We study the scaling behavior of M -furcation (M =2, 3, 4, . . .) sequences of M-period (n = 1, 2, . . .) orbits in two coupled one-dimensional (1D) maps. Using a renormalization method, how the scaling behavior depends on M is particularly investigated in the zero-coupling case in which the two 1D maps become uncoupled. The zero-coupling fixed map of the M -furcation renormalization transforma...

The molars are the teeth that suffer the greatest periodontal destruction in untreated patients. When periodontal disease affects the furcation of a tooth, the chance that it will be lost increases considerably. An increase in the exposed root surface, anatomical peculiarities and irregularities of the furcation surface all favor the growth of bacteria. These problems make it harder for the pat...

Pulpal and periodontal problems are responsible for more than half of the tooth mortality. There are some articles published in the literature about this issue. Many of them are quite old. There has been also lack of knowledge about the effect of endodontic treatment on the periodontal tissue healing and suitable treatment interval between endodontic and periodontal treatments. In this case rep...

BACKGROUND AND OBJECTIVE Modeling of periodontal bone regeneration in a large animal enables better examination of the spatial and temporal regulation of osteogenesis and the remodeling of the healing defect. RANK, RANKL and osteoprotegerin (OPG) are known to be important regulators of bone healing. The aim of this study was to create periodontal defects surgically in a large animal model and t...

In this paper we investigate the impact of delayed tax revenues on the fiscal policy outcomes. Choosing the delay as a bi-furcation parameter we study the direction and the stability of the bifurcating periodic solutions. With respect to the delay we show when the system is stable. Some numerical examples are finally given for justifying the theoretical results.