In this paper, flip bifurcations of homoclinic orbits in conservative reversible systems are analysed. In such systems, orbit-flip and inclination-flip bifurcations occur simultaneously. It is shown that multi-pulses either do not bifurcate at all at flip bifurcation points or else bifurcate simultaneously to both sides of the bifurcation point. An application to a fifth-order model of water wa...

Stationary localized solutions of the planar Swift–Hohenberg equation are investigated in the parameter region where the trivial solution is stable. In the parameter region where rolls bifurcate subcritically, localized radial ring-like pulses are shown to bifurcate from the trivial solution. Furthermore, radial spot-like pulses are shown to bifurcate from the trivial state, regardless of the c...

We study the maximum number of limit cycles that can bifurcate from a degenerate center of a cubic homogeneous polynomial differential system. Using the averaging method of second order and perturbing inside the class of all cubic polynomial differential systems we prove that at most three limit cycles can bifurcate from the degenerate center. As far as we know this is the first time that a com...

BACKGROUND Distinguishing chronic telogen effluvium (CTE) from androgenetic alopecia (AGA) may be difficult especially when associated in the same patient. OBSERVATIONS One hundred consecutive patients with hair loss who were clinically diagnosed as having CTE, AGA, AGA + CTE, or remitting CTE. Patients washed their hair in the sink in a standardized way. All shed hairs were counted and divid...

The physiological properties of the ovipositor hair sensilla of the desert locust and their responses to wind and to direct mechanical displacement are described. The hairs on the external surfaces of the ventral and dorsal ovipositor valves respond to wind stimulation, whereas the hairs on the inner surfaces of the dorsal valves are not wind-sensitive. All ovipositor hairs, however, respond to...

A 5-year-old female, known case of pachyonychia congenita, presented with diffuse hair loss; remaining hairs were easily plucked kinky hairs. Hair samples from patient were investigated using a light microscope. The hairs of the patients were mainly anagen hairs and unlike normal plucked anagen hairs, showed keratinization and cornification of their hair bulbs. No specific hair shaft abnormalit...

In this paper we illustrate the explicit implementation of a method for computing limit cycles which bifurcate from a 2-dimensional isochronous set contained in R, when we perturb it inside a class of differential systems. This method is based in the averaging theory. As far as we know all applications of this method have been made perturbing noncompact surfaces, as for instance a plane or a cy...

L. Rudnicka et al. (eds.), Atlas of Trichoscopy, DOI 10.1007/978-1-4471-4486-1_2, © Springer-Verlag London 2012 Most hairs viewed on trichoscopy are normal terminal hairs that are more than 55 m m wide and are uniform in thickness and color [ 1, 2 ] . Hair shaft thickness may be roughly estimated with a handheld dermoscope (thin, normal, thick). Many videodermoscopes include software allowing a...