This work is concerned with planar real analytic differential systems with an analytic inverse integrating factor defined in a neighborhood of a regular orbit. We show that the inverse integrating factor defines an ordinary differential equation for the transition map along the orbit. When the regular orbit is a limit cycle, we can determine its associated Poincaré return map in terms of the in...

BACKGROUND AND PURPOSE The incidence and annual number of hip fractures have increased worldwide during the past 50 years, and projections have indicated a further increase. During the last decade, however, a down-turn in the incidence of hip fracture has been seen in the western world. We predicted the development of hip fractures in Sweden until the year 2050. METHODS We reviewed surgical r...

We study the double scaling limit of mKdV type, realized in the two-cut Hermitian matrix model. Building on the work of Periwal and Shevitz and of Nappi, we find an exact solution including all odd scaling operators, in terms of a hierarchy of flows of 2× 2 matrices. We derive from it loop equations which can be expressed as Virasoro constraints on the partition function. We discover a “pure to...

in this research, air sampling of workplaces was carried out by two methods (long - time and short - time). the mean formaldehyde concentration with long - time method in pathology labs, surgery and endoscopy sections were 0.96 0.25 and 0.13 ppm and with short - time method, 8 hours, was 3, 0.3 and 0.2 ppm. the mean formaldehyde concentration in pathology labs was above the standard values (tlv...

In this paper, we establish a unilateral diffusion Gompertz model of a single population in two patches in a theoretical way. Firstly, we prove the existence and uniqueness of an order-one periodic solution by the geometry theory of differential equations and the method of successor function. Secondly, we prove the stability of the order-one periodic solution by imitating the theory of the limi...

The classical limit of the Wigner-Weyl representation is used to approximate products of boundcontinuummatrix elements that are fundamental to many coherent control computations. The range of utility of the method is quantified through an examination of model problems, single-channel Na2 dissociation and multi-arrangement channel photodissociation of CH2IBr. Very good agreement with the exact q...

In this paper, the robust stability analysis of a fuzzy vehicle lateral system with perturbed parameters is presented. Firstly, the fuzzy controller can be linearized by utilizing the describing function method with experiments. After the describing function is obtained, the stability analysis of the vehicle lateral control system with the variations of velocity and friction is then carried out...

The bifurcation of limit cycles in single-input single-output control systems with saturation is considered. Under some non-degeneracy conditions, a theorem characterizing such bifurcation is stated for the cases of dimension two and three. In terms of the deviation from the critical value of the bifurcation parameter, expressions in form of power series for the period, amplitude and the charac...

The main focus of this talk is the physics of large N QCD on a continuum torus. A cascade of phase transitions associated with the breaking of U(1) symmetries will be discussed. The continuum Wilson loop as a function of its area will be discussed along with its universality properties and the associated double scaling limit. Some recent progress in twisted Eguchi-Kawai is presented. Gauge fiel...

In many practical situations the outputs of a plant are not measured exactly, but are corrupted by quantization errors. Often the effect of the quantization error is neglected in the control design phase, which can lead to undesirable effects like limit cycles and even chaotic behavior once the controller has been implemented. In this paper we present a method based on 11 optimal control that m...