Among the many problems attendant to the discovery of exotic generalized manifolds [2, 3] is the \normal bundle" problem, that is, the classi cation of neighborhoods of generalized manifolds tamely embedded in generalized manifolds (with the disjoint disks property). In this paper we study the normal structure of tame embeddings of a closed generalized manifold X into topological manifolds V n+...

The traditional SIRS virus propagation model is used to analyze the malware behavior of wireless rechargeable sensor networks (WRSNs) by adding a new concept: low-energy status nodes. SIRS-L has been developed in this article. Furthermore, influence time delay during charging nodes needs be considered. Hopf bifurcation studied discussing that chosen as parameter. Finally, properties are explore...

We prove a structural theorem that provides a precise local picture of how a sequence of closed embedded minimal hypersurfaces with uniformly bounded index (and volume if the ambient dimension is greater than three) in a Riemannian manifold (M, g), 3 ≤ n ≤ 7, can degenerate. Loosely speaking, our results show that embedded minimal hypersurfaces with bounded index behave qualitatively like embed...

In this paper, a delayed plankton-nutrient interaction model consisting of phytoplankton, zooplankton and dissolved nutrient is considered. It is assumed that some species of phytoplankton releases toxin (known as toxin producing phytoplankton (TPP)) which is harmful for zooplankton growth and this toxin releasing process follows a discrete time variation. Using delay as bifurcation parameter, ...

this paper studies a fractional boundary value problem of nonlineardifferential equations of arbitrary orders. new existence and uniquenessresults are established using banach contraction principle. other existenceresults are obtained using schaefer and krasnoselskii fixed point theorems.in order to clarify our results, some illustrative examples are alsopresented.

In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kähler manifold. We prove a local rigidity theorem. The result is related to the classical Ramadanov conjecture.

In this paper, we have considered a system of delay differential equations. The system without delayed arises in the Lengyel–Epstein model. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. Linear stability is investigated and existence of Hopf bifurcation is demonstrated via analyzing the associated characteristic equation. For the Hopf bifurcation analysis, th...

We use a notion (introduced in Topology 41 (2002), 1119–1212), which is stronger than the concept of filtration pair, to prove a stable/unstable manifold general theorem for local homeomorphisms of the plane in a neighborhood of an isolated fixed point.

In this paper, I prove a very general extension theorem for log pluricanonical systems. The strategy and the techniques used here are the same as [Ts3, Ts6, Ts7, Ts8]. The main application of this extension theorem is (together with Kawamata’s subadjunction theorem ([K5])) to give an optimal subadjunction theorem which relates the positivities of canonical bundle of the ambient projective manif...

A simple discrete recurrent neural network model is considered. The local stability is analyzed with the associated characteristic model. In order to study the quasi-periodic orbit dynamic behavior, it is necessary to determinate the Neimark-Sacker bifurcation. In the case of two neurons, one necessary condition that produces the Neimark-Sacker bifurcation is found. In addition to this, the sta...