compared with short-range dependent models, long-range dependent models often result in slower convergence rates. We propose a simple differencing-sequence based non-parametric estimator that achieves the same convergence rate as if the data were independent. Simulation studies show that the proposed metho...