Non-autonomous periodic systems with Allee effects

Non-Autonomous Periodic Systems with Allee Effects

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.  

PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS

There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...

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...

Non - autonomous 2 - periodic

We consider two types of non-autonomous 2-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the 2-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global...